Link to the source code for this example:
Open vector_fe_ex10 in new tab.
The console output of the program:
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=TRI6 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=2
n_nodes()=961
n_local_nodes()=961
n_elem()=450
n_local_elem()=450
n_active_elem()=450
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="FIRST"
n_dofs()=705
n_local_dofs()=705
max(n_local_dofs())=705
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=705
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 4.82979
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 5
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.171261
HDiv semi-norm error is: 0.872515
HDiv error is: 0.889164
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=TRI6 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=TRI7 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={3}
supported_nodal_order()=3
spatial_dimension()=2
n_nodes()=1411
n_local_nodes()=1411
n_elem()=450
n_local_elem()=450
n_active_elem()=450
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="FIRST"
n_dofs()=705
n_local_dofs()=705
max(n_local_dofs())=705
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=705
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 4.82979
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 5
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.171261
HDiv semi-norm error is: 0.872515
HDiv error is: 0.889164
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=TRI7 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=QUAD8 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=2
n_nodes()=736
n_local_nodes()=736
n_elem()=225
n_local_elem()=225
n_active_elem()=225
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="FIRST"
n_dofs()=480
n_local_dofs()=480
max(n_local_dofs())=480
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=480
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 6.625
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 7
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.171869
HDiv semi-norm error is: 1.06744
HDiv error is: 1.08118
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=QUAD8 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=QUAD9 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=2
n_nodes()=961
n_local_nodes()=961
n_elem()=225
n_local_elem()=225
n_active_elem()=225
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="FIRST"
n_dofs()=480
n_local_dofs()=480
max(n_local_dofs())=480
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=480
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 6.625
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 7
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.171869
HDiv semi-norm error is: 1.06744
HDiv error is: 1.08118
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 element_type=QUAD9 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=TRI6 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=2
n_nodes()=961
n_local_nodes()=961
n_elem()=450
n_local_elem()=450
n_active_elem()=450
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="THIRD"
n_dofs()=4815
n_local_dofs()=4815
max(n_local_dofs())=4815
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=4815
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 19.8224
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 27
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.000476859
HDiv semi-norm error is: 0.00418619
HDiv error is: 0.00421326
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=TRI6 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=TRI7 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={3}
supported_nodal_order()=3
spatial_dimension()=2
n_nodes()=1411
n_local_nodes()=1411
n_elem()=450
n_local_elem()=450
n_active_elem()=450
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="THIRD"
n_dofs()=4815
n_local_dofs()=4815
max(n_local_dofs())=4815
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=4815
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 19.8224
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 27
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.000476859
HDiv semi-norm error is: 0.00418619
HDiv error is: 0.00421326
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=TRI7 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=QUAD8 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=2
n_nodes()=736
n_local_nodes()=736
n_elem()=225
n_local_elem()=225
n_active_elem()=225
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="THIRD"
n_dofs()=4140
n_local_dofs()=4140
max(n_local_dofs())=4140
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=4140
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 30.3913
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 45
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.000327013
HDiv semi-norm error is: 0.00205269
HDiv error is: 0.00207857
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=QUAD8 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=QUAD9 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={2}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=2
n_nodes()=961
n_local_nodes()=961
n_elem()=225
n_local_elem()=225
n_active_elem()=225
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="THIRD"
n_dofs()=4140
n_local_dofs()=4140
max(n_local_dofs())=4140
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=4140
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 30.3913
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 45
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.000327013
HDiv semi-norm error is: 0.00205269
HDiv error is: 0.00207857
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=2 order=3 element_type=QUAD9 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=3 element_type=TET14 grid_size=6 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={3}
elem_default_orders()={3}
supported_nodal_order()=3
spatial_dimension()=3
n_nodes()=19045
n_local_nodes()=19045
n_elem()=5184
n_local_elem()=5184
n_active_elem()=5184
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="FIRST"
n_dofs()=10800
n_local_dofs()=10800
max(n_local_dofs())=10800
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=10800
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 6.76
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 7
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.399985
HDiv semi-norm error is: 1.63
HDiv error is: 1.67836
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=3 element_type=TET14 grid_size=6 -pc_type lu
***************************************************************
***************************************************************
* Running Example vector_fe_ex10:
* ./example-opt dim=3 element_type=HEX27 -pc_type lu
***************************************************************
Mesh Information:
elem_dimensions()={3}
elem_default_orders()={2}
supported_nodal_order()=2
spatial_dimension()=3
n_nodes()=29791
n_local_nodes()=29791
n_elem()=3375
n_local_elem()=3375
n_active_elem()=3375
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, "GradDiv"
Type "LinearImplicit"
Variables="u"
Finite Element Types="RAVIART_THOMAS"
Approximation Orders="FIRST"
n_dofs()=10800
n_local_dofs()=10800
max(n_local_dofs())=10800
n_constrained_dofs()=0
n_local_constrained_dofs()=0
max(local unconstrained dofs)=10800
n_vectors()=1
n_matrices()=1
DofMap Sparsity
Average On-Processor Bandwidth <= 10.375
Average Off-Processor Bandwidth <= 0
Maximum On-Processor Bandwidth <= 11
Maximum Off-Processor Bandwidth <= 0
DofMap Constraints
Number of DoF Constraints = 0
~~ Vector field (u) ~~
L2 error is: 0.243059
HDiv semi-norm error is: 1.50958
HDiv error is: 1.52903
***************************************************************
* Done Running Example vector_fe_ex10:
* ./example-opt dim=3 element_type=HEX27 -pc_type lu
***************************************************************