Multigrid Questions

Hal Finkel hal.finkel at yale.edu
Wed Aug 26 15:45:59 CDT 2009


Barry,

Here is the output with those options in the (working) 1-level case on 1 
cpu. Is that what you wanted?

   0 SNES Function norm 6.643976542462e-01
     0 KSP preconditioned resid norm 6.643976542462e-01 true resid norm 
6.643976542462e-01 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.438911631652e-03 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.438911631652e-03 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.141505633982e-04 true resid 
norm 1.970012522193e-01 ||Ae||/||Ax|| 1.970012522193e-01
       1 KSP preconditioned resid norm 5.141505633982e-04 true resid 
norm 1.970012522193e-01 ||Ae||/||Ax|| 1.970012522193e-01
     1 KSP preconditioned resid norm 4.790430472989e-02 true resid norm 
4.790430472989e-02 ||Ae||/||Ax|| 7.210185710881e-02
       0 KSP preconditioned resid norm 8.314136308720e-03 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.314136308720e-03 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.510029589596e-03 true resid 
norm 5.934134865465e-01 ||Ae||/||Ax|| 5.934134865465e-01
       1 KSP preconditioned resid norm 4.510029589596e-03 true resid 
norm 5.934134865465e-01 ||Ae||/||Ax|| 5.934134865465e-01
     2 KSP preconditioned resid norm 8.487458086567e-03 true resid norm 
8.487458086567e-03 ||Ae||/||Ax|| 1.277466594339e-02
       0 KSP preconditioned resid norm 6.119493660032e-02 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 6.119493660032e-02 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.236002849750e-02 true resid 
norm 7.814908146189e-01 ||Ae||/||Ax|| 7.814908146189e-01
       1 KSP preconditioned resid norm 2.236002849750e-02 true resid 
norm 7.814908146189e-01 ||Ae||/||Ax|| 7.814908146189e-01
     3 KSP preconditioned resid norm 5.965466932886e-03 true resid norm 
5.965466932886e-03 ||Ae||/||Ax|| 8.978759775506e-03
       0 KSP preconditioned resid norm 1.765708232662e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.765708232662e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.422901024605e-02 true resid 
norm 6.919985015683e-01 ||Ae||/||Ax|| 6.919985015683e-01
       1 KSP preconditioned resid norm 2.422901024605e-02 true resid 
norm 6.919985015683e-01 ||Ae||/||Ax|| 6.919985015683e-01
     4 KSP preconditioned resid norm 4.622977909431e-03 true resid norm 
4.622977909431e-03 ||Ae||/||Ax|| 6.958149054087e-03
       0 KSP preconditioned resid norm 8.428635776507e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.428635776507e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.071459298111e-02 true resid 
norm 4.423943234439e-01 ||Ae||/||Ax|| 4.423943234439e-01
       1 KSP preconditioned resid norm 1.071459298111e-02 true resid 
norm 4.423943234439e-01 ||Ae||/||Ax|| 4.423943234439e-01
     5 KSP preconditioned resid norm 2.949006884559e-03 true resid norm 
2.949006884560e-03 ||Ae||/||Ax|| 4.438617243322e-03
       0 KSP preconditioned resid norm 4.221520918573e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.221520918573e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.795668593850e-02 true resid 
norm 8.064343336541e-01 ||Ae||/||Ax|| 8.064343336541e-01
       1 KSP preconditioned resid norm 1.795668593850e-02 true resid 
norm 8.064343336541e-01 ||Ae||/||Ax|| 8.064343336541e-01
     6 KSP preconditioned resid norm 1.327402359192e-03 true resid norm 
1.327402359192e-03 ||Ae||/||Ax|| 1.997903440370e-03
       0 KSP preconditioned resid norm 3.239330680409e-02 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.239330680409e-02 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.103583195381e-02 true resid 
norm 5.910503837805e-01 ||Ae||/||Ax|| 5.910503837805e-01
       1 KSP preconditioned resid norm 1.103583195381e-02 true resid 
norm 5.910503837805e-01 ||Ae||/||Ax|| 5.910503837805e-01
     7 KSP preconditioned resid norm 5.579319891254e-04 true resid norm 
5.579319891255e-04 ||Ae||/||Ax|| 8.397561092512e-04
       0 KSP preconditioned resid norm 2.166256693843e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.166256693843e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.527142494434e-02 true resid 
norm 3.938455942305e-01 ||Ae||/||Ax|| 3.938455942305e-01
       1 KSP preconditioned resid norm 2.527142494434e-02 true resid 
norm 3.938455942305e-01 ||Ae||/||Ax|| 3.938455942305e-01
     8 KSP preconditioned resid norm 1.841437265702e-04 true resid norm 
1.841437265703e-04 ||Ae||/||Ax|| 2.771589053535e-04
       0 KSP preconditioned resid norm 1.097958713832e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.097958713832e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.070826208815e-02 true resid 
norm 5.960016421595e-01 ||Ae||/||Ax|| 5.960016421595e-01
       1 KSP preconditioned resid norm 4.070826208815e-02 true resid 
norm 5.960016421595e-01 ||Ae||/||Ax|| 5.960016421595e-01
     9 KSP preconditioned resid norm 6.545738966234e-05 true resid norm 
6.545738966232e-05 ||Ae||/||Ax|| 9.852140392726e-05
       0 KSP preconditioned resid norm 9.668719808206e-02 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.668719808206e-02 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 7.944112488019e-02 true resid 
norm 7.461779305230e-01 ||Ae||/||Ax|| 7.461779305230e-01
       1 KSP preconditioned resid norm 7.944112488019e-02 true resid 
norm 7.461779305230e-01 ||Ae||/||Ax|| 7.461779305230e-01
    10 KSP preconditioned resid norm 4.125461342831e-05 true resid norm 
4.125461342821e-05 ||Ae||/||Ax|| 6.209325569492e-05
       0 KSP preconditioned resid norm 3.008151203349e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.008151203349e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 7.247738676584e-02 true resid 
norm 7.832960673267e-01 ||Ae||/||Ax|| 7.832960673267e-01
       1 KSP preconditioned resid norm 7.247738676584e-02 true resid 
norm 7.832960673267e-01 ||Ae||/||Ax|| 7.832960673267e-01
    11 KSP preconditioned resid norm 3.280778128691e-05 true resid norm 
3.280778128689e-05 ||Ae||/||Ax|| 4.937973678446e-05
       0 KSP preconditioned resid norm 9.091470733399e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.091470733399e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.215403990109e-01 true resid 
norm 7.059207029764e-01 ||Ae||/||Ax|| 7.059207029764e-01
       1 KSP preconditioned resid norm 1.215403990109e-01 true resid 
norm 7.059207029764e-01 ||Ae||/||Ax|| 7.059207029764e-01
    12 KSP preconditioned resid norm 2.968550831459e-05 true resid norm 
2.968550831435e-05 ||Ae||/||Ax|| 4.468033281669e-05
       0 KSP preconditioned resid norm 1.024246289230e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.024246289230e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 9.302673603327e-02 true resid 
norm 5.985130004903e-01 ||Ae||/||Ax|| 5.985130004903e-01
       1 KSP preconditioned resid norm 9.302673603327e-02 true resid 
norm 5.985130004903e-01 ||Ae||/||Ax|| 5.985130004903e-01
    13 KSP preconditioned resid norm 2.521514028222e-05 true resid norm 
2.521514028196e-05 ||Ae||/||Ax|| 3.795188035479e-05
       0 KSP preconditioned resid norm 5.990912160630e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 5.990912160630e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 9.781990197263e-02 true resid 
norm 5.480521896855e-01 ||Ae||/||Ax|| 5.480521896855e-01
       1 KSP preconditioned resid norm 9.781990197263e-02 true resid 
norm 5.480521896855e-01 ||Ae||/||Ax|| 5.480521896855e-01
    14 KSP preconditioned resid norm 1.978375072845e-05 true resid norm 
1.978375072804e-05 ||Ae||/||Ax|| 2.977697257298e-05
       0 KSP preconditioned resid norm 1.008331187053e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.008331187053e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.294954965258e-01 true resid 
norm 6.339103426898e-01 ||Ae||/||Ax|| 6.339103426898e-01
       1 KSP preconditioned resid norm 2.294954965258e-01 true resid 
norm 6.339103426898e-01 ||Ae||/||Ax|| 6.339103426898e-01
    15 KSP preconditioned resid norm 1.488645974384e-05 true resid norm 
1.488645974344e-05 ||Ae||/||Ax|| 2.240594867893e-05
       0 KSP preconditioned resid norm 1.849227047229e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.849227047229e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.919984907088e-01 true resid 
norm 5.183188121423e-01 ||Ae||/||Ax|| 5.183188121423e-01
       1 KSP preconditioned resid norm 2.919984907088e-01 true resid 
