[petsc-users] DIVERGED_NANORINF when using HYPRE/BoomerAMG
Matthew Knepley
knepley at gmail.com
Tue Jun 30 08:14:53 CDT 2020
On Tue, Jun 30, 2020 at 7:59 AM Andrea Iob <andrea_iob at hotmail.com> wrote:
> Hi,
>
> I'm trying to solve a linear system using HYPRE/BoomerAMG as
> preconditioner. The system comes from a two-dimensional adjoint
> Navier-Stokes problem.
>
Do you expect the system you are solving to be elliptic? BoomerAMG is
designed for elliptic systems, and can easily fail if applied
to a more general system, say one with zeros on the diagonal.
Thanks,
Matt
> The mesh is structured (6400 cells) and there are 24 DoFs for each cell
> (the matrix has a total of 153600 rows). The condition number of the matrix
> should be in the order of 1e9. Using ILU preconditioner and FGMRES, the
> system is correctly solved (it takes 800 iterations to reach a residual of
> 1e-12). However, replacing ILU with HYPRE/BoomerAMG, the solver stops right
> after the first iteration (DIVERGED_NANORINF). I've tried different
> BoomerAMG options and different solvers (including Richardson to use
> BoomerAMG without a Krylov method), but I always get the same
> DIVERGED_NANORINF error.
>
> Using the same HYPRE/BoomerAMG + FGMERS setup on another problem
> (Laplacian on a highly stretched grid), the solver reaches convergence very
> quickly without any problems.
>
> At the bottom of this mail, you'll find the log of a run that stops with
> DIVERGED_NANORINF. Do you spot something in my setup that may explain why
> the solver is not converging?
>
> Thanks. Best regards,
> Andrea
>
> -----------------------------------------
> Assembly started...
> Reading matrix file...
> - Number of rows (N) = 153600
> - Number of non-zero entries (NNZ) = 18247680
> Assembly completed.
> Time elapsed 83.3231s
> Set up started...
> Set up completed.
> Time elapsed 6.62441s
> Solution started...
> 0 KSP unpreconditioned resid norm 7.736650641501e-01 true resid norm
> 7.736650641501e-01 ||r(i)||/||b|| 1.000000000000e+00
> 0 KSP Residual norm 7.736650641501e-01 % max 1.000000000000e+00 min
> 1.000000000000e+00 max/min 1.000000000000e+00
> [0]PETSC ERROR: --------------------- Error Message
> --------------------------------------------------------------
> [0]PETSC ERROR:
> [0]PETSC ERROR: KSPSolve has not converged due to Nan or Inf inner product
> [0]PETSC ERROR: See http://www.mcs.anl.gov/petsc/documentation/faq.html
> for trouble shooting.
> [0]PETSC ERROR: Petsc Release Version 3.10.3, unknown
> [0]PETSC ERROR: bitpit_system_solver on a named xxx by xxx Tue Jun 30
> 09:42:09 2020
> [0]PETSC ERROR: Configure options PETSC_ARCH=arch-linux2-c-opt-gcc7-hypre
> --with-blaslapack-dir=/opt/lapack/3.8.0-gcc.7.4.0/lib64 --with-debugging=0
> COPTFLAGS=-O3 CXXOPTFLAGS=-O3 FOPTFLAGS=-O3 --with-valgrind=1
> --with-valgrind-dir=/opt/valgrind/3.14.0/
> --prefix=/opt/petsc/3.10.3_gcc-7.4.0 --with-mpi=1 --download-hypre
> [0]PETSC ERROR: #1 KSPGMRESClassicalGramSchmidtOrthogonalization() line 67
> in /root/InstallSources/petsc/src/ksp/ksp/impls/gmres/borthog2.c
> [0]PETSC ERROR: #2 KSPFGMRESCycle() line 175 in
> /root/InstallSources/petsc/src/ksp/ksp/impls/gmres/fgmres/fgmres.c
> [0]PETSC ERROR: #3 KSPSolve_FGMRES() line 291 in
> /root/InstallSources/petsc/src/ksp/ksp/impls/gmres/fgmres/fgmres.c
> [0]PETSC ERROR: #4 KSPSolve() line 780 in
> /root/InstallSources/petsc/src/ksp/ksp/interface/itfunc.c
> KSP Object: 1 MPI processes
> type: fgmres
> restart=45, using Classical (unmodified) Gram-Schmidt
> Orthogonalization with no iterative refinement
> happy breakdown tolerance 1e-30
> maximum iterations=10000, nonzero initial guess
> tolerances: relative=1e-12, absolute=1e-50, divergence=10000.
