Link to the source code for this example:
Open systems_of_equations_ex7 in new tab.The console output of the program:
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* Running Example systems_of_equations_ex7:
* example-opt -ksp_type cg -pc_type bjacobi -snes_linesearch_type basic
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Mesh Information:
elem_dimensions()={3}
spatial_dimension()=3
n_nodes()=525
n_local_nodes()=525
n_elem()=40
n_local_elem()=40
n_active_elem()=40
n_subdomains()=1
n_partitions()=1
n_processors()=1
n_threads()=1
processor_id()=0
EquationSystems
n_systems()=2
System #0, "NonlinearElasticity"
Type "NonlinearImplicit"
Variables={ "u" "v" "w" }
Finite Element Types="LAGRANGE", "JACOBI_20_00"
Infinite Element Mapping="CARTESIAN"
Approximation Orders="FIRST", "THIRD"
n_dofs()=297
n_local_dofs()=297
n_constrained_dofs()=27
n_local_constrained_dofs()=27
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 46.0303
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 81
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 27
Average DoF Constraint Length= 0
System #1, "StressSystem"
Type "Explicit"
Variables={ "sigma_00" "sigma_01" "sigma_02" "sigma_11" "sigma_12" "sigma_22" }
Finite Element Types="MONOMIAL", "JACOBI_20_00"
Infinite Element Mapping="CARTESIAN"
Approximation Orders="CONSTANT", "THIRD"
n_dofs()=240
n_local_dofs()=240
n_constrained_dofs()=0
n_local_constrained_dofs()=0
n_vectors()=1
n_matrices()=0
DofMap Sparsity
Average On-Processor Bandwidth <= 0
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 0
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
Performing solve 0, forcing_magnitude: 0.001
NL step 0, |residual|_2 = 1.140518e-06
NL step 1, |residual|_2 = 4.284515e-04
NL step 2, |residual|_2 = 4.701990e-06
NL step 3, |residual|_2 = 1.256769e-09
NL step 4, |residual|_2 = 8.494494e-13
System solved at nonlinear iteration 4 , final nonlinear residual norm: 8.494494e-13
Computing stresses...
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| Time: Wed Apr 13 10:00:15 2016 |
| OS: Darwin |
| HostName: peterson-laptop.local |
| OS Release: 15.0.0 |
| OS Version: Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64 |
| Machine: x86_64 |
| Username: petejw |
| Configuration: ../configure 'INSTALL=/usr/bin/install -C' |
| '--with-methods=opt dbg' |
| '--prefix=/Users/petejw/projects/libmesh_git/installed' |
| '--enable-perflog' |
| '--enable-tracefiles' |
| '--disable-blocked-storage' |
| '--enable-default-comm-world' |
| '--enable-tecio' |
| '--enable-unique-ptr' |
| '--enable-ifem' |
| 'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu' |
| 'SLEPC_DIR=/opt/petejw/slepc/3.6.1' |
| 'CPPFLAGS= ' |
| 'LIBS= ' |
| 'CPPFLAGS= ' |
| 'LIBS= ' |
| '--disable-netcdf-4' |
| '--disable-testsets' |
| 'CXX=mpicxx' |
| 'CC=mpicc' |
| 'F77=mpif77' |
| 'FC=mpif90' |
| 'CPPFLAGS= ' |
| 'LIBS= ' |
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| libMesh Performance: Alive time=0.165386, Active time=0.154654 |
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| Event nCalls Total Time Avg Time Total Time Avg Time % of Active Time |
| w/o Sub w/o Sub With Sub With Sub w/o S With S |
|-----------------------------------------------------------------------------------------------------------------|
| |
| |
| DofMap |
| add_neighbors_to_send_list() 2 0.0001 0.000047 0.0001 0.000047 0.06 0.06 |
| build_constraint_matrix() 360 0.0002 0.000001 0.0002 0.000001 0.13 0.13 |
| build_sparsity() 1 0.0005 0.000452 0.0005 0.000513 0.29 0.33 |
| constrain_elem_matrix() 160 0.0002 0.000001 0.0002 0.000001 0.12 0.12 |
| constrain_elem_vector() 200 0.0001 0.000000 0.0001 0.000000 0.04 0.04 |
| create_dof_constraints() 2 0.0003 0.000170 0.0004 0.000199 0.22 0.26 |
| distribute_dofs() 2 0.0001 0.000067 0.0006 0.000287 0.09 0.37 |
| dof_indices() 2320 0.0012 0.000001 0.0012 0.000001 0.77 0.77 |
| enforce_constraints_exactly() 10 0.0001 0.000007 0.0001 0.000007 0.04 0.04 |
| prepare_send_list() 4 0.0000 0.000000 0.0000 0.000000 0.00 0.00 |
| reinit() 2 0.0004 0.000220 0.0004 0.000220 0.29 0.29 |
| |
| EquationSystems |
| build_solution_vector() 1 0.0013 0.001305 0.0016 0.001585 0.84 1.02 |
| |
| ExodusII_IO |
| write_nodal_data() 1 0.0020 0.001987 0.0020 0.001987 1.28 1.28 |
| |
| FE |
| compute_shape_functions() 400 0.0008 0.000002 0.0008 0.000002 0.51 0.51 |
| init_shape_functions() 10 0.0001 0.000009 0.0001 0.000009 0.06 0.06 |
| |
| FEMap |
| compute_affine_map() 400 0.0008 0.000002 0.0008 0.000002 0.49 0.49 |
| init_reference_to_physical_map() 10 0.0005 0.000049 0.0005 0.000049 0.32 0.32 |
| |
| Mesh |
| find_neighbors() 1 0.0001 0.000142 0.0001 0.000142 0.09 0.09 |
| renumber_nodes_and_elem() 2 0.0000 0.000005 0.0000 0.000005 0.01 0.01 |
| |
| MeshOutput |
| write_equation_systems() 1 0.0000 0.000031 0.0036 0.003604 0.02 2.33 |
| |
| MeshTools::Generation |
| build_cube() 1 0.0001 0.000113 0.0001 0.000113 0.07 0.07 |
| |
| Parallel |
| allgather() 2 0.0000 0.000000 0.0000 0.000000 0.00 0.00 |
| |
| Partitioner |
| single_partition() 1 0.0000 0.000017 0.0000 0.000017 0.01 0.01 |
| |
| PetscNonlinearSolver |
| jacobian() 4 0.1367 0.034177 0.1383 0.034569 88.39 89.41 |
| residual() 5 0.0035 0.000698 0.0052 0.001045 2.26 3.38 |
| solve() 1 0.0052 0.005222 0.1488 0.148756 3.38 96.19 |
| |
| System |
| solve() 1 0.0003 0.000331 0.1491 0.149087 0.21 96.40 |
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| Totals: 3904 0.1547 100.00 |
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* Done Running Example systems_of_equations_ex7:
* example-opt -ksp_type cg -pc_type bjacobi -snes_linesearch_type basic
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