norm 5.183188121423e-01 ||Ae||/||Ax|| 5.183188121423e-01
    16 KSP preconditioned resid norm 7.094849419546e-06 true resid norm 
7.094849419588e-06 ||Ae||/||Ax|| 1.067861900813e-05
       0 KSP preconditioned resid norm 1.388766130430e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.388766130430e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.878119571370e-01 true resid 
norm 7.032718519224e-01 ||Ae||/||Ax|| 7.032718519224e-01
       1 KSP preconditioned resid norm 3.878119571370e-01 true resid 
norm 7.032718519224e-01 ||Ae||/||Ax|| 7.032718519224e-01
    17 KSP preconditioned resid norm 4.097305136804e-06 true resid norm 
4.097305136552e-06 ||Ae||/||Ax|| 6.166947023919e-06
   1 SNES Function norm 5.850920566283e-06
     0 KSP preconditioned resid norm 5.850920566283e-06 true resid norm 
5.850920566283e-06 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.276021960717e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.276021960717e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.809774037292e-01 true resid 
norm 7.868108837109e-01 ||Ae||/||Ax|| 7.868108837109e-01
       1 KSP preconditioned resid norm 3.809774037292e-01 true resid 
norm 7.868108837109e-01 ||Ae||/||Ax|| 7.868108837109e-01
     1 KSP preconditioned resid norm 3.947856942305e-06 true resid norm 
3.947856942305e-06 ||Ae||/||Ax|| 6.747411621096e-01
       0 KSP preconditioned resid norm 2.497905632896e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.497905632896e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.608088417629e-01 true resid 
norm 8.391706412367e-01 ||Ae||/||Ax|| 8.391706412367e-01
       1 KSP preconditioned resid norm 5.608088417629e-01 true resid 
norm 8.391706412367e-01 ||Ae||/||Ax|| 8.391706412367e-01
     2 KSP preconditioned resid norm 3.305771768709e-06 true resid norm 
3.305771768709e-06 ||Ae||/||Ax|| 5.650002817948e-01
       0 KSP preconditioned resid norm 7.301425383804e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 7.301425383804e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.476223530528e-01 true resid 
norm 5.563009832684e-01 ||Ae||/||Ax|| 5.563009832684e-01
       1 KSP preconditioned resid norm 3.476223530528e-01 true resid 
norm 5.563009832684e-01 ||Ae||/||Ax|| 5.563009832684e-01
     3 KSP preconditioned resid norm 3.007329187251e-06 true resid norm 
3.007329187251e-06 ||Ae||/||Ax|| 5.139924825815e-01
       0 KSP preconditioned resid norm 2.880397337024e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.880397337024e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.471977831965e-01 true resid 
norm 7.798621978217e-01 ||Ae||/||Ax|| 7.798621978217e-01
       1 KSP preconditioned resid norm 4.471977831965e-01 true resid 
norm 7.798621978217e-01 ||Ae||/||Ax|| 7.798621978217e-01
     4 KSP preconditioned resid norm 3.001204159469e-06 true resid norm 
3.001204159469e-06 ||Ae||/||Ax|| 5.129456340194e-01
       0 KSP preconditioned resid norm 4.619989941290e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.619989941290e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.243648576810e-01 true resid 
norm 1.108094778155e+00 ||Ae||/||Ax|| 1.108094778155e+00
       1 KSP preconditioned resid norm 3.243648576810e-01 true resid 
norm 1.108094778155e+00 ||Ae||/||Ax|| 1.108094778155e+00
     5 KSP preconditioned resid norm 3.001115709599e-06 true resid norm 
3.001115709599e-06 ||Ae||/||Ax|| 5.129305167624e-01
       0 KSP preconditioned resid norm 4.829994865746e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.829994865746e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.325734548745e-01 true resid 
norm 1.088867367033e+00 ||Ae||/||Ax|| 1.088867367033e+00
       1 KSP preconditioned resid norm 4.325734548745e-01 true resid 
norm 1.088867367033e+00 ||Ae||/||Ax|| 1.088867367033e+00
     6 KSP preconditioned resid norm 2.974277803753e-06 true resid norm 
2.974277803753e-06 ||Ae||/||Ax|| 5.083435623606e-01
       0 KSP preconditioned resid norm 1.381129102428e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.381129102428e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.098881160663e-01 true resid 
norm 6.431427158439e-01 ||Ae||/||Ax|| 6.431427158439e-01
       1 KSP preconditioned resid norm 3.098881160663e-01 true resid 
norm 6.431427158439e-01 ||Ae||/||Ax|| 6.431427158439e-01
     7 KSP preconditioned resid norm 2.816838388951e-06 true resid norm 
2.816838388951e-06 ||Ae||/||Ax|| 4.814350762483e-01
       0 KSP preconditioned resid norm 1.559573417426e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.559573417426e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.532723445272e-01 true resid 
norm 8.138557633078e-01 ||Ae||/||Ax|| 8.138557633078e-01
       1 KSP preconditioned resid norm 2.532723445272e-01 true resid 
norm 8.138557633078e-01 ||Ae||/||Ax|| 8.138557633078e-01
     8 KSP preconditioned resid norm 2.572324455447e-06 true resid norm 
2.572324455447e-06 ||Ae||/||Ax|| 4.396443989123e-01
       0 KSP preconditioned resid norm 5.946831260059e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 5.946831260059e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.929968207615e-01 true resid 
norm 1.354756640752e+00 ||Ae||/||Ax|| 1.354756640752e+00
       1 KSP preconditioned resid norm 3.929968207615e-01 true resid 
norm 1.354756640752e+00 ||Ae||/||Ax|| 1.354756640752e+00
     9 KSP preconditioned resid norm 2.177455315353e-06 true resid norm 
2.177455315353e-06 ||Ae||/||Ax|| 3.721560206954e-01
       0 KSP preconditioned resid norm 5.315723299063e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 5.315723299063e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.628504511585e-01 true resid 
norm 1.244733734536e+00 ||Ae||/||Ax|| 1.244733734536e+00
       1 KSP preconditioned resid norm 3.628504511585e-01 true resid 
norm 1.244733734536e+00 ||Ae||/||Ax|| 1.244733734536e+00
    10 KSP preconditioned resid norm 1.409067985559e-06 true resid norm 
1.409067985559e-06 ||Ae||/||Ax|| 2.408284251334e-01
       0 KSP preconditioned resid norm 1.522258580690e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.522258580690e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.414238177111e-01 true resid 
norm 8.091416034904e-01 ||Ae||/||Ax|| 8.091416034904e-01
       1 KSP preconditioned resid norm 2.414238177111e-01 true resid 
norm 8.091416034904e-01 ||Ae||/||Ax|| 8.091416034904e-01
    11 KSP preconditioned resid norm 1.001503517728e-06 true resid norm 
1.001503517728e-06 ||Ae||/||Ax|| 1.711702468667e-01
       0 KSP preconditioned resid norm 8.244553153983e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.244553153983e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.244218748685e-01 true resid 
norm 6.292257324755e-01 ||Ae||/||Ax|| 6.292257324755e-01
       1 KSP preconditioned resid norm 2.244218748685e-01 true resid 
norm 6.292257324755e-01 ||Ae||/||Ax|| 6.292257324755e-01
    12 KSP preconditioned resid norm 7.556215980081e-07 true resid norm 
7.556215980082e-07 ||Ae||/||Ax|| 1.291457625254e-01
       0 KSP preconditioned resid norm 1.857974243745e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.857974243745e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.451523414794e-01 true resid 
norm 6.449941313821e-01 ||Ae||/||Ax|| 6.449941313821e-01
       1 KSP preconditioned resid norm 3.451523414794e-01 true resid 
norm 6.449941313821e-01 ||Ae||/||Ax|| 6.449941313821e-01
    13 KSP preconditioned resid norm 5.872140840954e-07 true resid norm 
5.872140840955e-07 ||Ae||/||Ax|| 1.003626826656e-01
       0 KSP preconditioned resid norm 2.611648570586e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.611648570586e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.740043981340e-01 true resid 
norm 6.369784579675e-01 ||Ae||/||Ax|| 6.369784579675e-01
       1 KSP preconditioned resid norm 2.740043981340e-01 true resid 
norm 6.369784579675e-01 ||Ae||/||Ax|| 6.369784579675e-01
    14 KSP preconditioned resid norm 4.352350316840e-07 true resid norm 
4.352350316841e-07 ||Ae||/||Ax|| 7.438744497613e-02
       0 KSP preconditioned resid norm 2.003016340281e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.003016340281e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.073409352245e-01 true resid 
norm 6.562979155542e-01 ||Ae||/||Ax|| 6.562979155542e-01
       1 KSP preconditioned resid norm 4.073409352245e-01 true resid 
norm 6.562979155542e-01 ||Ae||/||Ax|| 6.562979155542e-01
