<div dir="ltr"><div><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><span class=""><div></div></span><div>It could be taking time in the MatMatMult() here if that matrix is dense. Is there any reason to</div><div>believe that is a good preconditioner for your problem?</div><div></div></div></div></div></blockquote></div><div><br></div>This is the first approach to the problem, so I chose the most simple setting. Do you have any other recommendation?<div><br></div><div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><div>For any solver question, please send us the output of</div><div><br></div><div> -ksp_view -ksp_monitor_true_residual -ksp_converged_reason</div><div><br></div></div></div></div></blockquote><div class="gmail_extra"><br></div><div class="gmail_extra">I sent here the full output (after changed to fgmres), again it takes long at the first iteration but after that, it does not converge</div><div class="gmail_extra"><br></div><div class="gmail_extra"><div class="gmail_extra">-ksp_type fgmres</div><div class="gmail_extra">-ksp_max_it 300</div><div class="gmail_extra">-ksp_gmres_restart 300</div><div class="gmail_extra">-ksp_gmres_modifiedgramschmidt</div><div class="gmail_extra">-pc_fieldsplit_type schur</div><div class="gmail_extra">-pc_fieldsplit_schur_fact_type diag</div><div class="gmail_extra">-pc_fieldsplit_schur_precondition selfp</div><div class="gmail_extra">-pc_fieldsplit_detect_saddle_point</div><div class="gmail_extra">-fieldsplit_u_ksp_type preonly</div><div class="gmail_extra">-fieldsplit_u_pc_type lu</div><div class="gmail_extra">-fieldsplit_u_pc_factor_mat_solver_package mumps</div><div class="gmail_extra">-fieldsplit_lu_ksp_type preonly</div><div class="gmail_extra">-fieldsplit_lu_pc_type lu</div><div class="gmail_extra">-fieldsplit_lu_pc_factor_mat_solver_package mumps<br></div></div><div class="gmail_extra"><br></div><div class="gmail_extra"><div class="gmail_extra"><div class="gmail_extra"> 0 KSP unpreconditioned resid norm 3.037772453815e+06 true resid norm 3.037772453815e+06 ||r(i)||/||b|| 1.000000000000e+00</div><div class="gmail_extra"> 1 KSP unpreconditioned resid norm 3.024368791893e+06 true resid norm 3.024368791296e+06 ||r(i)||/||b|| 9.955876673705e-01</div><div class="gmail_extra"> 2 KSP unpreconditioned resid norm 3.008534454663e+06 true resid norm 3.008534454904e+06 ||r(i)||/||b|| 9.903751846607e-01</div><div class="gmail_extra"> 3 KSP unpreconditioned resid norm 4.633282412600e+02 true resid norm 4.607539866185e+02 ||r(i)||/||b|| 1.516749505184e-04</div><div class="gmail_extra"> 4 KSP unpreconditioned resid norm 4.630592911836e+02 true resid norm 4.605625897903e+02 ||r(i)||/||b|| 1.516119448683e-04</div><div class="gmail_extra"> 5 KSP unpreconditioned resid norm 2.145735509629e+02 true resid norm 2.111697416683e+02 ||r(i)||/||b|| 6.951466736857e-05</div><div class="gmail_extra"> 6 KSP unpreconditioned resid norm 2.145734219762e+02 true resid norm 2.112001242378e+02 ||r(i)||/||b|| 6.952466896346e-05</div><div class="gmail_extra"> 7 KSP unpreconditioned resid norm 1.892914067411e+02 true resid norm 1.831020928502e+02 ||r(i)||/||b|| 6.027511791420e-05</div><div class="gmail_extra"> 8 KSP unpreconditioned resid norm 1.892906351597e+02 true resid norm 1.831422357767e+02 ||r(i)||/||b|| 6.028833250718e-05</div><div class="gmail_extra"> 9 KSP unpreconditioned resid norm 1.891426729822e+02 true resid norm 1.835600473014e+02 ||r(i)||/||b|| 6.042587128964e-05</div><div class="gmail_extra"> 10 KSP unpreconditioned resid norm 1.891425181679e+02 true resid norm 1.855772578041e+02 ||r(i)||/||b|| 6.108991395027e-05</div><div class="gmail_extra"> 11 KSP unpreconditioned resid norm 1.891417382057e+02 true resid norm 1.833302669042e+02 ||r(i)||/||b|| 6.035023020699e-05</div><div class="gmail_extra"> 12 KSP unpreconditioned resid norm 1.891414749001e+02 true resid norm 1.827923591605e+02 ||r(i)||/||b|| 6.017315712076e-05</div><div class="gmail_extra"> 13 KSP unpreconditioned resid norm 1.891414702834e+02 true resid norm 1.849895606391e+02 ||r(i)||/||b|| 6.089645075515e-05</div><div class="gmail_extra"> 14 KSP unpreconditioned resid norm 1.891414687385e+02 true resid norm 1.852700958573e+02 ||r(i)||/||b|| 6.098879974523e-05</div><div class="gmail_extra"> 15 KSP unpreconditioned resid norm 1.891399614701e+02 true resid norm 1.817034334576e+02 ||r(i)||/||b|| 5.981469521503e-05</div><div class="gmail_extra"> 16 KSP unpreconditioned resid norm 1.891393964580e+02 true resid norm 1.823173574739e+02 ||r(i)||/||b|| 6.001679199012e-05</div><div class="gmail_extra"> 17 KSP unpreconditioned resid norm 1.890868604964e+02 true resid norm 1.834754811775e+02 ||r(i)||/||b|| 6.039803308740e-05</div><div class="gmail_extra"> 18 KSP unpreconditioned resid norm 1.888442703508e+02 true resid norm 1.852079421560e+02 ||r(i)||/||b|| 6.096833945658e-05</div><div class="gmail_extra"> 19 KSP unpreconditioned resid norm 1.888131521870e+02 true resid norm 1.810111295757e+02 ||r(i)||/||b|| 5.958679668335e-05</div><div class="gmail_extra"> 20 KSP unpreconditioned resid norm 1.888038471618e+02 true resid norm 1.814080717355e+02 ||r(i)||/||b|| 5.971746550920e-05</div><div class="gmail_extra"> 21 KSP unpreconditioned resid norm 1.885794485272e+02 true resid norm 1.843223565278e+02 ||r(i)||/||b|| 6.067681478129e-05</div><div class="gmail_extra"> 22 KSP unpreconditioned resid norm 1.884898771362e+02 true resid norm 1.842766260526e+02 ||r(i)||/||b|| 6.066176083110e-05</div><div class="gmail_extra"> 23 KSP unpreconditioned resid norm 1.884840498049e+02 true resid norm 1.813011285152e+02 ||r(i)||/||b|| 5.968226102238e-05</div><div class="gmail_extra"> 24 KSP unpreconditioned resid norm 1.884105698955e+02 true resid norm 1.811513025118e+02 ||r(i)||/||b|| 5.963294001309e-05</div><div class="gmail_extra"> 25 KSP unpreconditioned resid norm 1.881392557375e+02 true resid norm 1.835706567649e+02 ||r(i)||/||b|| 6.042936380386e-05</div><div class="gmail_extra"> 26 KSP unpreconditioned resid norm 1.881234481250e+02 true resid norm 1.843633799886e+02 ||r(i)||/||b|| 6.069031923609e-05</div><div class="gmail_extra"> 27 KSP unpreconditioned resid norm 1.852572648925e+02 true resid norm 1.791532195358e+02 ||r(i)||/||b|| 5.897519391579e-05</div><div class="gmail_extra"> 28 KSP unpreconditioned resid norm 1.852177694782e+02 true resid norm 1.800935543889e+02 ||r(i)||/||b|| 5.928474141066e-05</div><div class="gmail_extra"> 29 KSP unpreconditioned resid norm 1.844720976468e+02 true resid norm 1.806835899755e+02 ||r(i)||/||b|| 5.947897438749e-05</div><div class="gmail_extra"> 30 KSP unpreconditioned resid norm 1.843525447108e+02 true resid norm 1.811351238391e+02 ||r(i)||/||b|| 5.962761417881e-05</div><div class="gmail_extra"> 31 KSP unpreconditioned resid norm 1.834262885149e+02 true resid norm 1.778584233423e+02 ||r(i)||/||b|| 5.854896179565e-05</div><div class="gmail_extra"> 32 KSP unpreconditioned resid norm 1.833523213017e+02 true resid norm 1.773290649733e+02 ||r(i)||/||b|| 5.837470306591e-05</div><div class="gmail_extra"> 33 KSP unpreconditioned resid norm 1.821645929344e+02 true resid norm 1.781151248933e+02 ||r(i)||/||b|| 5.863346501467e-05</div><div class="gmail_extra"> 34 KSP unpreconditioned resid norm 1.820831279534e+02 true resid norm 1.789778939067e+02 ||r(i)||/||b|| 5.891747872094e-05</div><div class="gmail_extra"> 35 KSP unpreconditioned resid norm 1.814860919375e+02 true resid norm 1.757339506869e+02 ||r(i)||/||b|| 5.784960965928e-05</div><div class="gmail_extra"> 36 KSP unpreconditioned resid norm 1.812512010159e+02 true resid norm 1.764086437459e+02 ||r(i)||/||b|| 5.807171090922e-05</div><div class="gmail_extra"> 37 KSP unpreconditioned resid norm 1.804298150360e+02 true resid norm 1.780147196442e+02 ||r(i)||/||b|| 5.860041275333e-05</div><div class="gmail_extra"> 38 KSP unpreconditioned resid norm 1.799675012847e+02 true resid norm 1.780554543786e+02 ||r(i)||/||b|| 5.861382216269e-05</div><div class="gmail_extra"> 39 KSP unpreconditioned resid norm 1.793156052097e+02 true resid norm 1.747985717965e+02 ||r(i)||/||b|| 5.754169361071e-05</div><div class="gmail_extra"> 40 KSP unpreconditioned resid norm 1.789109248325e+02 true resid norm 1.734086984879e+02 ||r(i)||/||b|| 5.708416319009e-05</div><div class="gmail_extra"> 41 KSP unpreconditioned resid norm 1.788931581371e+02 true resid norm 1.766103879126e+02 ||r(i)||/||b|| 5.813812278494e-05</div><div class="gmail_extra"> 42 KSP unpreconditioned resid norm 1.785522436483e+02 true resid norm 1.762597032909e+02 ||r(i)||/||b|| 5.802268141233e-05</div><div class="gmail_extra"> 43 KSP unpreconditioned resid norm 1.783317950582e+02 true resid norm 1.752774080448e+02 ||r(i)||/||b|| 5.769932103530e-05</div><div class="gmail_extra"> 44 KSP unpreconditioned resid norm 1.782832982797e+02 true resid norm 1.741667594885e+02 ||r(i)||/||b|| 5.733370821430e-05</div><div class="gmail_extra"> 45 KSP unpreconditioned resid norm 1.781302427969e+02 true resid norm 1.760315735899e+02 ||r(i)||/||b|| 5.794758372005e-05</div><div class="gmail_extra"> 46 KSP unpreconditioned resid norm 1.780557458973e+02 true resid norm 1.757279911034e+02 ||r(i)||/||b|| 5.784764783244e-05</div><div class="gmail_extra"> 47 KSP unpreconditioned resid norm 1.774691940686e+02 true resid norm 1.729436852773e+02 ||r(i)||/||b|| 5.693108615167e-05</div><div class="gmail_extra"> 48 KSP unpreconditioned resid norm 1.771436357084e+02 true resid norm 1.734001323688e+02 ||r(i)||/||b|| 5.708134332148e-05</div><div class="gmail_extra"> 49 KSP unpreconditioned resid norm 1.756105727417e+02 true resid norm 1.740222172981e+02 ||r(i)||/||b|| 5.728612657594e-05</div><div class="gmail_extra"> 50 KSP unpreconditioned resid norm 1.756011794480e+02 true resid norm 1.736979026533e+02 ||r(i)||/||b|| 5.717936589858e-05</div><div class="gmail_extra"> 51 KSP unpreconditioned resid norm 1.751096154950e+02 true resid norm 1.713154407940e+02 ||r(i)||/||b|| 5.639508666256e-05</div><div class="gmail_extra"> 52 KSP unpreconditioned resid norm 1.712639990486e+02 true resid norm 1.684444278579e+02 ||r(i)||/||b|| 5.544998199137e-05</div><div class="gmail_extra"> 53 KSP unpreconditioned resid norm 1.710183053728e+02 true resid norm 1.692712952670e+02 ||r(i)||/||b|| 5.572217729951e-05</div><div class="gmail_extra"> 54 KSP