[petsc-users] negative grid complexity in GAMG
Mark Lohry
mlohry at gmail.com
Tue Oct 15 21:16:57 CDT 2019
I'm running some larger unsteady problems and trying to eek out some better
GAMG performance. As is, at very small time steps, ASM preconditioner with
ILU(0) is maybe 20% more efficient than my naive GAMG setup, which gives me
hope that some tuning of GAMG can give some advantage. Convergence overall
seems quite good, and light years better than ASM/ILU at larger time steps.
So looking through the manual and see a note that "grid complexity should
be well under 2.0 and preferably around 1.3 or lower". I check ksp_view and
see:
Complexity: grid = -40.5483
Is something funny happening here?
Pasting whole -ksp_view below:
KSP Object: 1920 MPI processes
type: fgmres
restart=100, using Classical (unmodified) Gram-Schmidt
Orthogonalization with no iterative refinement
happy breakdown tolerance 1e-30
maximum iterations=30, initial guess is zero
tolerances: relative=0.0001, absolute=1e-06, divergence=10.
right preconditioning
using UNPRECONDITIONED norm type for convergence test
PC Object: 1920 MPI processes
type: gamg
type is MULTIPLICATIVE, levels=20 cycles=v
Cycles per PCApply=1
Using externally compute Galerkin coarse grid matrices
GAMG specific options
Threshold for dropping small values in graph on each level = 0.
0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.
0. 0.
Threshold scaling factor for each level not specified = 1.
AGG specific options
Symmetric graph false
Number of levels to square graph 1
Number smoothing steps 0
Complexity: grid = -40.5483
Coarse grid solver -- level -------------------------------
KSP Object: (mg_coarse_) 1920 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_coarse_) 1920 MPI processes
type: bjacobi
number of blocks = 1920
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_coarse_sub_) 1 MPI processes
type: preonly
maximum iterations=1, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_coarse_sub_) 1 MPI processes
type: lu
out-of-place factorization
tolerance for zero pivot 2.22045e-14
using diagonal shift on blocks to prevent zero pivot [INBLOCKS]
matrix ordering: nd
factor fill ratio given 5., needed 1.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=15, cols=15, bs=5
package used to perform factorization: petsc
total: nonzeros=175, allocated nonzeros=175
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 3 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=15, cols=15, bs=5
total: nonzeros=175, allocated nonzeros=175
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 3 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=15, cols=15, bs=5
total: nonzeros=175, allocated nonzeros=175
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 3 nodes, limit used
is 5
Down solver (pre-smoother) on level 1 -------------------------------
KSP Object: (mg_levels_1_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_1_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_1_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_1_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=4240, cols=4240
package used to perform factorization: petsc
total: nonzeros=64800, allocated nonzeros=64800
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 848 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=4240, cols=4240
package used to perform factorization: petsc
total: nonzeros=64800, allocated nonzeros=64800
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 848 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=4240, cols=4240, bs=5
total: nonzeros=64800, allocated nonzeros=64800
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 848 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 2 -------------------------------
KSP Object: (mg_levels_2_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_2_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_2_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_2_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=4260, cols=4260
package used to perform factorization: petsc
total: nonzeros=65200, allocated nonzeros=65200
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 852 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=4260, cols=4260
package used to perform factorization: petsc
total: nonzeros=65200, allocated nonzeros=65200
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 852 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=4260, cols=4260, bs=5
total: nonzeros=65200, allocated nonzeros=65200
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 852 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 3 -------------------------------
KSP Object: (mg_levels_3_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_3_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_3_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_3_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=5440, cols=5440
package used to perform factorization: petsc
total: nonzeros=90950, allocated nonzeros=90950
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1088 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=5440, cols=5440
package used to perform factorization: petsc
total: nonzeros=90950, allocated nonzeros=90950
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1088 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=5440, cols=5440, bs=5
total: nonzeros=90950, allocated nonzeros=90950
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 1088 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 4 -------------------------------
KSP Object: (mg_levels_4_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_4_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_4_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_4_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=5485, cols=5485
package used to perform factorization: petsc
total: nonzeros=93075, allocated nonzeros=93075
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1097 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=5485, cols=5485
package used to perform factorization: petsc
total: nonzeros=93075, allocated nonzeros=93075
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1097 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=5485, cols=5485, bs=5
total: nonzeros=93075, allocated nonzeros=93075
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 1097 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 5 -------------------------------
KSP Object: (mg_levels_5_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_5_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_5_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_5_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=5685, cols=5685
package used to perform factorization: petsc
total: nonzeros=98925, allocated nonzeros=98925
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1137 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=5685, cols=5685
package used to perform factorization: petsc
total: nonzeros=98925, allocated nonzeros=98925
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1137 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=5685, cols=5685, bs=5
total: nonzeros=98925, allocated nonzeros=98925
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 1137 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 6 -------------------------------