    15 KSP preconditioned resid norm 3.052867274622e-07 true resid norm 
3.052867274624e-07 ||Ae||/||Ax|| 5.217755462648e-02
       0 KSP preconditioned resid norm 1.286639096168e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.286639096168e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.656621503377e-01 true resid 
norm 6.308753365212e-01 ||Ae||/||Ax|| 6.308753365212e-01
       1 KSP preconditioned resid norm 3.656621503377e-01 true resid 
norm 6.308753365212e-01 ||Ae||/||Ax|| 6.308753365212e-01
    16 KSP preconditioned resid norm 1.955997188783e-07 true resid norm 
1.955997188782e-07 ||Ae||/||Ax|| 3.343058868468e-02
       0 KSP preconditioned resid norm 1.335903581256e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.335903581256e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.001895431683e-01 true resid 
norm 6.789558143016e-01 ||Ae||/||Ax|| 6.789558143016e-01
       1 KSP preconditioned resid norm 3.001895431683e-01 true resid 
norm 6.789558143016e-01 ||Ae||/||Ax|| 6.789558143016e-01
    17 KSP preconditioned resid norm 1.567782688997e-07 true resid norm 
1.567782688996e-07 ||Ae||/||Ax|| 2.679548750039e-02
       0 KSP preconditioned resid norm 1.651696143482e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.651696143482e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.713972348795e-01 true resid 
norm 5.033537683058e-01 ||Ae||/||Ax|| 5.033537683058e-01
       1 KSP preconditioned resid norm 2.713972348795e-01 true resid 
norm 5.033537683058e-01 ||Ae||/||Ax|| 5.033537683058e-01
    18 KSP preconditioned resid norm 1.010718356377e-07 true resid norm 
1.010718356378e-07 ||Ae||/||Ax|| 1.727451851256e-02
       0 KSP preconditioned resid norm 1.011081720758e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.011081720758e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.527570671391e-01 true resid 
norm 7.947330071383e-01 ||Ae||/||Ax|| 7.947330071383e-01
       1 KSP preconditioned resid norm 5.527570671391e-01 true resid 
norm 7.947330071383e-01 ||Ae||/||Ax|| 7.947330071383e-01
    19 KSP preconditioned resid norm 8.997938714701e-08 true resid norm 
8.997938714709e-08 ||Ae||/||Ax|| 1.537867180519e-02
       0 KSP preconditioned resid norm 1.537108246495e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.537108246495e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.298772065070e-01 true resid 
norm 5.876338587223e-01 ||Ae||/||Ax|| 5.876338587223e-01
       1 KSP preconditioned resid norm 4.298772065070e-01 true resid 
norm 5.876338587223e-01 ||Ae||/||Ax|| 5.876338587223e-01
    20 KSP preconditioned resid norm 8.711914509357e-08 true resid norm 
8.711914509361e-08 ||Ae||/||Ax|| 1.488981846646e-02
       0 KSP preconditioned resid norm 1.923097362850e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.923097362850e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.075948671586e-01 true resid 
norm 4.631591237704e-01 ||Ae||/||Ax|| 4.631591237704e-01
       1 KSP preconditioned resid norm 3.075948671586e-01 true resid 
norm 4.631591237704e-01 ||Ae||/||Ax|| 4.631591237704e-01
    21 KSP preconditioned resid norm 8.323067409578e-08 true resid norm 
8.323067409577e-08 ||Ae||/||Ax|| 1.422522715065e-02
       0 KSP preconditioned resid norm 9.819276869885e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.819276869885e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.279383354509e-01 true resid 
norm 6.842834730228e-01 ||Ae||/||Ax|| 6.842834730228e-01
       1 KSP preconditioned resid norm 4.279383354509e-01 true resid 
norm 6.842834730228e-01 ||Ae||/||Ax|| 6.842834730228e-01
    22 KSP preconditioned resid norm 7.909034553981e-08 true resid norm 
7.909034553913e-08 ||Ae||/||Ax|| 1.351759003445e-02
       0 KSP preconditioned resid norm 9.582482498733e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.582482498733e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.872542232901e-01 true resid 
norm 6.520743487433e-01 ||Ae||/||Ax|| 6.520743487433e-01
       1 KSP preconditioned resid norm 4.872542232901e-01 true resid 
norm 6.520743487433e-01 ||Ae||/||Ax|| 6.520743487433e-01
    23 KSP preconditioned resid norm 7.583943619887e-08 true resid norm 
7.583943619831e-08 ||Ae||/||Ax|| 1.296196646992e-02
       0 KSP preconditioned resid norm 1.129055084162e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.129055084162e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.940290407027e-01 true resid 
norm 5.533623127492e-01 ||Ae||/||Ax|| 5.533623127492e-01
       1 KSP preconditioned resid norm 3.940290407027e-01 true resid 
norm 5.533623127492e-01 ||Ae||/||Ax|| 5.533623127492e-01
    24 KSP preconditioned resid norm 7.198974227007e-08 true resid norm 
7.198974226927e-08 ||Ae||/||Ax|| 1.230400266996e-02
       0 KSP preconditioned resid norm 7.922461164088e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 7.922461164088e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.568631157402e-01 true resid 
norm 6.784746707201e-01 ||Ae||/||Ax|| 6.784746707201e-01
       1 KSP preconditioned resid norm 3.568631157402e-01 true resid 
norm 6.784746707201e-01 ||Ae||/||Ax|| 6.784746707201e-01
    25 KSP preconditioned resid norm 6.969681693595e-08 true resid norm 
6.969681693509e-08 ||Ae||/||Ax|| 1.191211129010e-02
       0 KSP preconditioned resid norm 8.506106408028e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.506106408028e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.674832821714e-01 true resid 
norm 5.592992824796e-01 ||Ae||/||Ax|| 5.592992824796e-01
       1 KSP preconditioned resid norm 2.674832821714e-01 true resid 
norm 5.592992824796e-01 ||Ae||/||Ax|| 5.592992824796e-01
    26 KSP preconditioned resid norm 6.713093474885e-08 true resid norm 
6.713093474791e-08 ||Ae||/||Ax|| 1.147356796036e-02
       0 KSP preconditioned resid norm 7.107668950850e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 7.107668950850e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.080542740675e-01 true resid 
norm 6.120847770454e-01 ||Ae||/||Ax|| 6.120847770454e-01
       1 KSP preconditioned resid norm 3.080542740675e-01 true resid 
norm 6.120847770454e-01 ||Ae||/||Ax|| 6.120847770454e-01
    27 KSP preconditioned resid norm 6.316951623357e-08 true resid norm 
6.316951623251e-08 ||Ae||/||Ax|| 1.079650894537e-02
       0 KSP preconditioned resid norm 9.816834307897e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.816834307897e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.035636714372e-01 true resid 
norm 5.561308623772e-01 ||Ae||/||Ax|| 5.561308623772e-01
       1 KSP preconditioned resid norm 3.035636714372e-01 true resid 
norm 5.561308623772e-01 ||Ae||/||Ax|| 5.561308623772e-01
    28 KSP preconditioned resid norm 5.685161562141e-08 true resid norm 
5.685161562024e-08 ||Ae||/||Ax|| 9.716695856008e-03
       0 KSP preconditioned resid norm 1.017862349675e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.017862349675e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.438638918414e-01 true resid 
norm 6.483000200066e-01 ||Ae||/||Ax|| 6.483000200066e-01
       1 KSP preconditioned resid norm 3.438638918414e-01 true resid 
norm 6.483000200066e-01 ||Ae||/||Ax|| 6.483000200066e-01
    29 KSP preconditioned resid norm 5.170566864610e-08 true resid norm 
5.170566864501e-08 ||Ae||/||Ax|| 8.837185201757e-03
       0 KSP preconditioned resid norm 8.897697988733e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.897697988733e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.213181899588e-01 true resid 
norm 6.348471232738e-01 ||Ae||/||Ax|| 6.348471232738e-01
       1 KSP preconditioned resid norm 3.213181899588e-01 true resid 
norm 6.348471232738e-01 ||Ae||/||Ax|| 6.348471232738e-01
    30 KSP preconditioned resid norm 4.885061460285e-08 true resid norm 
4.885061460285e-08 ||Ae||/||Ax|| 8.349218563034e-03
       0 KSP preconditioned resid norm 7.100457326024e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 7.100457326024e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 6.955812925302e-01 true resid 
norm 9.726932992087e-01 ||Ae||/||Ax|| 9.726932992087e-01
       1 KSP preconditioned resid norm 6.955812925302e-01 true resid 
norm 9.726932992087e-01 ||Ae||/||Ax|| 9.726932992087e-01
    31 KSP preconditioned resid norm 4.725291213013e-08 true resid norm 
4.725291213007e-08 ||Ae||/||Ax|| 8.076149999775e-03