unpreconditioned resid norm 1.655470115849e+02 true resid norm 1.631767858448e+02 ||r(i)||/||b|| 5.371593439788e-05</div><div class="gmail_extra"> 55 KSP unpreconditioned resid norm 1.648313805392e+02 true resid norm 1.617509396670e+02 ||r(i)||/||b|| 5.324656211951e-05</div><div class="gmail_extra"> 56 KSP unpreconditioned resid norm 1.643417766012e+02 true resid norm 1.614766932468e+02 ||r(i)||/||b|| 5.315628332992e-05</div><div class="gmail_extra"> 57 KSP unpreconditioned resid norm 1.643165564782e+02 true resid norm 1.611660297521e+02 ||r(i)||/||b|| 5.305401645527e-05</div><div class="gmail_extra"> 58 KSP unpreconditioned resid norm 1.639561245303e+02 true resid norm 1.616105878219e+02 ||r(i)||/||b|| 5.320035989496e-05</div><div class="gmail_extra"> 59 KSP unpreconditioned resid norm 1.636859175366e+02 true resid norm 1.601704798933e+02 ||r(i)||/||b|| 5.272629281109e-05</div><div class="gmail_extra"> 60 KSP unpreconditioned resid norm 1.633269681891e+02 true resid norm 1.603249334191e+02 ||r(i)||/||b|| 5.277713714789e-05</div><div class="gmail_extra"> 61 KSP unpreconditioned resid norm 1.633257086864e+02 true resid norm 1.602922744638e+02 ||r(i)||/||b|| 5.276638619280e-05</div><div class="gmail_extra"> 62 KSP unpreconditioned resid norm 1.629449737049e+02 true resid norm 1.605812790996e+02 ||r(i)||/||b|| 5.286152321842e-05</div><div class="gmail_extra"> 63 KSP unpreconditioned resid norm 1.629422151091e+02 true resid norm 1.589656479615e+02 ||r(i)||/||b|| 5.232967589850e-05</div><div class="gmail_extra"> 64 KSP unpreconditioned resid norm 1.624767340901e+02 true resid norm 1.601925152173e+02 ||r(i)||/||b|| 5.273354658809e-05</div><div class="gmail_extra"> 65 KSP unpreconditioned resid norm 1.614000473427e+02 true resid norm 1.600055285874e+02 ||r(i)||/||b|| 5.267199272497e-05</div><div class="gmail_extra"> 66 KSP unpreconditioned resid norm 1.599192711038e+02 true resid norm 1.602225820054e+02 ||r(i)||/||b|| 5.274344423136e-05</div><div class="gmail_extra"> 67 KSP unpreconditioned resid norm 1.562002802473e+02 true resid norm 1.582069452329e+02 ||r(i)||/||b|| 5.207991962471e-05</div><div class="gmail_extra"> 68 KSP unpreconditioned resid norm 1.552436010567e+02 true resid norm 1.584249134588e+02 ||r(i)||/||b|| 5.215167227548e-05</div><div class="gmail_extra"> 69 KSP unpreconditioned resid norm 1.507627069906e+02 true resid norm 1.530713322210e+02 ||r(i)||/||b|| 5.038933447066e-05</div><div class="gmail_extra"> 70 KSP unpreconditioned resid norm 1.503802419288e+02 true resid norm 1.526772130725e+02 ||r(i)||/||b|| 5.025959494786e-05</div><div class="gmail_extra"> 71 KSP unpreconditioned resid norm 1.483645684459e+02 true resid norm 1.509599328686e+02 ||r(i)||/||b|| 4.969428591633e-05</div><div class="gmail_extra"> 72 KSP unpreconditioned resid norm 1.481979533059e+02 true resid norm 1.535340885300e+02 ||r(i)||/||b|| 5.054166856281e-05</div><div class="gmail_extra"> 73 KSP unpreconditioned resid norm 1.481400704979e+02 true resid norm 1.509082933863e+02 ||r(i)||/||b|| 4.967728678847e-05</div><div class="gmail_extra"> 74 KSP unpreconditioned resid norm 1.481132272449e+02 true resid norm 1.513298398754e+02 ||r(i)||/||b|| 4.981605507858e-05</div><div class="gmail_extra"> 75 KSP unpreconditioned resid norm 1.481101708026e+02 true resid norm 1.502466334943e+02 ||r(i)||/||b|| 4.945947590828e-05</div><div class="gmail_extra"> 76 KSP unpreconditioned resid norm 1.481010335860e+02 true resid norm 1.533384206564e+02 ||r(i)||/||b|| 5.047725693339e-05</div><div class="gmail_extra"> 77 KSP unpreconditioned resid norm 1.480865328511e+02 true resid norm 1.508354096349e+02 ||r(i)||/||b|| 4.965329428986e-05</div><div class="gmail_extra"> 78 KSP unpreconditioned resid norm 1.480582653674e+02 true resid norm 1.493335938981e+02 ||r(i)||/||b|| 4.915891370027e-05</div><div class="gmail_extra"> 79 KSP unpreconditioned resid norm 1.480031554288e+02 true resid norm 1.505131104808e+02 ||r(i)||/||b|| 4.954719708903e-05</div><div class="gmail_extra"> 80 KSP unpreconditioned resid norm 1.479574822714e+02 true resid norm 1.540226621640e+02 ||r(i)||/||b|| 5.070250142355e-05</div><div class="gmail_extra"> 81 KSP unpreconditioned resid norm 1.479574535946e+02 true resid norm 1.498368142318e+02 ||r(i)||/||b|| 4.932456808727e-05</div><div class="gmail_extra"> 82 KSP unpreconditioned resid norm 1.479436001532e+02 true resid norm 1.512355315895e+02 ||r(i)||/||b|| 4.978500986785e-05</div><div class="gmail_extra"> 83 KSP unpreconditioned resid norm 1.479410419985e+02 true resid norm 1.513924042216e+02 ||r(i)||/||b|| 4.983665054686e-05</div><div class="gmail_extra"> 84 KSP unpreconditioned resid norm 1.477087197314e+02 true resid norm 1.519847216835e+02 ||r(i)||/||b|| 5.003163469095e-05</div><div class="gmail_extra"> 85 KSP unpreconditioned resid norm 1.477081559094e+02 true resid norm 1.507153721984e+02 ||r(i)||/||b|| 4.961377933660e-05</div><div class="gmail_extra"> 86 KSP unpreconditioned resid norm 1.476420890986e+02 true resid norm 1.512147907360e+02 ||r(i)||/||b|| 4.977818221576e-05</div><div class="gmail_extra"> 87 KSP unpreconditioned resid norm 1.476086929880e+02 true resid norm 1.508513380647e+02 ||r(i)||/||b|| 4.965853774704e-05</div><div class="gmail_extra"> 88 KSP unpreconditioned resid norm 1.475729830724e+02 true resid norm 1.521640656963e+02 ||r(i)||/||b|| 5.009067269183e-05</div><div class="gmail_extra"> 89 KSP unpreconditioned resid norm 1.472338605465e+02 true resid norm 1.506094588356e+02 ||r(i)||/||b|| 4.957891386713e-05</div><div class="gmail_extra"> 90 KSP unpreconditioned resid norm 1.472079944867e+02 true resid norm 1.504582871439e+02 ||r(i)||/||b|| 4.952914987262e-05</div><div class="gmail_extra"> 91 KSP unpreconditioned resid norm 1.469363056078e+02 true resid norm 1.506425446156e+02 ||r(i)||/||b|| 4.958980532804e-05</div><div class="gmail_extra"> 92 KSP unpreconditioned resid norm 1.469110799022e+02 true resid norm 1.509842019134e+02 ||r(i)||/||b|| 4.970227500870e-05</div><div class="gmail_extra"> 93 KSP unpreconditioned resid norm 1.468779696240e+02 true resid norm 1.501105195969e+02 ||r(i)||/||b|| 4.941466876770e-05</div><div class="gmail_extra"> 94 KSP unpreconditioned resid norm 1.468777757710e+02 true resid norm 1.491460779150e+02 ||r(i)||/||b|| 4.909718558007e-05</div><div class="gmail_extra"> 95 KSP unpreconditioned resid norm 1.468774588833e+02 true resid norm 1.519041612996e+02 ||r(i)||/||b|| 5.000511513258e-05</div><div class="gmail_extra"> 96 KSP unpreconditioned resid norm 1.468771672305e+02 true resid norm 1.508986277767e+02 ||r(i)||/||b|| 4.967410498018e-05</div><div class="gmail_extra"> 97 KSP unpreconditioned resid norm 1.468771086724e+02 true resid norm 1.500987040931e+02 ||r(i)||/||b|| 4.941077923878e-05</div><div class="gmail_extra"> 98 KSP unpreconditioned resid norm 1.468769529855e+02 true resid norm 1.509749203169e+02 ||r(i)||/||b|| 4.969921961314e-05</div><div class="gmail_extra"> 99 KSP unpreconditioned resid norm 1.468539019917e+02 true resid norm 1.505087391266e+02 ||r(i)||/||b|| 4.954575808916e-05</div><div class="gmail_extra">100 KSP unpreconditioned resid norm 1.468527260351e+02 true resid norm 1.519470484364e+02 ||r(i)||/||b|| 5.001923308823e-05</div><div class="gmail_extra">101 KSP unpreconditioned resid norm 1.468342327062e+02 true resid norm 1.489814197970e+02 ||r(i)||/||b|| 4.904298200804e-05</div><div class="gmail_extra">102 KSP unpreconditioned resid norm 1.468333201903e+02 true resid norm 1.491479405434e+02 ||r(i)||/||b|| 4.909779873608e-05</div><div class="gmail_extra">103 KSP unpreconditioned resid norm 1.468287736823e+02 true resid norm 1.496401088908e+02 ||r(i)||/||b|| 4.925981493540e-05</div><div class="gmail_extra">104 KSP unpreconditioned resid norm 1.468269778777e+02 true resid norm 1.509676608058e+02 ||r(i)||/||b|| 4.969682986500e-05</div><div class="gmail_extra">105 KSP unpreconditioned resid norm 1.468214752527e+02 true resid norm 1.500441644659e+02 ||r(i)||/||b|| 4.939282541636e-05</div><div class="gmail_extra">106 KSP unpreconditioned resid norm 1.468208033546e+02 true resid norm 1.510964155942e+02 ||r(i)||/||b|| 4.973921447094e-05</div><div class="gmail_extra">107 KSP unpreconditioned resid norm 1.467590018852e+02 true resid norm 1.512302088409e+02 ||r(i)||/||b|| 4.978325767980e-05</div><div class="gmail_extra">108 KSP unpreconditioned resid norm 1.467588908565e+02 true resid norm 1.501053278370e+02 ||r(i)||/||b|| 4.941295969963e-05</div><div class="gmail_extra">109 KSP unpreconditioned resid norm 1.467570731153e+02 true resid norm 1.485494378220e+02 ||r(i)||/||b|| 4.890077847519e-05</div><div class="gmail_extra">110 KSP unpreconditioned resid norm 1.467399860352e+02 true resid norm 1.504418099302e+02 ||r(i)||/||b|| 4.952372576205e-05</div><div class="gmail_extra">111 KSP unpreconditioned resid norm 1.467095654863e+02 true resid norm 1.507288583410e+02 ||r(i)||/||b|| 4.961821882075e-05</div><div class="gmail_extra">112 KSP unpreconditioned resid norm 1.467065865602e+02 true resid norm 1.517786399520e+02 ||r(i)||/||b|| 4.996379493842e-05</div><div class="gmail_extra">113 KSP unpreconditioned resid norm 1.466898232510e+02 true resid norm 1.491434236258e+02 ||r(i)||/||b|| 4.909631181838e-05</div><div class="gmail_extra">114 KSP unpreconditioned resid norm 1.466897921426e+02 true resid norm 1.505605420512e+02 ||r(i)||/||b|| 4.956281102033e-05</div><div class="gmail_extra">115 KSP unpreconditioned resid norm 1.466593121787e+02 true resid norm 1.500608650677e+02 ||r(i)||/||b|| 4.939832306376e-05</div><div class="gmail_extra">116 KSP unpreconditioned resid norm 1.466590894710e+02 true resid norm 1.503102560128e+02 ||r(i)||/||b|| 4.948041971478e-05</div><div class="gmail_extra">117 KSP unpreconditioned resid norm 1.465338856917e+02 true resid norm 1.501331730933e+02 ||r(i)||/||b|| 4.942212604002e-05</div><div class="gmail_extra">118 KSP unpreconditioned resid norm 1.464192893188e+02 true resid norm 1.505131429801e+02 ||r(i)||/||b|| 4.954720778744e-05</div><div class="gmail_extra">119 KSP unpreconditioned resid norm 1.463859793112e+02 true resid norm 1.504355712014e+02 ||r(i)||/||b|| 4.952167204377e-05</div><div class="gmail_extra">120 KSP unpreconditioned resid norm 1.459254939182e+02 true resid norm 1.526513923221e+02 ||r(i)||/||b|| 5.025109505170e-05</div><div