Link to the source code for this example:
Open systems_of_equations_ex4 in new tab.
The console output of the program:
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* Running Example systems_of_equations_ex4:
* example-opt -ksp_type cg
***************************************************************
Mesh Information:
elem_dimensions()={2}
spatial_dimension()=2
n_nodes()=2121
n_local_nodes()=2121
n_elem()=500
n_local_elem()=500
n_active_elem()=500
n_subdomains()=1
n_partitions()=1
n_processors()=1
n_threads()=1
processor_id()=0
EquationSystems
n_systems()=1
System #0, "Elasticity"
Type "LinearImplicit"
Variables={ "u" "v" }
Finite Element Types="LAGRANGE", "JACOBI_20_00"
Infinite Element Mapping="CARTESIAN"
Approximation Orders="SECOND", "THIRD"
n_dofs()=4242
n_local_dofs()=4242
n_constrained_dofs()=42
n_local_constrained_dofs()=42
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 30.628
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 50
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 42
Average DoF Constraint Length= 0
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| Time: Wed Apr 13 09:57:51 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=0.102448, Active time=0.093921 |
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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() 1 0.0002 0.000199 0.0002 0.000199 0.21 0.21 |
| build_constraint_matrix() 500 0.0002 0.000000 0.0002 0.000000 0.23 0.23 |
| build_sparsity() 1 0.0028 0.002784 0.0030 0.003010 2.96 3.20 |
| cnstrn_elem_mat_vec() 500 0.0001 0.000000 0.0001 0.000000 0.16 0.16 |
| create_dof_constraints() 1 0.0014 0.001399 0.0020 0.001959 1.49 2.09 |
| distribute_dofs() 1 0.0002 0.000208 0.0011 0.001141 0.22 1.21 |
| dof_indices() 4000 0.0012 0.000000 0.0012 0.000000 1.33 1.33 |
| prepare_send_list() 2 0.0000 0.000000 0.0000 0.000000 0.00 0.00 |
| reinit() 1 0.0009 0.000932 0.0009 0.000932 0.99 0.99 |
| |
| EquationSystems |
| build_solution_vector() 1 0.0008 0.000790 0.0011 0.001087 0.84 1.16 |
| |
| ExodusII_IO |
| write_nodal_data() 1 0.0019 0.001871 0.0019 0.001871 1.99 1.99 |
| |
| FE |
| compute_shape_functions() 640 0.0004 0.000001 0.0004 0.000001 0.39 0.39 |
| init_shape_functions() 141 0.0000 0.000000 0.0000 0.000000 0.04 0.04 |
| inverse_map() 420 0.0003 0.000001 0.0003 0.000001 0.34 0.34 |
| |
| FEMap |
| compute_affine_map() 640 0.0006 0.000001 0.0006 0.000001 0.60 0.60 |
| compute_face_map() 140 0.0002 0.000002 0.0006 0.000004 0.24 0.62 |
| init_face_shape_functions() 21 0.0000 0.000001 0.0000 0.000001 0.02 0.02 |
| init_reference_to_physical_map() 141 0.0003 0.000002 0.0003 0.000002 0.35 0.35 |
| |
| Mesh |
| find_neighbors() 1 0.0010 0.000998 0.0010 0.000998 1.06 1.06 |
| renumber_nodes_and_elem() 2 0.0000 0.000021 0.0000 0.000021 0.04 0.04 |
| |
| MeshOutput |
| write_equation_systems() 1 0.0000 0.000019 0.0030 0.002977 0.02 3.17 |
| |
| MeshTools::Generation |
| build_cube() 1 0.0004 0.000445 0.0004 0.000445 0.47 0.47 |
| |
| Parallel |
| allgather() 1 0.0000 0.000001 0.0000 0.000001 0.00 0.00 |
| |
| Partitioner |
| single_partition() 1 0.0000 0.000043 0.0000 0.000043 0.05 0.05 |
| |
| PetscLinearSolver |
| solve() 1 0.0712 0.071200 0.0712 0.071200 75.81 75.81 |
| |
| System |
| assemble() 1 0.0095 0.009525 0.0125 0.012493 10.14 13.30 |
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| Totals: 7161 0.0939 100.00 |
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***************************************************************
* Done Running Example systems_of_equations_ex4:
* example-opt -ksp_type cg
***************************************************************