       0 KSP preconditioned resid norm 4.185203199010e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.185203199010e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.196403938530e-01 true resid 
norm 4.016140042970e-01 ||Ae||/||Ax|| 4.016140042970e-01
       1 KSP preconditioned resid norm 2.196403938530e-01 true resid 
norm 4.016140042970e-01 ||Ae||/||Ax|| 4.016140042970e-01
    32 KSP preconditioned resid norm 4.547823851359e-08 true resid norm 
4.547823851362e-08 ||Ae||/||Ax|| 7.772834718641e-03
       0 KSP preconditioned resid norm 6.581109982585e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 6.581109982585e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.128181724937e-01 true resid 
norm 7.298286188824e-01 ||Ae||/||Ax|| 7.298286188824e-01
       1 KSP preconditioned resid norm 3.128181724937e-01 true resid 
norm 7.298286188824e-01 ||Ae||/||Ax|| 7.298286188824e-01
    33 KSP preconditioned resid norm 4.468618222477e-08 true resid norm 
4.468618222483e-08 ||Ae||/||Ax|| 7.637461783764e-03
       0 KSP preconditioned resid norm 8.120341282592e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.120341282592e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.218250119940e-01 true resid 
norm 4.572201876132e-01 ||Ae||/||Ax|| 4.572201876132e-01
       1 KSP preconditioned resid norm 2.218250119940e-01 true resid 
norm 4.572201876132e-01 ||Ae||/||Ax|| 4.572201876132e-01
    34 KSP preconditioned resid norm 4.314354409778e-08 true resid norm 
4.314354409782e-08 ||Ae||/||Ax|| 7.373804448217e-03
       0 KSP preconditioned resid norm 5.778947005677e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 5.778947005677e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.877938034235e-01 true resid 
norm 6.868568173397e-01 ||Ae||/||Ax|| 6.868568173397e-01
       1 KSP preconditioned resid norm 3.877938034235e-01 true resid 
norm 6.868568173397e-01 ||Ae||/||Ax|| 6.868568173397e-01
    35 KSP preconditioned resid norm 4.111383309670e-08 true resid norm 
4.111383309672e-08 ||Ae||/||Ax|| 7.026899892239e-03
       0 KSP preconditioned resid norm 7.589832929724e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 7.589832929724e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.735429451288e-01 true resid 
norm 6.133540321550e-01 ||Ae||/||Ax|| 6.133540321550e-01
       1 KSP preconditioned resid norm 2.735429451288e-01 true resid 
norm 6.133540321550e-01 ||Ae||/||Ax|| 6.133540321550e-01
    36 KSP preconditioned resid norm 3.896413302095e-08 true resid norm 
3.896413302095e-08 ||Ae||/||Ax|| 6.659487610460e-03
       0 KSP preconditioned resid norm 9.173185113175e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.173185113175e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.052187383165e-01 true resid 
norm 6.655288549919e-01 ||Ae||/||Ax|| 6.655288549919e-01
       1 KSP preconditioned resid norm 3.052187383165e-01 true resid 
norm 6.655288549919e-01 ||Ae||/||Ax|| 6.655288549919e-01
    37 KSP preconditioned resid norm 3.770537943429e-08 true resid norm 
3.770537943431e-08 ||Ae||/||Ax|| 6.444349911635e-03
       0 KSP preconditioned resid norm 1.137492649970e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.137492649970e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.044329763751e-01 true resid 
norm 6.147370239994e-01 ||Ae||/||Ax|| 6.147370239994e-01
       1 KSP preconditioned resid norm 3.044329763751e-01 true resid 
norm 6.147370239994e-01 ||Ae||/||Ax|| 6.147370239994e-01
    38 KSP preconditioned resid norm 3.694716763304e-08 true resid norm 
3.694716763306e-08 ||Ae||/||Ax|| 6.314761448988e-03
       0 KSP preconditioned resid norm 1.223189932062e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.223189932062e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.107514686273e-01 true resid 
norm 5.789372321326e-01 ||Ae||/||Ax|| 5.789372321326e-01
       1 KSP preconditioned resid norm 2.107514686273e-01 true resid 
norm 5.789372321326e-01 ||Ae||/||Ax|| 5.789372321326e-01
    39 KSP preconditioned resid norm 3.634742486594e-08 true resid norm 
3.634742486593e-08 ||Ae||/||Ax|| 6.212257448064e-03
       0 KSP preconditioned resid norm 1.192363148419e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.192363148419e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.860271918718e-01 true resid 
norm 5.850260965540e-01 ||Ae||/||Ax|| 5.850260965540e-01
       1 KSP preconditioned resid norm 2.860271918718e-01 true resid 
norm 5.850260965540e-01 ||Ae||/||Ax|| 5.850260965540e-01
    40 KSP preconditioned resid norm 3.561782722372e-08 true resid norm 
3.561782722374e-08 ||Ae||/||Ax|| 6.087559525075e-03
       0 KSP preconditioned resid norm 8.881324685300e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 8.881324685300e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.642271412468e-01 true resid 
norm 6.637278122540e-01 ||Ae||/||Ax|| 6.637278122540e-01
       1 KSP preconditioned resid norm 2.642271412468e-01 true resid 
norm 6.637278122540e-01 ||Ae||/||Ax|| 6.637278122540e-01
    41 KSP preconditioned resid norm 3.506823410956e-08 true resid norm 
3.506823410956e-08 ||Ae||/||Ax|| 5.993626765614e-03
       0 KSP preconditioned resid norm 9.513827527161e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 9.513827527161e-01 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.263980500382e-01 true resid 
norm 6.267230897905e-01 ||Ae||/||Ax|| 6.267230897905e-01
       1 KSP preconditioned resid norm 2.263980500382e-01 true resid 
norm 6.267230897905e-01 ||Ae||/||Ax|| 6.267230897905e-01
    42 KSP preconditioned resid norm 3.466236527477e-08 true resid norm 
3.466236527477e-08 ||Ae||/||Ax|| 5.924258393546e-03
       0 KSP preconditioned resid norm 1.407625976444e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.407625976444e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.841824427477e-01 true resid 
norm 5.311814594204e-01 ||Ae||/||Ax|| 5.311814594204e-01
       1 KSP preconditioned resid norm 1.841824427477e-01 true resid 
norm 5.311814594204e-01 ||Ae||/||Ax|| 5.311814594204e-01
    43 KSP preconditioned resid norm 3.394294635279e-08 true resid norm 
3.394294635284e-08 ||Ae||/||Ax|| 5.801300148978e-03
       0 KSP preconditioned resid norm 1.536263909707e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.536263909707e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.972519671057e-01 true resid 
norm 5.927201357618e-01 ||Ae||/||Ax|| 5.927201357618e-01
       1 KSP preconditioned resid norm 2.972519671057e-01 true resid 
norm 5.927201357618e-01 ||Ae||/||Ax|| 5.927201357618e-01
    44 KSP preconditioned resid norm 3.248296724023e-08 true resid norm 
3.248296724025e-08 ||Ae||/||Ax|| 5.551770336352e-03
       0 KSP preconditioned resid norm 1.783804105384e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.783804105384e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.722881763352e-01 true resid 
norm 5.786098812309e-01 ||Ae||/||Ax|| 5.786098812309e-01
       1 KSP preconditioned resid norm 3.722881763352e-01 true resid 
norm 5.786098812309e-01 ||Ae||/||Ax|| 5.786098812309e-01
    45 KSP preconditioned resid norm 2.950320556254e-08 true resid norm 
2.950320556258e-08 ||Ae||/||Ax|| 5.042489507138e-03
       0 KSP preconditioned resid norm 2.201496546447e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.201496546447e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.087649817784e-01 true resid 
norm 5.074174843604e-01 ||Ae||/||Ax|| 5.074174843604e-01
       1 KSP preconditioned resid norm 4.087649817784e-01 true resid 
norm 5.074174843604e-01 ||Ae||/||Ax|| 5.074174843604e-01
    46 KSP preconditioned resid norm 2.319584580786e-08 true resid norm 
2.319584580791e-08 ||Ae||/||Ax|| 3.964477990280e-03
       0 KSP preconditioned resid norm 1.736355434315e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.736355434315e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 6.867386399797e-01 true resid 
norm 7.098722583695e-01 ||Ae||/||Ax|| 7.098722583695e-01
       1 KSP preconditioned resid norm 6.867386399797e-01 true resid 
norm 7.098722583695e-01 ||Ae||/||Ax|| 7.098722583695e-01
    47 KSP preconditioned resid norm 2.008430277340e-08 true resid norm 
2.008430277343e-08 ||Ae||/||Ax|| 3.432673977693e-03
       0 KSP preconditioned resid norm 1.488127968937e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.488127968937e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.516786708506e-01 true resid 
norm 6.355423307226e-01 ||Ae||/||Ax|| 6.355423307226e-01