class="gmail_extra">121 KSP unpreconditioned resid norm 1.456973020864e+02 true resid norm 1.496897691500e+02 ||r(i)||/||b|| 4.927616252562e-05</div><div class="gmail_extra">122 KSP unpreconditioned resid norm 1.456904663212e+02 true resid norm 1.488752755634e+02 ||r(i)||/||b|| 4.900804053853e-05</div><div class="gmail_extra">123 KSP unpreconditioned resid norm 1.449254956591e+02 true resid norm 1.494048196254e+02 ||r(i)||/||b|| 4.918236039628e-05</div><div class="gmail_extra">124 KSP unpreconditioned resid norm 1.448408616171e+02 true resid norm 1.507801939332e+02 ||r(i)||/||b|| 4.963511791142e-05</div><div class="gmail_extra">125 KSP unpreconditioned resid norm 1.447662934870e+02 true resid norm 1.495157701445e+02 ||r(i)||/||b|| 4.921888404010e-05</div><div class="gmail_extra">126 KSP unpreconditioned resid norm 1.446934748257e+02 true resid norm 1.511098625097e+02 ||r(i)||/||b|| 4.974364104196e-05</div><div class="gmail_extra">127 KSP unpreconditioned resid norm 1.446892504333e+02 true resid norm 1.493367018275e+02 ||r(i)||/||b|| 4.915993679512e-05</div><div class="gmail_extra">128 KSP unpreconditioned resid norm 1.446838883996e+02 true resid norm 1.510097796622e+02 ||r(i)||/||b|| 4.971069491153e-05</div><div class="gmail_extra">129 KSP unpreconditioned resid norm 1.446696373784e+02 true resid norm 1.463776964101e+02 ||r(i)||/||b|| 4.818586600396e-05</div><div class="gmail_extra">130 KSP unpreconditioned resid norm 1.446690766798e+02 true resid norm 1.495018999638e+02 ||r(i)||/||b|| 4.921431813499e-05</div><div class="gmail_extra">131 KSP unpreconditioned resid norm 1.446480744133e+02 true resid norm 1.499605592408e+02 ||r(i)||/||b|| 4.936530353102e-05</div><div class="gmail_extra">132 KSP unpreconditioned resid norm 1.446220543422e+02 true resid norm 1.498225445439e+02 ||r(i)||/||b|| 4.931987066895e-05</div><div class="gmail_extra">133 KSP unpreconditioned resid norm 1.446156526760e+02 true resid norm 1.481441673781e+02 ||r(i)||/||b|| 4.876736807329e-05</div><div class="gmail_extra">134 KSP unpreconditioned resid norm 1.446152477418e+02 true resid norm 1.501616466283e+02 ||r(i)||/||b|| 4.943149920257e-05</div><div class="gmail_extra">135 KSP unpreconditioned resid norm 1.445744489044e+02 true resid norm 1.505958339620e+02 ||r(i)||/||b|| 4.957442871432e-05</div><div class="gmail_extra">136 KSP unpreconditioned resid norm 1.445307936181e+02 true resid norm 1.502091787932e+02 ||r(i)||/||b|| 4.944714624841e-05</div><div class="gmail_extra">137 KSP unpreconditioned resid norm 1.444543817248e+02 true resid norm 1.491871661616e+02 ||r(i)||/||b|| 4.911071136162e-05</div><div class="gmail_extra">138 KSP unpreconditioned resid norm 1.444176915911e+02 true resid norm 1.478091693367e+02 ||r(i)||/||b|| 4.865709054379e-05</div><div class="gmail_extra">139 KSP unpreconditioned resid norm 1.444173719058e+02 true resid norm 1.495962731374e+02 ||r(i)||/||b|| 4.924538470600e-05</div><div class="gmail_extra">140 KSP unpreconditioned resid norm 1.444075340820e+02 true resid norm 1.515103203654e+02 ||r(i)||/||b|| 4.987546719477e-05</div><div class="gmail_extra">141 KSP unpreconditioned resid norm 1.444050342939e+02 true resid norm 1.498145746307e+02 ||r(i)||/||b|| 4.931724706454e-05</div><div class="gmail_extra">142 KSP unpreconditioned resid norm 1.443757787691e+02 true resid norm 1.492291154146e+02 ||r(i)||/||b|| 4.912452057664e-05</div><div class="gmail_extra">143 KSP unpreconditioned resid norm 1.440588930707e+02 true resid norm 1.485032724987e+02 ||r(i)||/||b|| 4.888558137795e-05</div><div class="gmail_extra">144 KSP unpreconditioned resid norm 1.438299468441e+02 true resid norm 1.506129385276e+02 ||r(i)||/||b|| 4.958005934200e-05</div><div class="gmail_extra">145 KSP unpreconditioned resid norm 1.434543079403e+02 true resid norm 1.471733741230e+02 ||r(i)||/||b|| 4.844779402032e-05</div><div class="gmail_extra">146 KSP unpreconditioned resid norm 1.433157223870e+02 true resid norm 1.481025707968e+02 ||r(i)||/||b|| 4.875367495378e-05</div><div class="gmail_extra">147 KSP unpreconditioned resid norm 1.430111913458e+02 true resid norm 1.485000481919e+02 ||r(i)||/||b|| 4.888451997299e-05</div><div class="gmail_extra">148 KSP unpreconditioned resid norm 1.430056153071e+02 true resid norm 1.496425172884e+02 ||r(i)||/||b|| 4.926060775239e-05</div><div class="gmail_extra">149 KSP unpreconditioned resid norm 1.429327762233e+02 true resid norm 1.467613264791e+02 ||r(i)||/||b|| 4.831215264157e-05</div><div class="gmail_extra">150 KSP unpreconditioned resid norm 1.424230217603e+02 true resid norm 1.460277537447e+02 ||r(i)||/||b|| 4.807066887493e-05</div><div class="gmail_extra">151 KSP unpreconditioned resid norm 1.421912821676e+02 true resid norm 1.470486188164e+02 ||r(i)||/||b|| 4.840672599809e-05</div><div class="gmail_extra">152 KSP unpreconditioned resid norm 1.420344275315e+02 true resid norm 1.481536901943e+02 ||r(i)||/||b|| 4.877050287565e-05</div><div class="gmail_extra">153 KSP unpreconditioned resid norm 1.420071178597e+02 true resid norm 1.450813684108e+02 ||r(i)||/||b|| 4.775912963085e-05</div><div class="gmail_extra">154 KSP unpreconditioned resid norm 1.419367456470e+02 true resid norm 1.472052819440e+02 ||r(i)||/||b|| 4.845829771059e-05</div><div class="gmail_extra">155 KSP unpreconditioned resid norm 1.419032748919e+02 true resid norm 1.479193155584e+02 ||r(i)||/||b|| 4.869334942209e-05</div><div class="gmail_extra">156 KSP unpreconditioned resid norm 1.418899781440e+02 true resid norm 1.478677351572e+02 ||r(i)||/||b|| 4.867636974307e-05</div><div class="gmail_extra">157 KSP unpreconditioned resid norm 1.418895621075e+02 true resid norm 1.455168237674e+02 ||r(i)||/||b|| 4.790247656128e-05</div><div class="gmail_extra">158 KSP unpreconditioned resid norm 1.418061469023e+02 true resid norm 1.467147028974e+02 ||r(i)||/||b|| 4.829680469093e-05</div><div class="gmail_extra">159 KSP unpreconditioned resid norm 1.417948698213e+02 true resid norm 1.478376854834e+02 ||r(i)||/||b|| 4.866647773362e-05</div><div class="gmail_extra">160 KSP unpreconditioned resid norm 1.415166832324e+02 true resid norm 1.475436433192e+02 ||r(i)||/||b|| 4.856968241116e-05</div><div class="gmail_extra">161 KSP unpreconditioned resid norm 1.414939087573e+02 true resid norm 1.468361945080e+02 ||r(i)||/||b|| 4.833679834170e-05</div><div class="gmail_extra">162 KSP unpreconditioned resid norm 1.414544622036e+02 true resid norm 1.475730757600e+02 ||r(i)||/||b|| 4.857937123456e-05</div><div class="gmail_extra">163 KSP unpreconditioned resid norm 1.413780373982e+02 true resid norm 1.463891808066e+02 ||r(i)||/||b|| 4.818964653614e-05</div><div class="gmail_extra">164 KSP unpreconditioned resid norm 1.413741853943e+02 true resid norm 1.481999741168e+02 ||r(i)||/||b|| 4.878573901436e-05</div><div class="gmail_extra">165 KSP unpreconditioned resid norm 1.413725682642e+02 true resid norm 1.458413423932e+02 ||r(i)||/||b|| 4.800930438685e-05</div><div class="gmail_extra">166 KSP unpreconditioned resid norm 1.412970845566e+02 true resid norm 1.481492296610e+02 ||r(i)||/||b|| 4.876903451901e-05</div><div class="gmail_extra">167 KSP unpreconditioned resid norm 1.410100899597e+02 true resid norm 1.468338434340e+02 ||r(i)||/||b|| 4.833602439497e-05</div><div class="gmail_extra">168 KSP unpreconditioned resid norm 1.409983320599e+02 true resid norm 1.485378957202e+02 ||r(i)||/||b|| 4.889697894709e-05</div><div class="gmail_extra">169 KSP unpreconditioned resid norm 1.407688141293e+02 true resid norm 1.461003623074e+02 ||r(i)||/||b|| 4.809457078458e-05</div><div class="gmail_extra">170 KSP unpreconditioned resid norm 1.407072771004e+02 true resid norm 1.463217409181e+02 ||r(i)||/||b|| 4.816744609502e-05</div><div class="gmail_extra">171 KSP unpreconditioned resid norm 1.407069670790e+02 true resid norm 1.464695099700e+02 ||r(i)||/||b|| 4.821608997937e-05</div><div class="gmail_extra">172 KSP unpreconditioned resid norm 1.402361094414e+02 true resid norm 1.493786053835e+02 ||r(i)||/||b|| 4.917373096721e-05</div><div class="gmail_extra">173 KSP unpreconditioned resid norm 1.400618325859e+02 true resid norm 1.465475533254e+02 ||r(i)||/||b|| 4.824178096070e-05</div><div class="gmail_extra">174 KSP unpreconditioned resid norm 1.400573078320e+02 true resid norm 1.471993735980e+02 ||r(i)||/||b|| 4.845635275056e-05</div><div class="gmail_extra">175 KSP unpreconditioned resid norm 1.400258865388e+02 true resid norm 1.479779387468e+02 ||r(i)||/||b|| 4.871264750624e-05</div><div class="gmail_extra">176 KSP unpreconditioned resid norm 1.396589283831e+02 true resid norm 1.476626943974e+02 ||r(i)||/||b|| 4.860887266654e-05</div><div class="gmail_extra">177 KSP unpreconditioned resid norm 1.395796112440e+02 true resid norm 1.443093901655e+02 ||r(i)||/||b|| 4.750500320860e-05</div><div class="gmail_extra">178 KSP unpreconditioned resid norm 1.394749154493e+02 true resid norm 1.447914005206e+02 ||r(i)||/||b|| 4.766367551289e-05</div><div class="gmail_extra">179 KSP unpreconditioned resid norm 1.394476969416e+02 true resid norm 1.455635964329e+02 ||r(i)||/||b|| 4.791787358864e-05</div><div class="gmail_extra">180 KSP unpreconditioned resid norm 1.391990722790e+02 true resid norm 1.457511594620e+02 ||r(i)||/||b|| 4.797961719582e-05</div><div class="gmail_extra">181 KSP unpreconditioned resid norm 1.391686315799e+02 true resid norm 1.460567495143e+02 ||r(i)||/||b|| 4.808021395114e-05</div><div class="gmail_extra">182 KSP unpreconditioned resid norm 1.387654475794e+02 true resid norm 1.468215388414e+02 ||r(i)||/||b|| 4.833197386362e-05</div><div class="gmail_extra">183 KSP unpreconditioned resid norm 1.384925240232e+02 true resid norm 1.456091052791e+02 ||r(i)||/||b|| 4.793285458106e-05</div><div class="gmail_extra">184 KSP unpreconditioned resid norm 1.378003249970e+02 true resid norm 1.453421051371e+02 ||r(i)||/||b|| 4.784496118351e-05</div><div class="gmail_extra">185 KSP unpreconditioned resid norm 1.377904214978e+02 true resid norm 1.441752187090e+02 ||r(i)||/||b|| 4.746083549740e-05</div><div class="gmail_extra">186 KSP unpreconditioned resid norm 1.376670282479e+02 true resid norm 1.441674745344e+02 ||r(i)||/||b|| 4.745828620353e-05</div><div class="gmail_extra">187 KSP unpreconditioned resid norm 1.376636051755e+02 true resid norm 1.463118783906e+02 ||r(i)||/||b|| 