> right preconditioning
> using UNPRECONDITIONED norm type for convergence test
> PC Object: 1 MPI processes
> type: hypre
> HYPRE BoomerAMG preconditioning
> Cycle type V
> Maximum number of levels 25
> Maximum number of iterations PER hypre call 1
> Convergence tolerance PER hypre call 0.
> Threshold for strong coupling 0.7
> Interpolation truncation factor 0.3
> Interpolation: max elements per row 2
> Number of levels of aggressive coarsening 4
> Number of paths for aggressive coarsening 5
> Maximum row sums 0.9
> Sweeps down 1
> Sweeps up 1
> Sweeps on coarse 1
> Relax down sequential-Gauss-Seidel
> Relax up sequential-Gauss-Seidel
> Relax on coarse Gaussian-elimination
> Relax weight (all) 1.
> Outer relax weight (all) 1.
> Using CF-relaxation
> Smooth type Euclid
> Smooth num levels 25
> Euclid ILU(k) levels 0
> Euclid ILU(k) drop tolerance 0.
> Euclid ILU use Block-Jacobi? 1
> Measure type local
> Coarsen type HMIS
> Interpolation type ext+i
> linear system matrix = precond matrix:
> Mat Object: Mat_0x1e88040_0 1 MPI processes
> type: seqaij
> rows=153600, cols=153600, bs=24
> total: nonzeros=18247680, allocated nonzeros=18247680
> total number of mallocs used during MatSetValues calls =0
> using I-node routines: found 32000 nodes, limit used is 5
> Solution completed.
> Time elapsed 6.93336s
> Solution information...
> Error (L2) : 32.8359
> Error (Linf) : 1.93278
>
> ************************************************************************************************************************
> *** WIDEN YOUR WINDOW TO 120 CHARACTERS. Use 'enscript -r
> -fCourier9' to print this document ***
>
> ************************************************************************************************************************
>
> ---------------------------------------------- PETSc Performance Summary:
> ----------------------------------------------
>
> bitpit_system_solver on a named xxx with 1 processor, by xxx Tue Jun 30
> 09:43:46 2020
> Using Petsc Release Version 3.10.3, unknown
>
> Max Max/Min Avg Total
> Time (sec): 9.718e+01 1.000 9.718e+01
> Objects: 5.300e+01 1.000 5.300e+01
> Flop: 1.107e+08 1.000 1.107e+08 1.107e+08
> Flop/sec: 1.139e+06 1.000 1.139e+06 1.139e+06
> MPI Messages: 0.000e+00 0.000 0.000e+00 0.000e+00
> MPI Message Lengths: 0.000e+00 0.000 0.000e+00 0.000e+00
> MPI Reductions: 0.000e+00 0.000
>
> Flop counting convention: 1 flop = 1 real number operation of type
> (multiply/divide/add/subtract)
> e.g., VecAXPY() for real vectors of length N
> --> 2N flop
> and VecAXPY() for complex vectors of length N
> --> 8N flop
>
> Summary of Stages: ----- Time ------ ----- Flop ------ --- Messages
> --- -- Message Lengths -- -- Reductions --
> Avg %Total Avg %Total Count
> %Total Avg %Total Count %Total
> 0: Main Stage: 9.7178e+01 100.0% 1.1071e+08 100.0% 0.000e+00
> 0.0% 0.000e+00 0.0% 0.000e+00 0.0%
>
>
> ------------------------------------------------------------------------------------------------------------------------
> See the 'Profiling' chapter of the users' manual for details on
> interpreting output.