       1 KSP preconditioned resid norm 5.516786708506e-01 true resid 
norm 6.355423307226e-01 ||Ae||/||Ax|| 6.355423307226e-01
    48 KSP preconditioned resid norm 1.854206408497e-08 true resid norm 
1.854206408497e-08 ||Ae||/||Ax|| 3.169084911497e-03
       0 KSP preconditioned resid norm 1.380328436388e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.380328436388e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.575661767087e-01 true resid 
norm 6.487066138646e-01 ||Ae||/||Ax|| 6.487066138646e-01
       1 KSP preconditioned resid norm 4.575661767087e-01 true resid 
norm 6.487066138646e-01 ||Ae||/||Ax|| 6.487066138646e-01
    49 KSP preconditioned resid norm 1.665547510085e-08 true resid norm 
1.665547510085e-08 ||Ae||/||Ax|| 2.846641808270e-03
       0 KSP preconditioned resid norm 2.313536103290e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.313536103290e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.305138630648e-01 true resid 
norm 7.334968078908e-01 ||Ae||/||Ax|| 7.334968078908e-01
       1 KSP preconditioned resid norm 5.305138630648e-01 true resid 
norm 7.334968078908e-01 ||Ae||/||Ax|| 7.334968078908e-01
    50 KSP preconditioned resid norm 1.462283172240e-08 true resid norm 
1.462283172247e-08 ||Ae||/||Ax|| 2.499236070088e-03
       0 KSP preconditioned resid norm 3.213123410447e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.213123410447e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.224884980518e-01 true resid 
norm 7.561756407001e-01 ||Ae||/||Ax|| 7.561756407001e-01
       1 KSP preconditioned resid norm 5.224884980518e-01 true resid 
norm 7.561756407001e-01 ||Ae||/||Ax|| 7.561756407001e-01
    51 KSP preconditioned resid norm 1.223657774649e-08 true resid norm 
1.223657774655e-08 ||Ae||/||Ax|| 2.091393586347e-03
       0 KSP preconditioned resid norm 2.023552916685e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.023552916685e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.574715128775e-01 true resid 
norm 6.980817617824e-01 ||Ae||/||Ax|| 6.980817617824e-01
       1 KSP preconditioned resid norm 5.574715128775e-01 true resid 
norm 6.980817617824e-01 ||Ae||/||Ax|| 6.980817617824e-01
    52 KSP preconditioned resid norm 9.853979905043e-09 true resid norm 
9.853979905046e-09 ||Ae||/||Ax|| 1.684175984516e-03
       0 KSP preconditioned resid norm 1.170745734096e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.170745734096e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 4.134603323396e-01 true resid 
norm 6.348912278346e-01 ||Ae||/||Ax|| 6.348912278346e-01
       1 KSP preconditioned resid norm 4.134603323396e-01 true resid 
norm 6.348912278346e-01 ||Ae||/||Ax|| 6.348912278346e-01
    53 KSP preconditioned resid norm 8.181596904133e-09 true resid norm 
8.181596904190e-09 ||Ae||/||Ax|| 1.398343527570e-03
       0 KSP preconditioned resid norm 2.385292955090e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.385292955090e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.286979495932e-01 true resid 
norm 7.984208016570e-01 ||Ae||/||Ax|| 7.984208016570e-01
       1 KSP preconditioned resid norm 5.286979495932e-01 true resid 
norm 7.984208016570e-01 ||Ae||/||Ax|| 7.984208016570e-01
    54 KSP preconditioned resid norm 6.409203469073e-09 true resid norm 
6.409203469062e-09 ||Ae||/||Ax|| 1.095417959696e-03
       0 KSP preconditioned resid norm 5.707419973376e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 5.707419973376e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 6.431212555078e-01 true resid 
norm 1.319769139913e+00 ||Ae||/||Ax|| 1.319769139913e+00
       1 KSP preconditioned resid norm 6.431212555078e-01 true resid 
norm 1.319769139913e+00 ||Ae||/||Ax|| 1.319769139913e+00
    55 KSP preconditioned resid norm 4.450638029919e-09 true resid norm 
4.450638029969e-09 ||Ae||/||Ax|| 7.606731247757e-04
       0 KSP preconditioned resid norm 7.199725849178e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 7.199725849178e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.820447922491e-01 true resid 
norm 1.569220175230e+00 ||Ae||/||Ax|| 1.569220175230e+00
       1 KSP preconditioned resid norm 8.820447922491e-01 true resid 
norm 1.569220175230e+00 ||Ae||/||Ax|| 1.569220175230e+00
    56 KSP preconditioned resid norm 2.820717192827e-09 true resid norm 
2.820717192685e-09 ||Ae||/||Ax|| 4.820980153004e-04
       0 KSP preconditioned resid norm 3.954316557881e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.954316557881e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.174082394688e+00 true resid 
norm 1.017969498279e+00 ||Ae||/||Ax|| 1.017969498279e+00
       1 KSP preconditioned resid norm 1.174082394688e+00 true resid 
norm 1.017969498279e+00 ||Ae||/||Ax|| 1.017969498279e+00
    57 KSP preconditioned resid norm 1.751635661806e-09 true resid norm 
1.751635661897e-09 ||Ae||/||Ax|| 2.993777888545e-04
       0 KSP preconditioned resid norm 1.876208896020e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.876208896020e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.566896137837e+00 true resid 
norm 6.914905383075e-01 ||Ae||/||Ax|| 6.914905383075e-01
       1 KSP preconditioned resid norm 1.566896137837e+00 true resid 
norm 6.914905383075e-01 ||Ae||/||Ax|| 6.914905383075e-01
    58 KSP preconditioned resid norm 1.207891841472e-09 true resid norm 
1.207891841440e-09 ||Ae||/||Ax|| 2.064447513440e-04
       0 KSP preconditioned resid norm 2.297261201903e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.297261201903e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.961454513785e+00 true resid 
norm 7.361082716350e-01 ||Ae||/||Ax|| 7.361082716350e-01
       1 KSP preconditioned resid norm 1.961454513785e+00 true resid 
norm 7.361082716350e-01 ||Ae||/||Ax|| 7.361082716350e-01
    59 KSP preconditioned resid norm 1.016539279879e-09 true resid norm 
1.016539279925e-09 ||Ae||/||Ax|| 1.737400582368e-04
       0 KSP preconditioned resid norm 3.254668263088e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.254668263088e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.640547979130e+00 true resid 
norm 7.473445815641e-01 ||Ae||/||Ax|| 7.473445815641e-01
       1 KSP preconditioned resid norm 1.640547979130e+00 true resid 
norm 7.473445815641e-01 ||Ae||/||Ax|| 7.473445815641e-01
    60 KSP preconditioned resid norm 8.558459393246e-10 true resid norm 
8.558459393246e-10 ||Ae||/||Ax|| 1.462754330073e-04
       0 KSP preconditioned resid norm 3.699188433787e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.699188433787e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 3.641405579973e+00 true resid 
norm 9.275791982055e-01 ||Ae||/||Ax|| 9.275791982055e-01
       1 KSP preconditioned resid norm 3.641405579973e+00 true resid 
norm 9.275791982055e-01 ||Ae||/||Ax|| 9.275791982055e-01
    61 KSP preconditioned resid norm 7.891395315495e-10 true resid norm 
7.891395315494e-10 ||Ae||/||Ax|| 1.348744223425e-04
       0 KSP preconditioned resid norm 2.675881805310e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.675881805310e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.453713947810e+00 true resid 
norm 7.138367623914e-01 ||Ae||/||Ax|| 7.138367623914e-01
       1 KSP preconditioned resid norm 1.453713947810e+00 true resid 
norm 7.138367623914e-01 ||Ae||/||Ax|| 7.138367623914e-01
    62 KSP preconditioned resid norm 7.510552985484e-10 true resid norm 
7.510552985213e-10 ||Ae||/||Ax|| 1.283653213221e-04
       0 KSP preconditioned resid norm 1.338840353148e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.338840353148e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.146220467265e+00 true resid 
norm 4.297177669038e-01 ||Ae||/||Ax|| 4.297177669038e-01
       1 KSP preconditioned resid norm 1.146220467265e+00 true resid 
norm 4.297177669038e-01 ||Ae||/||Ax|| 4.297177669038e-01
    63 KSP preconditioned resid norm 6.832740701908e-10 true resid norm 
6.832740702025e-10 ||Ae||/||Ax|| 1.167806095574e-04
       0 KSP preconditioned resid norm 2.478031412327e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.478031412327e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.547561676965e+00 true resid 
norm 7.067319359604e-01 ||Ae||/||Ax|| 7.067319359604e-01
       1 KSP preconditioned resid norm 1.547561676965e+00 true resid 
norm 7.067319359604e-01 ||Ae||/||Ax|| 7.067319359604e-01
    64 KSP preconditioned resid norm 6.312416928849e-10 true resid norm 