4.816419946362e-05</div><div class="gmail_extra">188 KSP unpreconditioned resid norm 1.363148994276e+02 true resid norm 1.432997756128e+02 ||r(i)||/||b|| 4.717264962781e-05</div><div class="gmail_extra">189 KSP unpreconditioned resid norm 1.363051099558e+02 true resid norm 1.451009062639e+02 ||r(i)||/||b|| 4.776556126897e-05</div><div class="gmail_extra">190 KSP unpreconditioned resid norm 1.362538398564e+02 true resid norm 1.438957985476e+02 ||r(i)||/||b|| 4.736885357127e-05</div><div class="gmail_extra">191 KSP unpreconditioned resid norm 1.358335705250e+02 true resid norm 1.436616069458e+02 ||r(i)||/||b|| 4.729176037047e-05</div><div class="gmail_extra">192 KSP unpreconditioned resid norm 1.337424103882e+02 true resid norm 1.432816138672e+02 ||r(i)||/||b|| 4.716667098856e-05</div><div class="gmail_extra">193 KSP unpreconditioned resid norm 1.337419543121e+02 true resid norm 1.405274691954e+02 ||r(i)||/||b|| 4.626003801533e-05</div><div class="gmail_extra">194 KSP unpreconditioned resid norm 1.322568117657e+02 true resid norm 1.417123189671e+02 ||r(i)||/||b|| 4.665007702902e-05</div><div class="gmail_extra">195 KSP unpreconditioned resid norm 1.320880115122e+02 true resid norm 1.413658215058e+02 ||r(i)||/||b|| 4.653601402181e-05</div><div class="gmail_extra">196 KSP unpreconditioned resid norm 1.312526182172e+02 true resid norm 1.420574070412e+02 ||r(i)||/||b|| 4.676367608204e-05</div><div class="gmail_extra">197 KSP unpreconditioned resid norm 1.311651332692e+02 true resid norm 1.398984125128e+02 ||r(i)||/||b|| 4.605295973934e-05</div><div class="gmail_extra">198 KSP unpreconditioned resid norm 1.294482397720e+02 true resid norm 1.380390703259e+02 ||r(i)||/||b|| 4.544088552537e-05</div><div class="gmail_extra">199 KSP unpreconditioned resid norm 1.293598434732e+02 true resid norm 1.373830689903e+02 ||r(i)||/||b|| 4.522493737731e-05</div><div class="gmail_extra">200 KSP unpreconditioned resid norm 1.265165992897e+02 true resid norm 1.375015523244e+02 ||r(i)||/||b|| 4.526394073779e-05</div><div class="gmail_extra">201 KSP unpreconditioned resid norm 1.263813235463e+02 true resid norm 1.356820166419e+02 ||r(i)||/||b|| 4.466497037047e-05</div><div class="gmail_extra">202 KSP unpreconditioned resid norm 1.243190164198e+02 true resid norm 1.366420975402e+02 ||r(i)||/||b|| 4.498101803792e-05</div><div class="gmail_extra">203 KSP unpreconditioned resid norm 1.230747513665e+02 true resid norm 1.348856851681e+02 ||r(i)||/||b|| 4.440282714351e-05</div><div class="gmail_extra">204 KSP unpreconditioned resid norm 1.198014010398e+02 true resid norm 1.325188356617e+02 ||r(i)||/||b|| 4.362368731578e-05</div><div class="gmail_extra">205 KSP unpreconditioned resid norm 1.195977240348e+02 true resid norm 1.299721846860e+02 ||r(i)||/||b|| 4.278535889769e-05</div><div class="gmail_extra">206 KSP unpreconditioned resid norm 1.130620928393e+02 true resid norm 1.266961052950e+02 ||r(i)||/||b|| 4.170691097546e-05</div><div class="gmail_extra">207 KSP unpreconditioned resid norm 1.123992882530e+02 true resid norm 1.270907813369e+02 ||r(i)||/||b|| 4.183683382120e-05</div><div class="gmail_extra">208 KSP unpreconditioned resid norm 1.063236317163e+02 true resid norm 1.182163029843e+02 ||r(i)||/||b|| 3.891545689533e-05</div><div class="gmail_extra">209 KSP unpreconditioned resid norm 1.059802897214e+02 true resid norm 1.187516613498e+02 ||r(i)||/||b|| 3.909169075539e-05</div><div class="gmail_extra">210 KSP unpreconditioned resid norm 9.878733567790e+01 true resid norm 1.124812677115e+02 ||r(i)||/||b|| 3.702754877846e-05</div><div class="gmail_extra">211 KSP unpreconditioned resid norm 9.861048081032e+01 true resid norm 1.117192174341e+02 ||r(i)||/||b|| 3.677669052986e-05</div><div class="gmail_extra">212 KSP unpreconditioned resid norm 9.169383217455e+01 true resid norm 1.102172324977e+02 ||r(i)||/||b|| 3.628225424167e-05</div><div class="gmail_extra">213 KSP unpreconditioned resid norm 9.146164223196e+01 true resid norm 1.121134424773e+02 ||r(i)||/||b|| 3.690646491198e-05</div><div class="gmail_extra">214 KSP unpreconditioned resid norm 8.692213412954e+01 true resid norm 1.056264039532e+02 ||r(i)||/||b|| 3.477100591276e-05</div><div class="gmail_extra">215 KSP unpreconditioned resid norm 8.685846611574e+01 true resid norm 1.029018845366e+02 ||r(i)||/||b|| 3.387412523521e-05</div><div class="gmail_extra">216 KSP unpreconditioned resid norm 7.808516472373e+01 true resid norm 9.749023000535e+01 ||r(i)||/||b|| 3.209267036539e-05</div><div class="gmail_extra">217 KSP unpreconditioned resid norm 7.786400257086e+01 true resid norm 1.004515546585e+02 ||r(i)||/||b|| 3.306750462244e-05</div><div class="gmail_extra">218 KSP unpreconditioned resid norm 6.646475864029e+01 true resid norm 9.429020541969e+01 ||r(i)||/||b|| 3.103925881653e-05</div><div class="gmail_extra">219 KSP unpreconditioned resid norm 6.643821996375e+01 true resid norm 8.864525788550e+01 ||r(i)||/||b|| 2.918100655438e-05</div><div class="gmail_extra">220 KSP unpreconditioned resid norm 5.625046780791e+01 true resid norm 8.410041684883e+01 ||r(i)||/||b|| 2.768489678784e-05</div><div class="gmail_extra">221 KSP unpreconditioned resid norm 5.623343238032e+01 true resid norm 8.815552919640e+01 ||r(i)||/||b|| 2.901979346270e-05</div><div class="gmail_extra">222 KSP unpreconditioned resid norm 4.491016868776e+01 true resid norm 8.557052117768e+01 ||r(i)||/||b|| 2.816883834410e-05</div><div class="gmail_extra">223 KSP unpreconditioned resid norm 4.461976108543e+01 true resid norm 7.867894425332e+01 ||r(i)||/||b|| 2.590020992340e-05</div><div class="gmail_extra">224 KSP unpreconditioned resid norm 3.535718264955e+01 true resid norm 7.609346753983e+01 ||r(i)||/||b|| 2.504910051583e-05</div><div class="gmail_extra">225 KSP unpreconditioned resid norm 3.525592897743e+01 true resid norm 7.926812413349e+01 ||r(i)||/||b|| 2.609416121143e-05</div><div class="gmail_extra">226 KSP unpreconditioned resid norm 2.633469451114e+01 true resid norm 7.883483297310e+01 ||r(i)||/||b|| 2.595152670968e-05</div><div class="gmail_extra">227 KSP unpreconditioned resid norm 2.614440577316e+01 true resid norm 7.398963634249e+01 ||r(i)||/||b|| 2.435654331172e-05</div><div class="gmail_extra">228 KSP unpreconditioned resid norm 1.988460252721e+01 true resid norm 7.147825835126e+01 ||r(i)||/||b|| 2.352982635730e-05</div><div class="gmail_extra">229 KSP unpreconditioned resid norm 1.975927240058e+01 true resid norm 7.488507147714e+01 ||r(i)||/||b|| 2.465131033205e-05</div><div class="gmail_extra">230 KSP unpreconditioned resid norm 1.505732242656e+01 true resid norm 7.888901529160e+01 ||r(i)||/||b|| 2.596936291016e-05</div><div class="gmail_extra">231 KSP unpreconditioned resid norm 1.504120870628e+01 true resid norm 7.126366562975e+01 ||r(i)||/||b|| 2.345918488406e-05</div><div class="gmail_extra">232 KSP unpreconditioned resid norm 1.163470506257e+01 true resid norm 7.142763663542e+01 ||r(i)||/||b|| 2.351316226655e-05</div><div class="gmail_extra">233 KSP unpreconditioned resid norm 1.157114340949e+01 true resid norm 7.464790352976e+01 ||r(i)||/||b|| 2.457323735226e-05</div><div class="gmail_extra">234 KSP unpreconditioned resid norm 8.702850618357e+00 true resid norm 7.798031063059e+01 ||r(i)||/||b|| 2.567022771329e-05</div><div class="gmail_extra">235 KSP unpreconditioned resid norm 8.702017371082e+00 true resid norm 7.032943782131e+01 ||r(i)||/||b|| 2.315164775854e-05</div><div class="gmail_extra">236 KSP unpreconditioned resid norm 6.422855779486e+00 true resid norm 6.800345168870e+01 ||r(i)||/||b|| 2.238595968678e-05</div><div class="gmail_extra">237 KSP unpreconditioned resid norm 6.413921210094e+00 true resid norm 7.408432731879e+01 ||r(i)||/||b|| 2.438771449973e-05</div><div class="gmail_extra">238 KSP unpreconditioned resid norm 4.949111361190e+00 true resid norm 7.744087979524e+01 ||r(i)||/||b|| 2.549265324267e-05</div><div class="gmail_extra">239 KSP unpreconditioned resid norm 4.947369357666e+00 true resid norm 7.104259266677e+01 ||r(i)||/||b|| 2.338641018933e-05</div><div class="gmail_extra">240 KSP unpreconditioned resid norm 3.873645232239e+00 true resid norm 6.908028336929e+01 ||r(i)||/||b|| 2.274044037845e-05</div><div class="gmail_extra">241 KSP unpreconditioned resid norm 3.841473653930e+00 true resid norm 7.431718972562e+01 ||r(i)||/||b|| 2.446437014474e-05</div><div class="gmail_extra">242 KSP unpreconditioned resid norm 3.057267436362e+00 true resid norm 7.685939322732e+01 ||r(i)||/||b|| 2.530123450517e-05</div><div class="gmail_extra">243 KSP unpreconditioned resid norm 2.980906717815e+00 true resid norm 6.975661521135e+01 ||r(i)||/||b|| 2.296308109705e-05</div><div class="gmail_extra">244 KSP unpreconditioned resid norm 2.415633545154e+00 true resid norm 6.989644258184e+01 ||r(i)||/||b|| 2.300911067057e-05</div><div class="gmail_extra">245 KSP unpreconditioned resid norm 2.363923146996e+00 true resid norm 7.486631867276e+01 ||r(i)||/||b|| 2.464513712301e-05</div><div class="gmail_extra">246 KSP unpreconditioned resid norm 1.947823635306e+00 true resid norm 7.671103669547e+01 ||r(i)||/||b|| 2.525239722914e-05</div><div class="gmail_extra">247 KSP unpreconditioned resid norm 1.942156637334e+00 true resid norm 6.835715877902e+01 ||r(i)||/||b|| 2.250239602152e-05</div><div class="gmail_extra">248 KSP unpreconditioned resid norm 1.675749569790e+00 true resid norm 7.111781390782e+01 ||r(i)||/||b|| 2.341117216285e-05</div><div class="gmail_extra">249 KSP unpreconditioned resid norm 1.673819729570e+00 true resid norm 7.552508026111e+01 ||r(i)||/||b|| 2.486199391474e-05</div><div class="gmail_extra">250 KSP unpreconditioned resid norm 1.453311843294e+00 true resid norm 7.639099426865e+01 ||r(i)||/||b|| 2.514704291716e-05</div><div class="gmail_extra">251 KSP unpreconditioned resid norm 1.452846325098e+00 true resid norm 6.951401359923e+01 ||r(i)||/||b|| 2.288321941689e-05</div><div class="gmail_extra">252 KSP unpreconditioned resid norm 1.335008887441e+00 true resid norm 6.912230871414e+01 ||r(i)||/||b|| 2.275427464204e-05</div><div class="gmail_extra">253 KSP unpreconditioned resid norm 1.334477013356e+00 true resid norm 7.412281497148e+01 ||r(i)||/||b|| 2.440038419546e-05</div><div class="gmail_extra">254 KSP unpreconditioned resid norm 1.248507835050e+00 true resid