KSP Object: (mg_levels_6_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_6_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_6_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_6_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=5825, cols=5825
package used to perform factorization: petsc
total: nonzeros=102325, allocated nonzeros=102325
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1165 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=5825, cols=5825
package used to perform factorization: petsc
total: nonzeros=102325, allocated nonzeros=102325
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1165 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=5825, cols=5825, bs=5
total: nonzeros=102325, allocated nonzeros=102325
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 1165 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 7 -------------------------------
KSP Object: (mg_levels_7_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_7_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_7_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_7_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=5925, cols=5925
package used to perform factorization: petsc
total: nonzeros=104925, allocated nonzeros=104925
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1185 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=5925, cols=5925
package used to perform factorization: petsc
total: nonzeros=104925, allocated nonzeros=104925
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1185 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=5925, cols=5925, bs=5
total: nonzeros=104925, allocated nonzeros=104925
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 1185 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 8 -------------------------------
KSP Object: (mg_levels_8_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_8_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_8_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_8_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=6050, cols=6050
package used to perform factorization: petsc
total: nonzeros=110200, allocated nonzeros=110200
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1210 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=6050, cols=6050
package used to perform factorization: petsc
total: nonzeros=110200, allocated nonzeros=110200
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1210 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=6050, cols=6050, bs=5
total: nonzeros=110200, allocated nonzeros=110200
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 1210 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 9 -------------------------------
KSP Object: (mg_levels_9_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_9_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_9_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_9_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=6890, cols=6890
package used to perform factorization: petsc
total: nonzeros=153200, allocated nonzeros=153200
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1378 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=6890, cols=6890
package used to perform factorization: petsc
total: nonzeros=153200, allocated nonzeros=153200
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1378 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=6890, cols=6890, bs=5
total: nonzeros=153200, allocated nonzeros=153200
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 1378 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 10 -------------------------------
KSP Object: (mg_levels_10_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_10_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_10_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_10_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=7395, cols=7395
package used to perform factorization: petsc
total: nonzeros=180025, allocated nonzeros=180025
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1479 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=7395, cols=7395
package used to perform factorization: petsc
total: nonzeros=180025, allocated nonzeros=180025
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1479 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=7395, cols=7395, bs=5
total: nonzeros=180025, allocated nonzeros=180025
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 1479 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 11 -------------------------------
KSP Object: (mg_levels_11_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_11_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_11_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_11_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=8960, cols=8960
package used to perform factorization: petsc
total: nonzeros=259800, allocated nonzeros=259800
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1792 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=8960, cols=8960
package used to perform factorization: petsc
total: nonzeros=259800, allocated nonzeros=259800
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 1792 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=8960, cols=8960, bs=5
total: nonzeros=259800, allocated nonzeros=259800
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 1792 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 12 -------------------------------
KSP Object: (mg_levels_12_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_12_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_12_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_12_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=1795, cols=1795
package used to perform factorization: petsc
total: nonzeros=33275, allocated nonzeros=33275
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 359 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=1795, cols=1795
package used to perform factorization: petsc
total: nonzeros=33275, allocated nonzeros=33275
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 359 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=11825, cols=11825, bs=5
total: nonzeros=403125, allocated nonzeros=403125
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 359 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 13 -------------------------------
KSP Object: (mg_levels_13_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_13_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_13_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_13_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=340, cols=340
package used to perform factorization: petsc
total: nonzeros=3500, allocated nonzeros=3500
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 68 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=340, cols=340
package used to perform factorization: petsc
total: nonzeros=3500, allocated nonzeros=3500
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 68 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=17210, cols=17210, bs=5
total: nonzeros=696850, allocated nonzeros=696850
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 68 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 14 -------------------------------
KSP Object: (mg_levels_14_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_14_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_14_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_14_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=125, cols=125