6.312416928420e-10 ||Ae||/||Ax|| 1.078875854989e-04
       0 KSP preconditioned resid norm 2.510304348429e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.510304348429e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.470709935588e+00 true resid 
norm 6.572137642951e-01 ||Ae||/||Ax|| 6.572137642951e-01
       1 KSP preconditioned resid norm 1.470709935588e+00 true resid 
norm 6.572137642951e-01 ||Ae||/||Ax|| 6.572137642951e-01
    65 KSP preconditioned resid norm 5.327354965414e-10 true resid norm 
5.327354965097e-10 ||Ae||/||Ax|| 9.105156880435e-05
       0 KSP preconditioned resid norm 2.476662569003e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.476662569003e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.310145576275e+00 true resid 
norm 6.408918975397e-01 ||Ae||/||Ax|| 6.408918975397e-01
       1 KSP preconditioned resid norm 2.310145576275e+00 true resid 
norm 6.408918975397e-01 ||Ae||/||Ax|| 6.408918975397e-01
    66 KSP preconditioned resid norm 4.469580732178e-10 true resid norm 
4.469580732741e-10 ||Ae||/||Ax|| 7.639106841575e-05
       0 KSP preconditioned resid norm 3.243520644840e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.243520644840e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.732155047053e+00 true resid 
norm 7.812059837441e-01 ||Ae||/||Ax|| 7.812059837441e-01
       1 KSP preconditioned resid norm 2.732155047053e+00 true resid 
norm 7.812059837441e-01 ||Ae||/||Ax|| 7.812059837441e-01
    67 KSP preconditioned resid norm 4.087445950732e-10 true resid norm 
4.087445950372e-10 ||Ae||/||Ax|| 6.985987767337e-05
       0 KSP preconditioned resid norm 4.570320195732e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.570320195732e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.087601985141e+00 true resid 
norm 1.032266974836e+00 ||Ae||/||Ax|| 1.032266974836e+00
       1 KSP preconditioned resid norm 2.087601985141e+00 true resid 
norm 1.032266974836e+00 ||Ae||/||Ax|| 1.032266974836e+00
    68 KSP preconditioned resid norm 3.841153386650e-10 true resid norm 
3.841153386559e-10 ||Ae||/||Ax|| 6.565041078654e-05
       0 KSP preconditioned resid norm 5.718860667569e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 5.718860667569e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.709934079219e+00 true resid 
norm 1.273174095131e+00 ||Ae||/||Ax|| 1.273174095131e+00
       1 KSP preconditioned resid norm 1.709934079219e+00 true resid 
norm 1.273174095131e+00 ||Ae||/||Ax|| 1.273174095131e+00
    69 KSP preconditioned resid norm 3.520264512665e-10 true resid norm 
3.520264512287e-10 ||Ae||/||Ax|| 6.016599392193e-05
       0 KSP preconditioned resid norm 4.537109521149e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.537109521149e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.937349360261e+00 true resid 
norm 1.046686001054e+00 ||Ae||/||Ax|| 1.046686001054e+00
       1 KSP preconditioned resid norm 1.937349360261e+00 true resid 
norm 1.046686001054e+00 ||Ae||/||Ax|| 1.046686001054e+00
    70 KSP preconditioned resid norm 3.149991658898e-10 true resid norm 
3.149991658892e-10 ||Ae||/||Ax|| 5.383753929329e-05
       0 KSP preconditioned resid norm 3.602956988994e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.602956988994e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.093057977304e+00 true resid 
norm 9.252238178106e-01 ||Ae||/||Ax|| 9.252238178106e-01
       1 KSP preconditioned resid norm 2.093057977304e+00 true resid 
norm 9.252238178106e-01 ||Ae||/||Ax|| 9.252238178106e-01
    71 KSP preconditioned resid norm 2.993160400510e-10 true resid norm 
2.993160400417e-10 ||Ae||/||Ax|| 5.115708488107e-05
       0 KSP preconditioned resid norm 3.336754379842e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.336754379842e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.284284263997e+00 true resid 
norm 8.760668211902e-01 ||Ae||/||Ax|| 8.760668211902e-01
       1 KSP preconditioned resid norm 1.284284263997e+00 true resid 
norm 8.760668211902e-01 ||Ae||/||Ax|| 8.760668211902e-01
    72 KSP preconditioned resid norm 2.895591295761e-10 true resid norm 
2.895591295591e-10 ||Ae||/||Ax|| 4.948949934951e-05
       0 KSP preconditioned resid norm 2.267067098558e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.267067098558e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.534973699953e-01 true resid 
norm 7.726740440864e-01 ||Ae||/||Ax|| 7.726740440864e-01
       1 KSP preconditioned resid norm 8.534973699953e-01 true resid 
norm 7.726740440864e-01 ||Ae||/||Ax|| 7.726740440864e-01
    73 KSP preconditioned resid norm 2.812425874590e-10 true resid norm 
2.812425874308e-10 ||Ae||/||Ax|| 4.806809189165e-05
       0 KSP preconditioned resid norm 1.144552955812e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.144552955812e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 6.664517534844e-01 true resid 
norm 6.421695318305e-01 ||Ae||/||Ax|| 6.421695318305e-01
       1 KSP preconditioned resid norm 6.664517534844e-01 true resid 
norm 6.421695318305e-01 ||Ae||/||Ax|| 6.421695318305e-01
    74 KSP preconditioned resid norm 2.735484153434e-10 true resid norm 
2.735484153084e-10 ||Ae||/||Ax|| 4.675305573021e-05
       0 KSP preconditioned resid norm 1.554702841568e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.554702841568e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 7.157380114110e-01 true resid 
norm 7.377660147515e-01 ||Ae||/||Ax|| 7.377660147515e-01
       1 KSP preconditioned resid norm 7.157380114110e-01 true resid 
norm 7.377660147515e-01 ||Ae||/||Ax|| 7.377660147515e-01
    75 KSP preconditioned resid norm 2.661574205602e-10 true resid norm 
2.661574205227e-10 ||Ae||/||Ax|| 4.548983660049e-05
       0 KSP preconditioned resid norm 4.199331451693e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 4.199331451693e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 7.261245258089e-01 true resid 
norm 9.689217434547e-01 ||Ae||/||Ax|| 9.689217434547e-01
       1 KSP preconditioned resid norm 7.261245258089e-01 true resid 
norm 9.689217434547e-01 ||Ae||/||Ax|| 9.689217434547e-01
    76 KSP preconditioned resid norm 2.534998275631e-10 true resid norm 
2.534998275209e-10 ||Ae||/||Ax|| 4.332648591775e-05
       0 KSP preconditioned resid norm 3.743395182510e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.743395182510e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.990417749799e-01 true resid 
norm 9.329106139559e-01 ||Ae||/||Ax|| 9.329106139559e-01
       1 KSP preconditioned resid norm 8.990417749799e-01 true resid 
norm 9.329106139559e-01 ||Ae||/||Ax|| 9.329106139559e-01
    77 KSP preconditioned resid norm 2.388049684536e-10 true resid norm 
2.388049684532e-10 ||Ae||/||Ax|| 4.081493941813e-05
       0 KSP preconditioned resid norm 1.894155910280e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.894155910280e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.684190700742e-01 true resid 
norm 7.727740370555e-01 ||Ae||/||Ax|| 7.727740370555e-01
       1 KSP preconditioned resid norm 8.684190700742e-01 true resid 
norm 7.727740370555e-01 ||Ae||/||Ax|| 7.727740370555e-01
    78 KSP preconditioned resid norm 2.286512776556e-10 true resid norm 
2.286512776733e-10 ||Ae||/||Ax|| 3.907953886624e-05
       0 KSP preconditioned resid norm 1.276207551837e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.276207551837e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 5.355779104233e-01 true resid 
norm 5.278462128508e-01 ||Ae||/||Ax|| 5.278462128508e-01
       1 KSP preconditioned resid norm 5.355779104233e-01 true resid 
norm 5.278462128508e-01 ||Ae||/||Ax|| 5.278462128508e-01
    79 KSP preconditioned resid norm 2.074225711250e-10 true resid norm 
2.074225711493e-10 ||Ae||/||Ax|| 3.545127109477e-05
       0 KSP preconditioned resid norm 1.200062868567e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.200062868567e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 6.893976477109e-01 true resid 
norm 6.184761860600e-01 ||Ae||/||Ax|| 6.184761860600e-01
       1 KSP preconditioned resid norm 6.893976477109e-01 true resid 
norm 6.184761860600e-01 ||Ae||/||Ax|| 6.184761860600e-01
    80 KSP preconditioned resid norm 1.878908772984e-10 true resid norm 
1.878908773103e-10 ||Ae||/||Ax|| 3.211304532026e-05
       0 KSP preconditioned resid norm 1.387129119694e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.387129119694e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.742548405622e-01 true resid 