norm 7.801932499175e+01 ||r(i)||/||b|| 2.568307079543e-05</div><div class="gmail_extra">255 KSP unpreconditioned resid norm 1.248246596771e+00 true resid norm 7.094899926215e+01 ||r(i)||/||b|| 2.335560030938e-05</div><div class="gmail_extra">256 KSP unpreconditioned resid norm 1.208952722414e+00 true resid norm 7.101235824005e+01 ||r(i)||/||b|| 2.337645736134e-05</div><div class="gmail_extra">257 KSP unpreconditioned resid norm 1.208780664971e+00 true resid norm 7.562936418444e+01 ||r(i)||/||b|| 2.489632299136e-05</div><div class="gmail_extra">258 KSP unpreconditioned resid norm 1.179956701653e+00 true resid norm 7.812300941072e+01 ||r(i)||/||b|| 2.571720252207e-05</div><div class="gmail_extra">259 KSP unpreconditioned resid norm 1.179219541297e+00 true resid norm 7.131201918549e+01 ||r(i)||/||b|| 2.347510232240e-05</div><div class="gmail_extra">260 KSP unpreconditioned resid norm 1.160215487467e+00 true resid norm 7.222079766175e+01 ||r(i)||/||b|| 2.377426181841e-05</div><div class="gmail_extra">261 KSP unpreconditioned resid norm 1.159115040554e+00 true resid norm 7.481372509179e+01 ||r(i)||/||b|| 2.462782391678e-05</div><div class="gmail_extra">262 KSP unpreconditioned resid norm 1.151973184765e+00 true resid norm 7.709040836137e+01 ||r(i)||/||b|| 2.537728204907e-05</div><div class="gmail_extra">263 KSP unpreconditioned resid norm 1.150882463576e+00 true resid norm 7.032588895526e+01 ||r(i)||/||b|| 2.315047951236e-05</div><div class="gmail_extra">264 KSP unpreconditioned resid norm 1.137617003277e+00 true resid norm 7.004055871264e+01 ||r(i)||/||b|| 2.305655205500e-05</div><div class="gmail_extra">265 KSP unpreconditioned resid norm 1.137134003401e+00 true resid norm 7.610459827221e+01 ||r(i)||/||b|| 2.505276462582e-05</div><div class="gmail_extra">266 KSP unpreconditioned resid norm 1.131425778253e+00 true resid norm 7.852741072990e+01 ||r(i)||/||b|| 2.585032681802e-05</div><div class="gmail_extra">267 KSP unpreconditioned resid norm 1.131176695314e+00 true resid norm 7.064571495865e+01 ||r(i)||/||b|| 2.325576258022e-05</div><div class="gmail_extra">268 KSP unpreconditioned resid norm 1.125420065063e+00 true resid norm 7.138837220124e+01 ||r(i)||/||b|| 2.350023686323e-05</div><div class="gmail_extra">269 KSP unpreconditioned resid norm 1.124779989266e+00 true resid norm 7.585594020759e+01 ||r(i)||/||b|| 2.497090923065e-05</div><div class="gmail_extra">270 KSP unpreconditioned resid norm 1.119805446125e+00 true resid norm 7.703631305135e+01 ||r(i)||/||b|| 2.535947449079e-05</div><div class="gmail_extra">271 KSP unpreconditioned resid norm 1.119024433863e+00 true resid norm 7.081439585094e+01 ||r(i)||/||b|| 2.331129040360e-05</div><div class="gmail_extra">272 KSP unpreconditioned resid norm 1.115694452861e+00 true resid norm 7.134872343512e+01 ||r(i)||/||b|| 2.348718494222e-05</div><div class="gmail_extra">273 KSP unpreconditioned resid norm 1.113572716158e+00 true resid norm 7.600475566242e+01 ||r(i)||/||b|| 2.501989757889e-05</div><div class="gmail_extra">274 KSP unpreconditioned resid norm 1.108711406381e+00 true resid norm 7.738835220359e+01 ||r(i)||/||b|| 2.547536175937e-05</div><div class="gmail_extra">275 KSP unpreconditioned resid norm 1.107890435549e+00 true resid norm 7.093429729336e+01 ||r(i)||/||b|| 2.335076058915e-05</div><div class="gmail_extra">276 KSP unpreconditioned resid norm 1.103340227961e+00 true resid norm 7.145267197866e+01 ||r(i)||/||b|| 2.352140361564e-05</div><div class="gmail_extra">277 KSP unpreconditioned resid norm 1.102897652964e+00 true resid norm 7.448617654625e+01 ||r(i)||/||b|| 2.451999867624e-05</div><div class="gmail_extra">278 KSP unpreconditioned resid norm 1.102576754158e+00 true resid norm 7.707165090465e+01 ||r(i)||/||b|| 2.537110730854e-05</div><div class="gmail_extra">279 KSP unpreconditioned resid norm 1.102564028537e+00 true resid norm 7.009637628868e+01 ||r(i)||/||b|| 2.307492656359e-05</div><div class="gmail_extra">280 KSP unpreconditioned resid norm 1.100828424712e+00 true resid norm 7.059832880916e+01 ||r(i)||/||b|| 2.324016360096e-05</div><div class="gmail_extra">281 KSP unpreconditioned resid norm 1.100686341559e+00 true resid norm 7.460867988528e+01 ||r(i)||/||b|| 2.456032537644e-05</div><div class="gmail_extra">282 KSP unpreconditioned resid norm 1.099417185996e+00 true resid norm 7.763784632467e+01 ||r(i)||/||b|| 2.555749237477e-05</div><div class="gmail_extra">283 KSP unpreconditioned resid norm 1.099379061087e+00 true resid norm 7.017139420999e+01 ||r(i)||/||b|| 2.309962160657e-05</div><div class="gmail_extra">284 KSP unpreconditioned resid norm 1.097928047676e+00 true resid norm 6.983706716123e+01 ||r(i)||/||b|| 2.298956496018e-05</div><div class="gmail_extra">285 KSP unpreconditioned resid norm 1.096490152934e+00 true resid norm 7.414445779601e+01 ||r(i)||/||b|| 2.440750876614e-05</div><div class="gmail_extra">286 KSP unpreconditioned resid norm 1.094691490227e+00 true resid norm 7.634526287231e+01 ||r(i)||/||b|| 2.513198866374e-05</div><div class="gmail_extra">287 KSP unpreconditioned resid norm 1.093560358328e+00 true resid norm 7.003716824146e+01 ||r(i)||/||b|| 2.305543595061e-05</div><div class="gmail_extra">288 KSP unpreconditioned resid norm 1.093357856424e+00 true resid norm 6.964715939684e+01 ||r(i)||/||b|| 2.292704949292e-05</div><div class="gmail_extra">289 KSP unpreconditioned resid norm 1.091881434739e+00 true resid norm 7.429955169250e+01 ||r(i)||/||b|| 2.445856390566e-05</div><div class="gmail_extra">290 KSP unpreconditioned resid norm 1.091817808496e+00 true resid norm 7.607892786798e+01 ||r(i)||/||b|| 2.504431422190e-05</div><div class="gmail_extra">291 KSP unpreconditioned resid norm 1.090295101202e+00 true resid norm 6.942248339413e+01 ||r(i)||/||b|| 2.285308871866e-05</div><div class="gmail_extra">292 KSP unpreconditioned resid norm 1.089995012773e+00 true resid norm 6.995557798353e+01 ||r(i)||/||b|| 2.302857736947e-05</div><div class="gmail_extra">293 KSP unpreconditioned resid norm 1.089975910578e+00 true resid norm 7.453210925277e+01 ||r(i)||/||b|| 2.453511919866e-05</div><div class="gmail_extra">294 KSP unpreconditioned resid norm 1.085570944646e+00 true resid norm 7.629598425927e+01 ||r(i)||/||b|| 2.511576670710e-05</div><div class="gmail_extra">295 KSP unpreconditioned resid norm 1.085363565621e+00 true resid norm 7.025539955712e+01 ||r(i)||/||b|| 2.312727520749e-05</div><div class="gmail_extra">296 KSP unpreconditioned resid norm 1.083348574106e+00 true resid norm 7.003219621882e+01 ||r(i)||/||b|| 2.305379921754e-05</div><div class="gmail_extra">297 KSP unpreconditioned resid norm 1.082180374430e+00 true resid norm 7.473048827106e+01 ||r(i)||/||b|| 2.460042330597e-05</div><div class="gmail_extra">298 KSP unpreconditioned resid norm 1.081326671068e+00 true resid norm 7.660142838935e+01 ||r(i)||/||b|| 2.521631542651e-05</div><div class="gmail_extra">299 KSP unpreconditioned resid norm 1.078679751898e+00 true resid norm 7.077868424247e+01 ||r(i)||/||b|| 2.329953454992e-05</div><div class="gmail_extra">300 KSP unpreconditioned resid norm 1.078656949888e+00 true resid norm 7.074960394994e+01 ||r(i)||/||b|| 2.328996164972e-05</div><div class="gmail_extra">Linear solve did not converge due to DIVERGED_ITS iterations 300</div><div class="gmail_extra">KSP Object: 2 MPI processes</div><div class="gmail_extra"> type: fgmres</div><div class="gmail_extra"> GMRES: restart=300, using Modified Gram-Schmidt Orthogonalization</div><div class="gmail_extra"> GMRES: happy breakdown tolerance 1e-30</div><div class="gmail_extra"> maximum iterations=300, initial guess is zero</div><div class="gmail_extra"> tolerances: relative=1e-09, absolute=1e-20, divergence=10000</div><div class="gmail_extra"> right preconditioning</div><div class="gmail_extra"> using UNPRECONDITIONED norm type for convergence test</div><div class="gmail_extra">PC Object: 2 MPI processes</div><div class="gmail_extra"> type: fieldsplit</div><div class="gmail_extra"> FieldSplit with Schur preconditioner, factorization DIAG</div><div class="gmail_extra"> Preconditioner for the Schur complement formed from Sp, an assembled approximation to S, which uses (lumped, if requested) A00's diagonal's inverse</div><div class="gmail_extra"> Split info:</div><div class="gmail_extra"> Split number 0 Defined by IS</div><div class="gmail_extra"> Split number 1 Defined by IS</div><div class="gmail_extra"> KSP solver for A00 block</div><div class="gmail_extra"> KSP Object: (fieldsplit_u_) 2 MPI processes</div><div class="gmail_extra"> type: preonly</div><div class="gmail_extra"> maximum iterations=10000, initial guess is zero</div><div class="gmail_extra"> tolerances: relative=1e-05, absolute=1e-50, divergence=10000</div><div class="gmail_extra"> left preconditioning</div><div class="gmail_extra"> using NONE norm type for convergence test</div><div class="gmail_extra"> PC Object: (fieldsplit_u_) 2 MPI processes</div><div class="gmail_extra"> type: lu</div><div class="gmail_extra"> LU: out-of-place factorization</div><div class="gmail_extra"> tolerance for zero pivot 2.22045e-14</div><div class="gmail_extra"> matrix ordering: natural</div><div class="gmail_extra"> factor fill ratio given 0, needed 0</div><div class="gmail_extra"> Factored matrix follows:</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=184326, cols=184326</div><div class="gmail_extra"> package used to perform factorization: mumps</div><div class="gmail_extra"> total: nonzeros=4.03041e+08, allocated nonzeros=4.03041e+08</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> MUMPS run parameters:</div><div class="gmail_extra"> SYM (matrix type): 0 </div><div class="gmail_extra"> PAR (host participation): 1 </div><div class="gmail_extra"> ICNTL(1) (output for error): 6 </div><div class="gmail_extra"> ICNTL(2) (output of diagnostic msg): 0 </div><div class="gmail_extra"> ICNTL(3) (output for global info): 0 </div><div class="gmail_extra"> ICNTL(4) (level of printing): 0 </div><div class="gmail_extra"> ICNTL(5) (input mat struct): 0 </div><div class="gmail_extra"> ICNTL(6) (matrix prescaling): 7 </div><div class="gmail_extra"> ICNTL(7) (sequentia matrix ordering):7 </div><div class="gmail_extra"> ICNTL(8) (scalling strategy): 77 </div><div class="gmail_extra"> ICNTL(10) (max num of refinements): 0 </div><div