> Phase summary info:
> Count: number of times phase was executed
> Time and Flop: Max - maximum over all processors
> Ratio - ratio of maximum to minimum over all processors
> Mess: number of messages sent
> AvgLen: average message length (bytes)
> Reduct: number of global reductions
> Global: entire computation
> Stage: stages of a computation. Set stages with PetscLogStagePush() and
> PetscLogStagePop().
> %T - percent time in this phase %F - percent flop in this
> phase
> %M - percent messages in this phase %L - percent message lengths
> in this phase
> %R - percent reductions in this phase
> Total Mflop/s: 10e-6 * (sum of flop over all processors)/(max time over
> all processors)
>
> ------------------------------------------------------------------------------------------------------------------------
> Event Count Time (sec)
> Flop --- Global --- --- Stage ---- Total
> Max Ratio Max Ratio Max Ratio Mess AvgLen
> Reduct %T %F %M %L %R %T %F %M %L %R Mflop/s
>
> ------------------------------------------------------------------------------------------------------------------------
>
> --- Event Stage 0: Main Stage
>
> BuildTwoSidedF 2 1.0 1.8471e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> MatMult 3 1.0 6.8688e-02 1.0 1.09e+08 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 98 0 0 0 0 98 0 0 0 1587
> MatConvert 2 1.0 3.8534e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> MatAssemblyBegin 3 1.0 2.8112e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> MatAssemblyEnd 3 1.0 7.8563e-02 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> MatGetRowIJ 2 1.0 3.6100e-06 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> MatView 2 1.0 5.4618e+01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 56 0 0 0 0 56 0 0 0 0 0
> VecView 2 1.0 7.6981e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 1 0 0 0 0 1 0 0 0 0 0
> VecMDot 1 1.0 1.7635e-04 1.0 3.07e+05 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 1742
> VecNorm 3 1.0 5.4832e-04 1.0 9.22e+05 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 1 0 0 0 0 1 0 0 0 1681
> VecScale 1 1.0 1.5216e-04 1.0 1.54e+05 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 1009
> VecCopy 1 1.0 1.5406e-04 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> VecSet 21 1.0 7.1106e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> VecAYPX 1 1.0 1.9940e-04 1.0 1.54e+05 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 770
> VecWAXPY 1 1.0 7.8802e-04 1.0 1.54e+05 1.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 195
> KSPSetUp 2 1.0 6.8995e-03 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
> PCSetUp 2 1.0 1.3190e+01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 14 0 0 0 0 14 0 0 0 0 0
> PCApply 1 1.0 2.2728e-01 1.0 0.00e+00 0.0 0.0e+00 0.0e+00
> 0.0e+00 0 0 0 0 0 0 0 0 0 0 0
>
> ------------------------------------------------------------------------------------------------------------------------
>
> Memory usage is given in bytes:
>
> Object Type Creations Destructions Memory Descendants' Mem.
> Reports information only for process 0.
>
> --- Event Stage 0: Main Stage
>
> Matrix 3 1 2872 0.
> Vector 32 20 17234800 0.
> Index Set 4 4 3200 0.
> IS L to G Mapping 2 0 0 0.
> Vec Scatter 2 0 0 0.
> Viewer 6 4 3392 0.
> Krylov Solver 2 1 61676 0.
> Preconditioner 2 1 1432 0.