norm 6.169338830681e-01 ||Ae||/||Ax|| 6.169338830681e-01
       1 KSP preconditioned resid norm 8.742548405622e-01 true resid 
norm 6.169338830681e-01 ||Ae||/||Ax|| 6.169338830681e-01
    81 KSP preconditioned resid norm 1.720957363240e-10 true resid norm 
1.720957363027e-10 ||Ae||/||Ax|| 2.941344603009e-05
       0 KSP preconditioned resid norm 1.602115661552e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.602115661552e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.392172521059e-01 true resid 
norm 6.206948554932e-01 ||Ae||/||Ax|| 6.206948554932e-01
       1 KSP preconditioned resid norm 8.392172521059e-01 true resid 
norm 6.206948554932e-01 ||Ae||/||Ax|| 6.206948554932e-01
    82 KSP preconditioned resid norm 1.584755992063e-10 true resid norm 
1.584755991999e-10 ||Ae||/||Ax|| 2.708558378201e-05
       0 KSP preconditioned resid norm 1.601197866084e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.601197866084e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 8.359479912386e-01 true resid 
norm 6.119059337506e-01 ||Ae||/||Ax|| 6.119059337506e-01
       1 KSP preconditioned resid norm 8.359479912386e-01 true resid 
norm 6.119059337506e-01 ||Ae||/||Ax|| 6.119059337506e-01
    83 KSP preconditioned resid norm 1.418702609113e-10 true resid norm 
1.418702608829e-10 ||Ae||/||Ax|| 2.424751101569e-05
       0 KSP preconditioned resid norm 1.499465989768e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.499465989768e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.045754716297e+00 true resid 
norm 6.153015126718e-01 ||Ae||/||Ax|| 6.153015126718e-01
       1 KSP preconditioned resid norm 1.045754716297e+00 true resid 
norm 6.153015126718e-01 ||Ae||/||Ax|| 6.153015126718e-01
    84 KSP preconditioned resid norm 1.271329562402e-10 true resid norm 
1.271329562130e-10 ||Ae||/||Ax|| 2.172870999918e-05
       0 KSP preconditioned resid norm 1.634503776014e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 1.634503776014e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.222338373864e+00 true resid 
norm 6.558960123395e-01 ||Ae||/||Ax|| 6.558960123395e-01
       1 KSP preconditioned resid norm 1.222338373864e+00 true resid 
norm 6.558960123395e-01 ||Ae||/||Ax|| 6.558960123395e-01
    85 KSP preconditioned resid norm 1.170830928689e-10 true resid norm 
1.170830928467e-10 ||Ae||/||Ax|| 2.001105493065e-05
       0 KSP preconditioned resid norm 2.189478982761e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.189478982761e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.257863289529e+00 true resid 
norm 5.975673409262e-01 ||Ae||/||Ax|| 5.975673409262e-01
       1 KSP preconditioned resid norm 1.257863289529e+00 true resid 
norm 5.975673409262e-01 ||Ae||/||Ax|| 5.975673409262e-01
    86 KSP preconditioned resid norm 1.072794488701e-10 true resid norm 
1.072794488559e-10 ||Ae||/||Ax|| 1.833548202211e-05
       0 KSP preconditioned resid norm 3.043239239438e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 3.043239239438e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 1.508125411857e+00 true resid 
norm 5.316504517748e-01 ||Ae||/||Ax|| 5.316504517748e-01
       1 KSP preconditioned resid norm 1.508125411857e+00 true resid 
norm 5.316504517748e-01 ||Ae||/||Ax|| 5.316504517748e-01
    87 KSP preconditioned resid norm 9.310419868753e-11 true resid norm 
9.310419867003e-11 ||Ae||/||Ax|| 1.591274357860e-05
       0 KSP preconditioned resid norm 2.707043890291e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.707043890291e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.156895340838e+00 true resid 
norm 6.565618094970e-01 ||Ae||/||Ax|| 6.565618094970e-01
       1 KSP preconditioned resid norm 2.156895340838e+00 true resid 
norm 6.565618094970e-01 ||Ae||/||Ax|| 6.565618094970e-01
    88 KSP preconditioned resid norm 7.852841829285e-11 true resid norm 
7.852841828475e-11 ||Ae||/||Ax|| 1.342154920668e-05
       0 KSP preconditioned resid norm 2.582289916941e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.582289916941e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.382288228383e+00 true resid 
norm 6.422921135312e-01 ||Ae||/||Ax|| 6.422921135312e-01
       1 KSP preconditioned resid norm 2.382288228383e+00 true resid 
norm 6.422921135312e-01 ||Ae||/||Ax|| 6.422921135312e-01
    89 KSP preconditioned resid norm 6.494099865988e-11 true resid norm 
6.494099869486e-11 ||Ae||/||Ax|| 1.109927881590e-05
       0 KSP preconditioned resid norm 2.588940215193e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       0 KSP preconditioned resid norm 2.588940215193e+00 true resid 
norm 1.000000000000e+00 ||Ae||/||Ax|| 1.000000000000e+00
       1 KSP preconditioned resid norm 2.412871891541e+00 true resid 
norm 6.483026287919e-01 ||Ae||/||Ax|| 6.483026287919e-01
       1 KSP preconditioned resid norm 2.412871891541e+00 true resid 
norm 6.483026287919e-01 ||Ae||/||Ax|| 6.483026287919e-01
    90 KSP preconditioned resid norm 5.586819688621e-11 true resid norm 
5.586819689526e-11 ||Ae||/||Ax|| 9.548616540312e-06
   2 SNES Function norm 5.587280798316e-11
SNES Object:
   type: ls
     line search variant: SNESLineSearchCubic
     alpha=0.0001, maxstep=1e+08, minlambda=1e-12
   maximum iterations=50, maximum function evaluations=10000
   tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
   total number of linear solver iterations=107
   total number of function evaluations=3
   KSP Object:
     type: fgmres
       GMRES: restart=30, using Classical (unmodified) Gram-Schmidt 
Orthogonalization with no iterative refinement
       GMRES: happy breakdown tolerance 1e-30
     maximum iterations=10000, initial guess is zero
     tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
     right preconditioning
   PC Object:
     type: mg
       MG: type is FULL, levels=1 cycles=v
     Coarse gride solver -- level 0 presmooths=1 postsmooths=1 -----
       KSP Object:(mg_levels_0_)
         type: gmres
           GMRES: restart=30, using Classical (unmodified) Gram-Schmidt 
Orthogonalization with no iterative refinement
           GMRES: happy breakdown tolerance 1e-30
         maximum iterations=1, initial guess is zero
         tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
         left preconditioning
       PC Object:(mg_levels_0_)
         type: ilu
           ILU: 0 levels of fill
           ILU: factor fill ratio allocated 1
           ILU: tolerance for zero pivot 1e-12
           ILU: using diagonal shift to prevent zero pivot
           ILU: using diagonal shift on blocks to prevent zero pivot
                out-of-place factorization
                matrix ordering: natural
           ILU: factor fill ratio needed 1
                Factored matrix follows
               Matrix Object:
                 type=seqaij, rows=39366, cols=39366
                 package used to perform factorization: petsc
                 total: nonzeros=2125764, allocated nonzeros=2125764
                   using I-node routines: found 19683 nodes, limit used is 5
         linear system matrix = precond matrix:
         Matrix Object:
           type=seqaij, rows=39366, cols=39366
           total: nonzeros=2125764, allocated nonzeros=2125764
             using I-node routines: found 19683 nodes, limit used is 5
     linear system matrix = precond matrix:
     Matrix Object:
       type=seqaij, rows=39366, cols=39366
       total: nonzeros=2125764, allocated nonzeros=2125764
         using I-node routines: found 19683 nodes, limit used is 5

Thanks again,
Hal




Barry Smith wrote:
> 
>   Please run with
> 
> -ksp_monitor_true_residual -snes_monitor 
> -mg_levels_ksp_monitor_true_residua -mg_coarse_ksp_type gmres 
> -mg_coarse_ksp_monitor_true_residual -snes_view
> 
> and send the output for one time-step.
> 
>    Barry
> 
> 
> On Aug 26, 2009, at 2:34 PM, Hal Finkel wrote:
> 
>> Hello,
>>
>> I've constructed a evolution scheme for a time-dependent 3D PDE system 
>> using the DMMG layer. The core of the code is essentially a loop 
>> around DMMGSolve in the spirit of snes/examples/tutorials/ex29.c. If I 
>> only run with one level, then the code runs and produces sensible 
>> results. Passing the option -mg_levels_0_ksp_type bcgsl increases the 
>> solver speed by about 30%, and -mg_levels_0_pc_type fieldsplit gives 
>> me another 5% improvement. Does that say something about the structure 
>> of my problem?