class="gmail_extra"> ICNTL(11) (error analysis): 0 </div><div class="gmail_extra"> ICNTL(12) (efficiency control): 1 </div><div class="gmail_extra"> ICNTL(13) (efficiency control): 0 </div><div class="gmail_extra"> ICNTL(14) (percentage of estimated workspace increase): 20 </div><div class="gmail_extra"> ICNTL(18) (input mat struct): 3 </div><div class="gmail_extra"> ICNTL(19) (Shur complement info): 0 </div><div class="gmail_extra"> ICNTL(20) (rhs sparse pattern): 0 </div><div class="gmail_extra"> ICNTL(21) (solution struct): 1 </div><div class="gmail_extra"> ICNTL(22) (in-core/out-of-core facility): 0 </div><div class="gmail_extra"> ICNTL(23) (max size of memory can be allocated locally):0 </div><div class="gmail_extra"> ICNTL(24) (detection of null pivot rows): 0 </div><div class="gmail_extra"> ICNTL(25) (computation of a null space basis): 0 </div><div class="gmail_extra"> ICNTL(26) (Schur options for rhs or solution): 0 </div><div class="gmail_extra"> ICNTL(27) (experimental parameter): -24 </div><div class="gmail_extra"> ICNTL(28) (use parallel or sequential ordering): 1 </div><div class="gmail_extra"> ICNTL(29) (parallel ordering): 0 </div><div class="gmail_extra"> ICNTL(30) (user-specified set of entries in inv(A)): 0 </div><div class="gmail_extra"> ICNTL(31) (factors is discarded in the solve phase): 0 </div><div class="gmail_extra"> ICNTL(33) (compute determinant): 0 </div><div class="gmail_extra"> CNTL(1) (relative pivoting threshold): 0.01 </div><div class="gmail_extra"> CNTL(2) (stopping criterion of refinement): 1.49012e-08 </div><div class="gmail_extra"> CNTL(3) (absolute pivoting threshold): 0 </div><div class="gmail_extra"> CNTL(4) (value of static pivoting): -1 </div><div class="gmail_extra"> CNTL(5) (fixation for null pivots): 0 </div><div class="gmail_extra"> RINFO(1) (local estimated flops for the elimination after analysis): </div><div class="gmail_extra"> [0] 5.59214e+11 </div><div class="gmail_extra"> [1] 5.35237e+11 </div><div class="gmail_extra"> RINFO(2) (local estimated flops for the assembly after factorization): </div><div class="gmail_extra"> [0] 4.2839e+08 </div><div class="gmail_extra"> [1] 3.799e+08 </div><div class="gmail_extra"> RINFO(3) (local estimated flops for the elimination after factorization): </div><div class="gmail_extra"> [0] 5.59214e+11 </div><div class="gmail_extra"> [1] 5.35237e+11 </div><div class="gmail_extra"> INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): </div><div class="gmail_extra"> [0] 2621 </div><div class="gmail_extra"> [1] 2649 </div><div class="gmail_extra"> INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): </div><div class="gmail_extra"> [0] 2621 </div><div class="gmail_extra"> [1] 2649 </div><div class="gmail_extra"> INFO(23) (num of pivots eliminated on this processor after factorization): </div><div class="gmail_extra"> [0] 90423 </div><div class="gmail_extra"> [1] 93903 </div><div class="gmail_extra"> RINFOG(1) (global estimated flops for the elimination after analysis): 1.09445e+12 </div><div class="gmail_extra"> RINFOG(2) (global estimated flops for the assembly after factorization): 8.0829e+08 </div><div class="gmail_extra"> RINFOG(3) (global estimated flops for the elimination after factorization): 1.09445e+12 </div><div class="gmail_extra"> (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): (0,0)*(2^0)</div><div class="gmail_extra"> INFOG(3) (estimated real workspace for factors on all processors after analysis): 403041366 </div><div class="gmail_extra"> INFOG(4) (estimated integer workspace for factors on all processors after analysis): 2265748 </div><div class="gmail_extra"> INFOG(5) (estimated maximum front size in the complete tree): 6663 </div><div class="gmail_extra"> INFOG(6) (number of nodes in the complete tree): 2812 </div><div class="gmail_extra"> INFOG(7) (ordering option effectively use after analysis): 5 </div><div class="gmail_extra"> INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): 100 </div><div class="gmail_extra"> INFOG(9) (total real/complex workspace to store the matrix factors after factorization): 403041366 </div><div class="gmail_extra"> INFOG(10) (total integer space store the matrix factors after factorization): 2265766 </div><div class="gmail_extra"> INFOG(11) (order of largest frontal matrix after factorization): 6663 </div><div class="gmail_extra"> INFOG(12) (number of off-diagonal pivots): 0 </div><div class="gmail_extra"> INFOG(13) (number of delayed pivots after factorization): 0 </div><div class="gmail_extra"> INFOG(14) (number of memory compress after factorization): 0 </div><div class="gmail_extra"> INFOG(15) (number of steps of iterative refinement after solution): 0 </div><div class="gmail_extra"> INFOG(16) (estimated size (in MB) of all MUMPS internal data for factorization after analysis: value on the most memory consuming processor): 2649 </div><div class="gmail_extra"> INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): 5270 </div><div class="gmail_extra"> INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): 2649 </div><div class="gmail_extra"> INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): 5270 </div><div class="gmail_extra"> INFOG(20) (estimated number of entries in the factors): 403041366 </div><div class="gmail_extra"> INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): 2121 </div><div class="gmail_extra"> INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): 4174 </div><div class="gmail_extra"> INFOG(23) (after analysis: value of ICNTL(6) effectively used): 0 </div><div class="gmail_extra"> INFOG(24) (after analysis: value of ICNTL(12) effectively used): 1 </div><div class="gmail_extra"> INFOG(25) (after factorization: number of pivots modified by static pivoting): 0 </div><div class="gmail_extra"> INFOG(28) (after factorization: number of null pivots encountered): 0</div><div class="gmail_extra"> INFOG(29) (after factorization: effective number of entries in the factors (sum over all processors)): 403041366</div><div class="gmail_extra"> INFOG(30, 31) (after solution: size in Mbytes of memory used during solution phase): 2467, 4922</div><div class="gmail_extra"> INFOG(32) (after analysis: type of analysis done): 1</div><div class="gmail_extra"> INFOG(33) (value used for ICNTL(8)): 7</div><div class="gmail_extra"> INFOG(34) (exponent of the determinant if determinant is requested): 0</div><div class="gmail_extra"> linear system matrix = precond matrix:</div><div class="gmail_extra"> Mat Object: (fieldsplit_u_) 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=184326, cols=184326, bs=3</div><div class="gmail_extra"> total: nonzeros=3.32649e+07, allocated nonzeros=3.32649e+07</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> using I-node (on process 0) routines: found 26829 nodes, limit used is 5</div><div class="gmail_extra"> KSP solver for S = A11 - A10 inv(A00) A01 </div><div class="gmail_extra"> KSP Object: (fieldsplit_lu_) 2 MPI processes</div><div class="gmail_extra"> type: preonly</div><div class="gmail_extra"> maximum iterations=10000, initial guess is zero</div><div class="gmail_extra"> tolerances: relative=1e-05, absolute=1e-50, divergence=10000</div><div class="gmail_extra"> left preconditioning</div><div class="gmail_extra"> using NONE norm type for convergence test</div><div class="gmail_extra"> PC Object: (fieldsplit_lu_) 2 MPI processes</div><div class="gmail_extra"> type: lu</div><div class="gmail_extra"> LU: out-of-place factorization</div><div class="gmail_extra"> tolerance for zero pivot 2.22045e-14</div><div class="gmail_extra"> matrix ordering: natural</div><div class="gmail_extra"> factor fill ratio given 0, needed 0</div><div class="gmail_extra"> Factored matrix follows:</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=2583, cols=2583</div><div class="gmail_extra"> package used to perform factorization: mumps</div><div class="gmail_extra"> total: nonzeros=2.17621e+06, allocated nonzeros=2.17621e+06</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> MUMPS run parameters:</div><div class="gmail_extra"> SYM (matrix type): 0 </div><div class="gmail_extra"> PAR (host participation): 1 </div><div class="gmail_extra"> ICNTL(1) (output for error): 6 </div><div class="gmail_extra"> ICNTL(2) (output of diagnostic msg): 0 </div><div class="gmail_extra"> ICNTL(3) (output for global info): 0 </div><div class="gmail_extra"> ICNTL(4) (level of printing): 0 </div><div class="gmail_extra"> ICNTL(5) (input mat struct): 0 </div><div class="gmail_extra"> ICNTL(6) (matrix prescaling): 7 </div><div class="gmail_extra"> ICNTL(7) (sequentia matrix ordering):7 </div><div class="gmail_extra"> ICNTL(8) (scalling strategy): 77 </div><div class="gmail_extra"> ICNTL(10) (max num of refinements): 0 </div><div class="gmail_extra"> ICNTL(11) (error analysis): 0 </div><div class="gmail_extra"> ICNTL(12) (efficiency control): 1 </div><div class="gmail_extra"> ICNTL(13) (efficiency control): 0 </div><div class="gmail_extra"> ICNTL(14) (percentage of estimated workspace increase): 20 </div><div class="gmail_extra"> ICNTL(18) (input mat struct): 3 </div><div class="gmail_extra"> ICNTL(19) (Shur complement info): 0 </div><div class="gmail_extra"> ICNTL(20) (rhs sparse pattern): 0 </div><div class="gmail_extra"> ICNTL(21) (solution struct): 1 </div><div class="gmail_extra"> ICNTL(22) (in-core/out-of-core facility): 0 </div><div class="gmail_extra"> ICNTL(23) (max size of memory can be allocated locally):0 </div><div class="gmail_extra"> ICNTL(24) (detection of null pivot rows): 0 </div><div class="gmail_extra"> ICNTL(25) (computation of a null space basis): 0 </div><div class="gmail_extra"> ICNTL(26) (Schur options for rhs or solution): 0 </div><div class="gmail_extra"> ICNTL(27) (experimental parameter): -24 </div><div class="gmail_extra"> ICNTL(28) (use parallel or sequential ordering): 1 </div><div class="gmail_extra"> ICNTL(29) (parallel ordering): 0 </div><div class="gmail_extra"> ICNTL(30) (user-specified set of entries in inv(A)): 0 </div><div class="gmail_extra"> ICNTL(31) (factors is discarded in the solve phase): 0 </div><div class="gmail_extra"> ICNTL(33) (compute determinant): 0 </div><div class="gmail_extra"> CNTL(1) (relative pivoting threshold): 0.01 </div><div class="gmail_extra"> CNTL(2) (stopping