Link to the source code for this example:

Open miscellaneous_ex17 in new tab.


The console output of the program:

***************************************************************
* Running Example miscellaneous_ex17:
*   ./example-opt  
***************************************************************
 
Running /home/jwpeterson/software/libmesh_build/opt_real/examples/miscellaneous/miscellaneous_ex17/.libs/example-opt

 Mesh Information:
  elem_dimensions()={2}
  elem_default_orders()={1}
  supported_nodal_order()=1
  spatial_dimension()=2
  n_nodes()=9
    n_local_nodes()=9
  n_elem()=4
    n_local_elem()=4
    n_active_elem()=4
  n_subdomains()=1
  n_elemsets()=0
  n_partitions()=1
  n_processors()=1
  n_threads()=1
  processor_id()=0
  is_prepared()=true
  is_replicated()=true

 EquationSystems
  n_systems()=1
   System #0, "Poisson"
    Type "LinearImplicit"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=9
    n_local_dofs()=9
    max(n_local_dofs())=9
    n_constrained_dofs()=0
    n_local_constrained_dofs()=0
    max(local unconstrained dofs)=9
    n_vectors()=1
    n_matrices()=2
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 5.44444
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 9
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 0
      Number of Node Constraints = 0

  0 KSP Residual norm 1.688435532300e+00 
  1 KSP Residual norm 4.775853068521e-03 
  2 KSP Residual norm 8.773680887473e-05 
  3 KSP Residual norm 2.605740036645e-06 

 -----------------------------------------------------------------------------------
| Time:           Tue Jan 21 16:01:28 2025                                          |
| OS:             Linux                                                             |
| HostName:       dell                                                              |
| OS Release:     6.8.0-51-generic                                                  |
| OS Version:     #52~22.04.1-Ubuntu SMP PREEMPT_DYNAMIC Mon Dec  9 15:00:52 UTC 2  |
| Machine:        x86_64                                                            |
| Username:       jwpeterson                                                        |
| Configuration:  /home/jwpeterson/software/libmesh-src/configure  'INSTALL=/usr/bin/install -C'|
|  '--enable-everything'                                                            |
|  '--enable-slepc'                                                                 |
|  '--with-metis=PETSc'                                                             |
|  '--with-subdomain-id-bytes=4'                                                    |
|  '--with-boundary-id-bytes=4'                                                     |
|  '--disable-glpk'                                                                 |
|  '--enable-unique-id'                                                             |
|  '--with-unique-id-bytes=4'                                                       |
|  '--enable-hdf5'                                                                  |
|  '--enable-hdf5-required'                                                         |
|  '--with-hdf5=/home/jwpeterson/software/hdf5_dummy'                               |
|  '--with-nlopt-include=/home/jwpeterson/software/libmesh_install/nlopt/include'   |
|  '--with-nlopt-lib=/home/jwpeterson/software/libmesh_install/nlopt/lib'           |
|  '--with-capnproto=/home/jwpeterson/software/libmesh_install/capnp'               |
|  '--enable-capnp-required'                                                        |
|  '--disable-parmetis'                                                             |
|  '--enable-ifem'                                                                  |
|  '--disable-gmv'                                                                  |
|  '--enable-petsc-required'                                                        |
|  '--enable-nanoflann-pointlocator'                                                |
|  '--prefix=/home/jwpeterson/software/libmesh_install/opt_real/libmesh'            |
|  '--with-methods=opt'                                                             |
|  '--enable-shared'                                                                |
|  '--disable-warnings'                                                             |
|  'PETSC_DIR=/home/jwpeterson/software/libmesh_install/opt_real/petsc'             |
|  'SLEPC_DIR=/home/jwpeterson/software/libmesh_install/opt_real/slepc'             |
 -----------------------------------------------------------------------------------
 -----------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.439271, Active time=0.000856                                                  |
 -----------------------------------------------------------------------------------------------------------------
| 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   |
|-----------------------------------------------------------------------------------------------------------------|
|                                                                                                                 |
|                                                                                                                 |
| DefaultCoupling                                                                                                 |
|   operator()                       4          0.0000      0.000002    0.0000      0.000002    1.05     1.05     |
|                                                                                                                 |
| DofMap                                                                                                          |
|   add_neighbors_to_send_list()     1          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|   build_sparsity()                 1          0.0001      0.000054    0.0001      0.000066    6.31     7.71     |
|   create_dof_constraints()         1          0.0000      0.000050    0.0000      0.000050    5.84     5.84     |
|   distribute_dofs()                1          0.0000      0.000028    0.0001      0.000132    3.27     15.42    |
|   dof_indices()                    8          0.0000      0.000001    0.0000      0.000001    0.58     0.58     |
|   prepare_send_list()              2          0.0000      0.000000    0.0000      0.000000    0.12     0.12     |
|   reinit()                         1          0.0001      0.000104    0.0001      0.000104    12.15    12.15    |
|                                                                                                                 |
| FE                                                                                                              |
|   compute_shape_functions()        12         0.0000      0.000001    0.0000      0.000001    1.17     1.17     |
|   init_shape_functions()           9          0.0000      0.000002    0.0000      0.000002    2.57     2.57     |
|                                                                                                                 |
| FEMap                                                                                                           |
|   compute_affine_map()             12         0.0000      0.000001    0.0000      0.000001    0.93     0.93     |
|   compute_face_map()               8          0.0000      0.000002    0.0000      0.000005    1.64     4.91     |
|   init_face_shape_functions()      1          0.0000      0.000007    0.0000      0.000007    0.82     0.82     |
|   init_reference_to_physical_map() 9          0.0001      0.000007    0.0001      0.000007    7.48     7.48     |
|   inverse_map()                    24         0.0000      0.000001    0.0000      0.000001    3.27     3.27     |
|                                                                                                                 |
| Mesh                                                                                                            |
|   find_neighbors()                 1          0.0001      0.000083    0.0001      0.000083    9.70     9.70     |
|   renumber_nodes_and_elem()        2          0.0000      0.000002    0.0000      0.000002    0.35     0.35     |
|                                                                                                                 |
| MeshBase                                                                                                        |
|   prepare_for_use()                1          0.0001      0.000061    0.0002      0.000155    7.13     18.11    |
|                                                                                                                 |
| MeshTools::Generation                                                                                           |
|   build_cube()                     1          0.0001      0.000116    0.0003      0.000271    13.55    31.66    |
|                                                                                                                 |
| Partitioner                                                                                                     |
|   single_partition_range()         1          0.0000      0.000008    0.0000      0.000008    0.93     0.93     |
|                                                                                                                 |
| System                                                                                                          |
|   assemble()                       1          0.0002      0.000181    0.0003      0.000345    21.14    40.30    |
 -----------------------------------------------------------------------------------------------------------------
| Totals:                            101        0.0009                                          100.00            |
 -----------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example miscellaneous_ex17:
*   ./example-opt  
***************************************************************