package used to perform factorization: petsc
total: nonzeros=625, allocated nonzeros=625
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 25 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=125, cols=125
package used to perform factorization: petsc
total: nonzeros=625, allocated nonzeros=625
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 25 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=29055, cols=29055, bs=5
total: nonzeros=1475675, allocated nonzeros=1475675
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 25 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 15 -------------------------------
KSP Object: (mg_levels_15_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_15_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_15_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_15_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=45, cols=45
package used to perform factorization: petsc
total: nonzeros=225, allocated nonzeros=225
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 9 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=45, cols=45
package used to perform factorization: petsc
total: nonzeros=225, allocated nonzeros=225
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 9 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=62935, cols=62935, bs=5
total: nonzeros=3939025, allocated nonzeros=3939025
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 9 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 16 -------------------------------
KSP Object: (mg_levels_16_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_16_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_16_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_16_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=55, cols=55
package used to perform factorization: petsc
total: nonzeros=725, allocated nonzeros=725
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 11 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=55, cols=55
package used to perform factorization: petsc
total: nonzeros=725, allocated nonzeros=725
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 11 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=205010, cols=205010, bs=5
total: nonzeros=14780300, allocated nonzeros=14780300
total number of mallocs used during MatSetValues calls =0
using scalable MatPtAP() implementation
using I-node (on process 0) routines: found 11 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 17 -------------------------------
KSP Object: (mg_levels_17_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_17_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_17_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_17_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=360, cols=360
package used to perform factorization: petsc
total: nonzeros=14350, allocated nonzeros=14350
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 72 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=360, cols=360
package used to perform factorization: petsc
total: nonzeros=14350, allocated nonzeros=14350
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 72 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=921310, cols=921310, bs=5
total: nonzeros=63203300, allocated nonzeros=63203300
total number of mallocs used during MatSetValues calls =0
using scalable MatPtAP() implementation
using I-node (on process 0) routines: found 72 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 18 -------------------------------
KSP Object: (mg_levels_18_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_18_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_18_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_18_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=2130, cols=2130
package used to perform factorization: petsc
total: nonzeros=87950, allocated nonzeros=87950
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 426 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=2130, cols=2130
package used to perform factorization: petsc
total: nonzeros=87950, allocated nonzeros=87950
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 426 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1920 MPI processes
type: mpiaij
rows=4473930, cols=4473930, bs=5
total: nonzeros=232427300, allocated nonzeros=232427300
total number of mallocs used during MatSetValues calls =0
using nonscalable MatPtAP() implementation
using I-node (on process 0) routines: found 426 nodes, limit used
is 5
Up solver (post-smoother) same as down solver (pre-smoother)
Down solver (pre-smoother) on level 19 -------------------------------
KSP Object: (mg_levels_19_) 1920 MPI processes
type: richardson
damping factor=1.
maximum iterations=1, nonzero initial guess
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_19_) 1920 MPI processes
type: asm
total subdomain blocks = 1920, amount of overlap = 0
restriction/interpolation type - RESTRICT
Local solve is same for all blocks, in the following KSP and PC
objects:
KSP Object: (mg_levels_19_sub_) 1 MPI processes
type: preonly
maximum iterations=10000, initial guess is zero
tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
left preconditioning
using NONE norm type for convergence test
PC Object: (mg_levels_19_sub_) 1 MPI processes
type: ilu
in-place factorization
0 levels of fill
tolerance for zero pivot 2.22045e-14
matrix ordering: natural
factor fill ratio given 0., needed 0.
Factored matrix follows:
Mat Object: 1 MPI processes
type: seqaij
rows=179050, cols=179050
package used to perform factorization: petsc
total: nonzeros=42562500, allocated nonzeros=42562500
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 35810 nodes, limit used is 5
linear system matrix = precond matrix:
Mat Object: 1 MPI processes
type: seqaij
rows=179050, cols=179050
package used to perform factorization: petsc
total: nonzeros=42562500, allocated nonzeros=42562500
total number of mallocs used during MatSetValues calls =0
using I-node routines: found 35810 nodes, limit used is 5
linear system matrix followed by preconditioner matrix:
Mat Object: 1920 MPI processes
type: mffd
rows=347149550, cols=347149550
Matrix-free approximation:
err=1.49012e-08 (relative error in function evaluation)
Using wp compute h routine
Does not compute normU
Mat Object: 1920 MPI processes
type: mpiaij
rows=347149550, cols=347149550, bs=5
total: nonzeros=86758607500, allocated nonzeros=86758607500
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 35810 nodes, limit
used is 5
Up solver (post-smoother) same as down solver (pre-smoother)
linear system matrix followed by preconditioner matrix:
Mat Object: 1920 MPI processes
type: mffd
rows=347149550, cols=347149550
Matrix-free approximation:
err=1.49012e-08 (relative error in function evaluation)
Using wp compute h routine
Does not compute normU
Mat Object: 1920 MPI processes
type: mpiaij
rows=347149550, cols=347149550, bs=5
total: nonzeros=86758607500, allocated nonzeros=86758607500
total number of mallocs used during MatSetValues calls =0
using I-node (on process 0) routines: found 35810 nodes, limit used
is 5
Line search: Using full step: fnorm 2.025875581923e+03 gnorm
2.801672254495e+00
1 SNES Function norm 2.801672254495e+00
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