criterion of refinement): 1.49012e-08 </div><div class="gmail_extra"> CNTL(3) (absolute pivoting threshold): 0 </div><div class="gmail_extra"> CNTL(4) (value of static pivoting): -1 </div><div class="gmail_extra"> CNTL(5) (fixation for null pivots): 0 </div><div class="gmail_extra"> RINFO(1) (local estimated flops for the elimination after analysis): </div><div class="gmail_extra"> [0] 5.12794e+08 </div><div class="gmail_extra"> [1] 5.02142e+08 </div><div class="gmail_extra"> RINFO(2) (local estimated flops for the assembly after factorization): </div><div class="gmail_extra"> [0] 815031 </div><div class="gmail_extra"> [1] 745263 </div><div class="gmail_extra"> RINFO(3) (local estimated flops for the elimination after factorization): </div><div class="gmail_extra"> [0] 5.12794e+08 </div><div class="gmail_extra"> [1] 5.02142e+08 </div><div class="gmail_extra"> INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): </div><div class="gmail_extra"> [0] 34 </div><div class="gmail_extra"> [1] 34 </div><div class="gmail_extra"> INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): </div><div class="gmail_extra"> [0] 34 </div><div class="gmail_extra"> [1] 34 </div><div class="gmail_extra"> INFO(23) (num of pivots eliminated on this processor after factorization): </div><div class="gmail_extra"> [0] 1158 </div><div class="gmail_extra"> [1] 1425 </div><div class="gmail_extra"> RINFOG(1) (global estimated flops for the elimination after analysis): 1.01494e+09 </div><div class="gmail_extra"> RINFOG(2) (global estimated flops for the assembly after factorization): 1.56029e+06 </div><div class="gmail_extra"> RINFOG(3) (global estimated flops for the elimination after factorization): 1.01494e+09 </div><div class="gmail_extra"> (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): (0,0)*(2^0)</div><div class="gmail_extra"> INFOG(3) (estimated real workspace for factors on all processors after analysis): 2176209 </div><div class="gmail_extra"> INFOG(4) (estimated integer workspace for factors on all processors after analysis): 14427 </div><div class="gmail_extra"> INFOG(5) (estimated maximum front size in the complete tree): 699 </div><div class="gmail_extra"> INFOG(6) (number of nodes in the complete tree): 15 </div><div class="gmail_extra"> INFOG(7) (ordering option effectively use after analysis): 2 </div><div class="gmail_extra"> INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): 100 </div><div class="gmail_extra"> INFOG(9) (total real/complex workspace to store the matrix factors after factorization): 2176209 </div><div class="gmail_extra"> INFOG(10) (total integer space store the matrix factors after factorization): 14427 </div><div class="gmail_extra"> INFOG(11) (order of largest frontal matrix after factorization): 699 </div><div class="gmail_extra"> INFOG(12) (number of off-diagonal pivots): 0 </div><div class="gmail_extra"> INFOG(13) (number of delayed pivots after factorization): 0 </div><div class="gmail_extra"> INFOG(14) (number of memory compress after factorization): 0 </div><div class="gmail_extra"> INFOG(15) (number of steps of iterative refinement after solution): 0 </div><div class="gmail_extra"> INFOG(16) (estimated size (in MB) of all MUMPS internal data for factorization after analysis: value on the most memory consuming processor): 34 </div><div class="gmail_extra"> INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): 68 </div><div class="gmail_extra"> INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): 34 </div><div class="gmail_extra"> INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): 68 </div><div class="gmail_extra"> INFOG(20) (estimated number of entries in the factors): 2176209 </div><div class="gmail_extra"> INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): 30 </div><div class="gmail_extra"> INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): 59 </div><div class="gmail_extra"> INFOG(23) (after analysis: value of ICNTL(6) effectively used): 0 </div><div class="gmail_extra"> INFOG(24) (after analysis: value of ICNTL(12) effectively used): 1 </div><div class="gmail_extra"> INFOG(25) (after factorization: number of pivots modified by static pivoting): 0 </div><div class="gmail_extra"> INFOG(28) (after factorization: number of null pivots encountered): 0</div><div class="gmail_extra"> INFOG(29) (after factorization: effective number of entries in the factors (sum over all processors)): 2176209</div><div class="gmail_extra"> INFOG(30, 31) (after solution: size in Mbytes of memory used during solution phase): 16, 32</div><div class="gmail_extra"> INFOG(32) (after analysis: type of analysis done): 1</div><div class="gmail_extra"> INFOG(33) (value used for ICNTL(8)): 7</div><div class="gmail_extra"> INFOG(34) (exponent of the determinant if determinant is requested): 0</div><div class="gmail_extra"> linear system matrix followed by preconditioner matrix:</div><div class="gmail_extra"> Mat Object: (fieldsplit_lu_) 2 MPI processes</div><div class="gmail_extra"> type: schurcomplement</div><div class="gmail_extra"> rows=2583, cols=2583</div><div class="gmail_extra"> Schur complement A11 - A10 inv(A00) A01</div><div class="gmail_extra"> A11</div><div class="gmail_extra"> Mat Object: (fieldsplit_lu_) 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=2583, cols=2583, bs=3</div><div class="gmail_extra"> total: nonzeros=117369, allocated nonzeros=117369</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> not using I-node (on process 0) routines</div><div class="gmail_extra"> A10</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=2583, cols=184326, rbs=3, cbs = 1</div><div class="gmail_extra"> total: nonzeros=292770, allocated nonzeros=292770</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> not using I-node (on process 0) routines</div><div class="gmail_extra"> KSP of A00</div><div class="gmail_extra"> KSP Object: (fieldsplit_u_) 2 MPI processes</div><div class="gmail_extra"> type: preonly</div><div class="gmail_extra"> maximum iterations=10000, initial guess is zero</div><div class="gmail_extra"> tolerances: relative=1e-05, absolute=1e-50, divergence=10000</div><div class="gmail_extra"> left preconditioning</div><div class="gmail_extra"> using NONE norm type for convergence test</div><div class="gmail_extra"> PC Object: (fieldsplit_u_) 2 MPI processes</div><div class="gmail_extra"> type: lu</div><div class="gmail_extra"> LU: out-of-place factorization</div><div class="gmail_extra"> tolerance for zero pivot 2.22045e-14</div><div class="gmail_extra"> matrix ordering: natural</div><div class="gmail_extra"> factor fill ratio given 0, needed 0</div><div class="gmail_extra"> Factored matrix follows:</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=184326, cols=184326</div><div class="gmail_extra"> package used to perform factorization: mumps</div><div class="gmail_extra"> total: nonzeros=4.03041e+08, allocated nonzeros=4.03041e+08</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> MUMPS run parameters:</div><div class="gmail_extra"> SYM (matrix type): 0 </div><div class="gmail_extra"> PAR (host participation): 1 </div><div class="gmail_extra"> ICNTL(1) (output for error): 6 </div><div class="gmail_extra"> ICNTL(2) (output of diagnostic msg): 0 </div><div class="gmail_extra"> ICNTL(3) (output for global info): 0 </div><div class="gmail_extra"> ICNTL(4) (level of printing): 0 </div><div class="gmail_extra"> ICNTL(5) (input mat struct): 0 </div><div class="gmail_extra"> ICNTL(6) (matrix prescaling): 7 </div><div class="gmail_extra"> ICNTL(7) (sequentia matrix ordering):7 </div><div class="gmail_extra"> ICNTL(8) (scalling strategy): 77 </div><div class="gmail_extra"> ICNTL(10) (max num of refinements): 0 </div><div class="gmail_extra"> ICNTL(11) (error analysis): 0 </div><div class="gmail_extra"> ICNTL(12) (efficiency control): 1 </div><div class="gmail_extra"> ICNTL(13) (efficiency control): 0 </div><div class="gmail_extra"> ICNTL(14) (percentage of estimated workspace increase): 20 </div><div class="gmail_extra"> ICNTL(18) (input mat struct): 3 </div><div class="gmail_extra"> ICNTL(19) (Shur complement info): 0 </div><div class="gmail_extra"> ICNTL(20) (rhs sparse pattern): 0 </div><div class="gmail_extra"> ICNTL(21) (solution struct): 1 </div><div class="gmail_extra"> ICNTL(22) (in-core/out-of-core facility): 0 </div><div class="gmail_extra"> ICNTL(23) (max size of memory can be allocated locally):0 </div><div class="gmail_extra"> ICNTL(24) (detection of null pivot rows): 0 </div><div class="gmail_extra"> ICNTL(25) (computation of a null space basis): 0 </div><div class="gmail_extra"> ICNTL(26) (Schur options for rhs or solution): 0 </div><div class="gmail_extra"> ICNTL(27) (experimental parameter): -24 </div><div class="gmail_extra"> ICNTL(28) (use parallel or sequential ordering): 1 </div><div class="gmail_extra"> ICNTL(29) (parallel ordering): 0 </div><div class="gmail_extra"> ICNTL(30) (user-specified set of entries in inv(A)): 0 </div><div class="gmail_extra"> ICNTL(31) (factors is discarded in the solve phase): 0 </div><div class="gmail_extra"> ICNTL(33) (compute determinant): 0 </div><div class="gmail_extra"> CNTL(1) (relative pivoting threshold): 0.01 </div><div class="gmail_extra"> CNTL(2) (stopping criterion of refinement): 1.49012e-08 </div><div class="gmail_extra"> CNTL(3) (absolute pivoting threshold): 0 </div><div class="gmail_extra"> CNTL(4) (value of static pivoting): -1 </div><div class="gmail_extra"> CNTL(5) (fixation for null pivots): 0 </div><div class="gmail_extra"> RINFO(1) (local estimated flops for the elimination after analysis): </div><div class="gmail_extra"> [0] 5.59214e+11 </div><div class="gmail_extra"> [1] 5.35237e+11 </div><div class="gmail_extra"> RINFO(2) (local estimated flops for the assembly after factorization): </div><div class="gmail_extra"> [0] 4.2839e+08 </div><div class="gmail_extra"> [1] 3.799e+08 </div><div class="gmail_extra"> RINFO(3) (local estimated flops for the elimination after factorization): </div><div class="gmail_extra"> [0] 5.59214e+11 </div><div class="gmail_extra"> [1] 5.35237e+11 </div><div class="gmail_extra"> INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): </div><div class="gmail_extra"> [0] 2621 </div><div class="gmail_extra"> [1] 2649 </div><div class="gmail_extra"> INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): </div><div class="gmail_extra"> [0] 2621 </div><div class="gmail_extra"> [1] 2649 </div><div class="gmail_extra"> INFO(23) (num of pivots eliminated on this processor after factorization): </div><div class="gmail_extra"> [0] 90423 </div><div class="gmail_extra"> [1] 93903 </div><div class="gmail_extra"> RINFOG(1) (global estimated flops for the elimination after analysis): 1.09445e+12 </div><div class="gmail_extra"> RINFOG(2) (global estimated flops for the assembly after factorization): 8.0829e+08 </div><div class="gmail_extra"> RINFOG(3) (global estimated flops for the elimination after factorization): 1.09445e+12 </div><div class="gmail_extra"> (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): (0,0)*(2^0)</div><div class="gmail_extra"> INFOG(3) (estimated real workspace for factors on all processors after analysis): 403041366 </div><div class="gmail_extra"> INFOG(4) (estimated integer workspace for factors on all processors after analysis): 2265748 </div><div class="gmail_extra"> INFOG(5) (estimated maximum front size in the complete tree): 6663 </div><div class="gmail_extra"> INFOG(6) (number of nodes in the complete tree): 2812 </div><div class="gmail_extra"> INFOG(7) (ordering option effectively use after analysis): 5 </div><div class="gmail_extra"> INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): 100 </div><div class="gmail_extra"> INFOG(9) (total real/complex workspace to store the matrix factors after factorization): 403041366 </div><div class="gmail_extra"> INFOG(10) (total integer space store the matrix factors after factorization): 2265766 </div><div class="gmail_extra"> INFOG(11) (order of largest frontal matrix after factorization): 6663 </div><div class="gmail_extra"> INFOG(12) (number of off-diagonal pivots): 0 </div><div class="gmail_extra"> INFOG(13) (number of delayed pivots after factorization): 0 </div><div class="gmail_extra"> INFOG(14) (number of memory compress after factorization): 0 </div><div class="gmail_extra"> INFOG(15) (number of steps of iterative refinement after solution): 0 </div><div class="gmail_extra"> INFOG(16) (estimated size (in MB) of all MUMPS internal data for factorization after analysis: value on the most memory consuming processor): 2649 </div><div class="gmail_extra"> INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): 5270 </div><div class="gmail_extra"> INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): 2649 </div><div class="gmail_extra"> INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): 5270 </div><div class="gmail_extra"> INFOG(20) (estimated number of entries in the factors): 403041366 </div><div class="gmail_extra"> INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): 2121 </div><div class="gmail_extra"> INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): 4174 </div><div class="gmail_extra"> INFOG(23) (after analysis: value of ICNTL(6) effectively used): 0 </div><div class="gmail_extra"> INFOG(24) (after analysis: value of ICNTL(12) effectively used): 1 </div><div class="gmail_extra"> INFOG(25) (after factorization: number of pivots modified by static pivoting): 0 </div><div class="gmail_extra"> INFOG(28) (after factorization: number of null pivots encountered): 0</div><div class="gmail_extra"> INFOG(29) (after factorization: effective number of entries in the factors (sum over all processors)): 403041366</div><div class="gmail_extra"> INFOG(30, 31) (after solution: size in Mbytes of memory used during solution phase): 2467, 4922</div><div class="gmail_extra"> INFOG(32) (after analysis: type of analysis done): 1</div><div class="gmail_extra"> INFOG(33) (value used for ICNTL(8)): 7</div><div class="gmail_extra"> INFOG(34) (exponent of the determinant if determinant is requested): 0</div><div class="gmail_extra"> linear system matrix = precond matrix:</div><div class="gmail_extra"> Mat Object: (fieldsplit_u_) 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=184326, cols=184326, bs=3</div><div class="gmail_extra"> total: nonzeros=3.32649e+07, allocated nonzeros=3.32649e+07</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> using I-node (on process 0) routines: found 26829 nodes, limit used is 5</div><div class="gmail_extra"> A01</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=184326, cols=2583, rbs=3, cbs = 1</div><div class="gmail_extra"> total: nonzeros=292770, allocated nonzeros=292770</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> using I-node (on process 0) routines: found 16098 nodes, limit used is 5</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=2583, cols=2583, rbs=3, cbs = 1</div><div class="gmail_extra"> total: nonzeros=1.25158e+06, allocated nonzeros=1.25158e+06</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> not using I-node (on process 0) routines</div><div class="gmail_extra"> linear system matrix = precond matrix:</div><div class="gmail_extra"> Mat Object: 2 MPI processes</div><div class="gmail_extra"> type: mpiaij</div><div class="gmail_extra"> rows=186909, cols=186909</div><div class="gmail_extra"> total: nonzeros=3.39678e+07, allocated nonzeros=3.39678e+07</div><div class="gmail_extra"> total number of mallocs used during MatSetValues calls =0</div><div class="gmail_extra"> using I-node (on process 0) routines: found 26829 nodes, limit used is 5</div><div class="gmail_extra">KSPSolve completed</div></div></div><div class="gmail_extra"><br></div><div class="gmail_extra"><br clear="all"><div><div class="gmail_signature"><div dir="ltr">Giang</div></div></div>
<br><div class="gmail_quote">On Sun, Apr 17, 2016 at 1:15 AM, Matthew Knepley <span dir="ltr"><<a href="mailto:knepley@gmail.com" target="_blank">knepley@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><span class="">On Sat, Apr 16, 2016 at 6:54 PM, Hoang Giang Bui <span dir="ltr"><<a href="mailto:hgbk2008@gmail.com" target="_blank">hgbk2008@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr">Hello<div><br></div><div>I'm solving an indefinite problem arising from mesh tying/contact using Lagrange multiplier, the matrix has the form</div><div><br></div><div>K = [A P^T</div><div> P 0]</div><div><br></div><div>I used the FIELDSPLIT preconditioner with one field is the main variable (displacement) and the other field for dual variable (Lagrange multiplier). The block size for each field is 3. According to the manual, I first chose the preconditioner based on Schur complement to treat this problem.</div></div></blockquote><div><br></div></span><div></div></div></div></div></blockquote><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><div>For any solver question, please send us the output of</div><div><br></div><div> -ksp_view -ksp_monitor_true_residual -ksp_converged_reason</div><div><br></div></div></div></div></blockquote><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><div></div><div>However, I will comment below</div><span class=""><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div>The parameters used for the solve is</div><div><div>-ksp_type gmres</div></div></div></blockquote><div><br></div></span><div>You need 'fgmres' here with the options you have below.</div><span class=""><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div><div>-ksp_max_it 300</div><div>-ksp_gmres_restart 300</div><div>-ksp_gmres_modifiedgramschmidt</div><div>-pc_fieldsplit_type schur<br></div><div>-pc_fieldsplit_schur_fact_type diag</div><div>-pc_fieldsplit_schur_precondition selfp</div></div></div></blockquote><div><br></div></span></div></div></div></blockquote><div><br></div><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><span class=""><div></div></span><div>It could be taking time in the MatMatMult() here if that matrix is dense. Is there any reason to</div><div>believe that is a good preconditioner for your problem?</div><div></div></div></div></div></blockquote><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div class="gmail_extra"><div class="gmail_quote"><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div><div>-pc_fieldsplit_detect_saddle_point</div><div>-fieldsplit_u_pc_type hypre</div></div></div></blockquote><div><br></div><div>I would just use MUMPS here to start, especially if it works on the whole problem. Same with the one below.</div><div><br></div><div> Matt</div><span class=""><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"><div dir="ltr"><div><div>-fieldsplit_u_pc_hypre_type boomeramg</div><div>-fieldsplit_u_pc_hypre_boomeramg_coarsen_type PMIS</div><div>-fieldsplit_lu_pc_type hypre</div><div>-fieldsplit_lu_pc_hypre_type boomeramg</div><div>-fieldsplit_lu_pc_hypre_boomeramg_coarsen_type PMIS</div></div><div><br></div><div>For the test case, a small problem is solved on 2 processes. Due to the decomposition, the contact only happens in 1 proc, so the size of Lagrange multiplier dofs on proc 0 is 0.</div><div><br></div><div><div>0: mIndexU.size(): 80490</div><div>0: mIndexLU.size(): 0</div><div>1: mIndexU.size(): 103836</div><div>1: mIndexLU.size(): 2583</div></div><div><br></div><div>However, with this setup the solver takes very long at KSPSolve before going to iteration, and the first iteration seems forever so I have to stop the calculation. I guessed that the solver takes time to compute the Schur complement, but according to the manual only the diagonal of A is used to approximate the Schur complement, so it should not take long to compute this.</div><div><br></div><div>Note that I ran the same problem with direct solver (MUMPS) and it's able to produce the valid results. The parameter for the solve is pretty standard</div><div><div>-ksp_type preonly</div><div>-pc_type lu</div><div>-pc_factor_mat_solver_package mumps</div></div><div><br></div><div>Hence the matrix/rhs must not have any problem here. Do you have any idea or suggestion for this case?</div><span><font color="#888888"><div><br></div><div><br clear="all"><div><div><div dir="ltr">Giang</div></div></div>
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</blockquote></span></div><span class=""><font color="#888888"><br><br clear="all"><div><br></div>-- <br><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div>
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