>>
>> If I run with two levels, the coarse solve seems to work, but the fine 
>> grid's KSP never seems to complete. If I run with 
>> -mg_levels_1_ksp_monitor_true_residual, I can see the residual does 
>> not seem to be converging at all:
>>
>>      0 KSP preconditioned resid norm 1.979915874387e+02 true resid 
>> norm 1.889855551272e+04 ||Ae||/||Ax|| 1.889855551272e+04
>>      0 KSP preconditioned resid norm 3.833279709488e+06 true resid 
>> norm 3.665290817713e+08 ||Ae||/||Ax|| 3.665290817713e+08
>>      0 KSP preconditioned resid norm 5.080465654647e+01 true resid 
>> norm 8.284057252719e+03 ||Ae||/||Ax|| 8.284057252719e+03
>>      1 KSP preconditioned resid norm 6.057649668915e+00 true resid 
>> norm 5.136009463814e+02 ||Ae||/||Ax|| 5.136009463814e+02
>>      0 KSP preconditioned resid norm 5.511785811223e+04 true resid 
>> norm 1.055162492334e+07 ||Ae||/||Ax|| 1.055162492334e+07
>>      0 KSP preconditioned resid norm 2.164672340919e+01 true resid 
>> norm 2.999406329054e+04 ||Ae||/||Ax|| 2.999406329054e+04
>>      0 KSP preconditioned resid norm 5.275983407134e+05 true resid 
>> norm 9.196351032040e+08 ||Ae||/||Ax|| 9.196351032040e+08
>>      0 KSP preconditioned resid norm 3.338344860439e+01 true resid 
>> norm 5.133553722923e+03 ||Ae||/||Ax|| 5.133553722923e+03
>>      1 KSP preconditioned resid norm 4.306407436023e+00 true resid 
>> norm 3.361745947223e+02 ||Ae||/||Ax|| 3.361745947223e+02
>> ...
>>
>> If I run with -pc_mg_monitor I see, after the course solve, only 
>> things like:
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 1.979915874387e+02
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 3.833279709488e+06
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 5.080465654647e+01
>>    1 KSP Residual norm 6.057649668915e+00
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 5.511785811223e+04
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 2.164672340919e+01
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 5.275983407134e+05
>>    Residual norms for mg_levels_1_ solve.
>>    0 KSP Residual norm 3.338344860439e+01
>>    1 KSP Residual norm 4.306407436023e+00
>> ...
>>
>> running with -info shows:
>> [0] KSPDefaultConverged(): user has provided nonzero initial guess, 
>> computing 2-norm of preconditioned RHS
>> [0] KSPDefaultConverged(): Linear solver is diverging. Initial right 
>> hand size norm 0.0066162, current residual norm 23282.7 at iteration 0
>> [0] KSPDefaultConverged(): user has provided nonzero initial guess, 
>> computing 2-norm of preconditioned RHS
>> [0] KSPDefaultConverged(): Linear solver is diverging. Initial right 
>> hand size norm 0.00287711, current residual norm 38.2205 at iteration 0
>> [0] KSPDefaultConverged(): user has provided nonzero initial guess, 
>> computing 2-norm of preconditioned RHS
>> [0] KSPDefaultConverged(): Linear solver is diverging. Initial right 
>> hand size norm 0.00287711, current residual norm 809191 at iteration 0
>> [0] KSPDefaultConverged(): user has provided nonzero initial guess, 
>> computing 2-norm of preconditioned RHS
>> [0] KSPDefaultConverged(): Linear solver is diverging. Initial right 
>> hand size norm 0.00970186, current residual norm 186.983 at iteration 0
>> [0] KSPDefaultConverged(): user has provided nonzero initial guess, 
>> computing 2-norm of preconditioned RHS
>> [0] KSPDefaultConverged(): Linear solver is diverging. Initial right 
>> hand size norm 0.00970186, current residual norm 3.62292e+06 at 
>> iteration 0
>>
>> What is a good way to debug this?
>>
>> No matter how I run, I've arranged the code so that the fine grid is 
>> *always* the same size; it has to be because the initial conditions 
>> are loaded from a file.
>>
>> In general, however, I don't understand exactly what the mg 
>> preconditioner is doing. Is there a writeup somewhere which is more 
>> verbose than the manual? In the one-level case, how are the results of 
>> the solve used to precondition the Jacobian?
>>
>> In an 1-processor, 1-level case, running with -snes_view gives:
>> SNES Object:
>>  type: ls
>>    line search variant: SNESLineSearchCubic
>>    alpha=0.0001, maxstep=1e+08, minlambda=1e-12
>>  maximum iterations=50, maximum function evaluations=10000
>>  tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
>>  total number of linear solver iterations=36
>>  total number of function evaluations=3
>>  KSP Object:
>>    type: fgmres
>>      GMRES: restart=30, using Classical (unmodified) Gram-Schmidt 
>> Orthogonalization with no iterative refinement
>>      GMRES: happy breakdown tolerance 1e-30
>>    maximum iterations=10000, initial guess is zero
>>    tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>    right preconditioning
>>  PC Object:
>>    type: mg
>>      MG: type is FULL, levels=1 cycles=v
>>    Coarse gride solver -- level 0 presmooths=1 postsmooths=1 -----
>>      KSP Object:(mg_levels_0_)
>>        type: bcgsl
>>          BCGSL: Ell = 2
>>          BCGSL: Delta = 0
>>        maximum iterations=1, initial guess is zero
>>        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>        left preconditioning
>>      PC Object:(mg_levels_0_)
>>        type: fieldsplit
>>          FieldSplit with MULTIPLICATIVE composition: total splits = 2, 
>> blocksize = 2
>>          Solver info for each split is in the following KSP objects:
>>          Split number 0 Fields  0
>>          KSP Object:(mg_levels_0_fieldsplit_0_)
>>            type: preonly
>>            maximum iterations=10000, initial guess is zero
>>            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>            left preconditioning
>>          PC Object:(mg_levels_0_fieldsplit_0_)
>>            type: ilu
>>              ILU: 0 levels of fill
>>              ILU: factor fill ratio allocated 1
>>              ILU: tolerance for zero pivot 1e-12
>>              ILU: using diagonal shift to prevent zero pivot
>>              ILU: using diagonal shift on blocks to prevent zero pivot
>>                   out-of-place factorization
>>                   matrix ordering: natural
>>              ILU: factor fill ratio needed 1
>>                   Factored matrix follows
>>                  Matrix Object:
>>                    type=seqaij, rows=19683, cols=19683
>>                    package used to perform factorization: petsc
>>                    total: nonzeros=531441, allocated nonzeros=531441
>>                      not using I-node routines
>>            linear system matrix = precond matrix:
>>            Matrix Object:
>>              type=seqaij, rows=19683, cols=19683
>>              total: nonzeros=531441, allocated nonzeros=531441
>>                not using I-node routines
>>          Split number 1 Fields  1
>>          KSP Object:(mg_levels_0_fieldsplit_1_)
>>            type: preonly
>>            maximum iterations=10000, initial guess is zero
>>            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>            left preconditioning
>>          PC Object:(mg_levels_0_fieldsplit_1_)
>>            type: ilu
>>              ILU: 0 levels of fill
>>              ILU: factor fill ratio allocated 1
>>              ILU: tolerance for zero pivot 1e-12
>>              ILU: using diagonal shift to prevent zero pivot
>>              ILU: using diagonal shift on blocks to prevent zero pivot
>>                   out-of-place factorization
>>                   matrix ordering: natural
>>              ILU: factor fill ratio needed 1
>>                   Factored matrix follows
>>                  Matrix Object:
>>                    type=seqaij, rows=19683, cols=19683
>>                    package used to perform factorization: petsc
>>                    total: nonzeros=531441, allocated nonzeros=531441
>>                      not using I-node routines
>>            linear system matrix = precond matrix:
>>            Matrix Object:
>>              type=seqaij, rows=19683, cols=19683
>>              total: nonzeros=531441, allocated nonzeros=531441
>>                not using I-node routines
>>        linear system matrix = precond matrix:
>>        Matrix Object:
>>          type=seqaij, rows=39366, cols=39366
>>          total: nonzeros=2125764, allocated nonzeros=2125764
>>            using I-node routines: found 19683 nodes, limit used is 5
>>    linear system matrix = precond matrix:
>>    Matrix Object:
>>      type=seqaij, rows=39366, cols=39366
>>      total: nonzeros=2125764, allocated nonzeros=2125764
>>        using I-node routines: found 19683 nodes, limit used is 5
>>
>> Thank you in advance,
>> Hal


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