>
> ========================================================================================================================
> Average time to get PetscTime(): 3.36e-08
> #PETSc Option Table entries:
> -ksp_converged_reason
> -ksp_error_if_not_converged
> -ksp_monitor_singular_value
> -ksp_monitor_true_residual
> -log_view
> -pc_hypre_boomeramg_agg_nl 4
> -pc_hypre_boomeramg_agg_num_paths 5
> -pc_hypre_boomeramg_coarsen_type HMIS
> -pc_hypre_boomeramg_eu_bj true
> -pc_hypre_boomeramg_interp_type ext+i
> -pc_hypre_boomeramg_P_max 2
> -pc_hypre_boomeramg_relax_type_all sequential-Gauss-Seidel
> -pc_hypre_boomeramg_smooth_type Euclid
> -pc_hypre_boomeramg_strong_threshold 0.7
> -pc_hypre_boomeramg_truncfactor 0.3
> #End of PETSc Option Table entries
> Compiled without FORTRAN kernels
> Compiled with full precision matrices (default)
> sizeof(short) 2 sizeof(int) 4 sizeof(long) 8 sizeof(void*) 8
> sizeof(PetscScalar) 8 sizeof(PetscInt) 4
> Configure options: PETSC_ARCH=arch-linux2-c-opt-gcc7-hypre
> --with-blaslapack-dir=/opt/lapack/3.8.0-gcc.7.4.0/lib64 --with-debugging=0
> COPTFLAGS=-O3 CXXOPTFLAGS=-O3 FOPTFLAGS=-O3 --with-valgrind=1
> --with-valgrind-dir=/opt/valgrind/3.14.0/
> --prefix=/opt/petsc/3.10.3_gcc-7.4.0 --with-mpi=1 --download-hypre
> -----------------------------------------
> Libraries compiled on 2020-06-26 12:35:46 on xxx
> Machine characteristics:
> Linux-3.10.0-1127.8.2.el7.x86_64-x86_64-with-centos-7.6.1810-Core
> Using PETSc directory: /opt/petsc/3.10.3_gcc-7.4.0
> Using PETSc arch:
> -----------------------------------------
>
> Using C compiler: mpicc -fPIC -Wall -Wwrite-strings -Wno-strict-aliasing
> -Wno-unknown-pragmas -fstack-protector -fvisibility=hidden -O3
> Using Fortran compiler: mpif90 -fPIC -Wall -ffree-line-length-0
> -Wno-unused-dummy-argument -O3
> -----------------------------------------
>
> Using include paths: -I/opt/petsc/3.10.3_gcc-7.4.0/include
> -I/opt/valgrind/3.14.0/include
> -----------------------------------------
>
> Using C linker: mpicc
> Using Fortran linker: mpif90
> Using libraries: -Wl,-rpath,/opt/petsc/3.10.3_gcc-7.4.0/lib
> -L/opt/petsc/3.10.3_gcc-7.4.0/lib -lpetsc
> -Wl,-rpath,/opt/petsc/3.10.3_gcc-7.4.0/lib
> -L/opt/petsc/3.10.3_gcc-7.4.0/lib
> -Wl,-rpath,/opt/lapack/3.8.0-gcc.7.4.0/lib64
> -L/opt/lapack/3.8.0-gcc.7.4.0/lib64
> -Wl,-rpath,/opt/openmpi4.0.0-gcc7.4.0_slurm/lib
> -L/opt/openmpi4.0.0-gcc7.4.0_slurm/lib
> -Wl,-rpath,/opt/gnu/7.4/lib/gcc/x86_64-pc-linux-gnu/7.4.0
> -L/opt/gnu/7.4/lib/gcc/x86_64-pc-linux-gnu/7.4.0
> -Wl,-rpath,/opt/gnu/7.4/lib/gcc -L/opt/gnu/7.4/lib/gcc
> -Wl,-rpath,/opt/gnu/7.4/lib64 -L/opt/gnu/7.4/lib64
> -Wl,-rpath,/opt/gnu/7.4/lib -L/opt/gnu/7.4/lib -lHYPRE -llapack -lblas -lm
> -lX11 -lstdc++ -ldl -lmpi_usempif08 -lmpi_usempi_ignore_tkr -lmpi_mpifh
> -lmpi -lgfortran -lm -lgfortran -lm -lgcc_s -lquadmath -lpthread -lstdc++
> -ldl
> -----------------------------------------
>
--
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>
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