prompt stringlengths 174 59.5k | completion stringlengths 7 228 | api stringlengths 12 64 |
|---|---|---|
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | VolumeMapping(cc, rconn, gel=gel) | sfepy.fem.mappings.VolumeMapping |
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | SurfaceMapping(dual_coors, tri_conn, gel=gel) | sfepy.fem.mappings.SurfaceMapping |
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | FESurface(None, self.region, self.gel.faces, conn, ig) | sfepy.fem.fe_surface.FESurface |
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | la.norm_l2_along_axis(centre_normals) | sfepy.linalg.norm_l2_along_axis |
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | la.norm_l2_along_axis(edge_normals) | sfepy.linalg.norm_l2_along_axis |
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | la.norm_l2_along_axis(edge_dirs) | sfepy.linalg.norm_l2_along_axis |
"""
Friction-slip model formulated as the implicit complementarity problem.
To integrate over a (dual) mesh, one needs:
* coordinates of element vertices
* element connectivity
* local base for each element
* constant in each sub-triangle of the dual mesh
Data for each dual element:
* connectivity of its sub-tria... | la.norm_l2_along_axis(edge_ortho) | sfepy.linalg.norm_l2_along_axis |
# -*- coding: utf-8 -*-
r"""
Linear elasticity with given displacements.
Find :math:`\ul{u}` such that:
.. math::
\int_{\Omega} D_{ijkl}\ e_{ij}(\ul{v}) e_{kl}(\ul{u})
= 0
\;, \quad \forall \ul{v} \;,
where
.. math::
D_{ijkl} = \mu (\delta_{ik} \delta_{jl}+\delta_{il} \delta_{jk}) +
\lambda \ \d... | stiffness_from_lame(dim=3, lam=1e1, mu=1e0) | sfepy.mechanics.matcoefs.stiffness_from_lame |
import os
import numpy as nm
try:
from enthought.tvtk.api import tvtk
from enthought.mayavi.sources.vtk_data_source import VTKDataSource
from enthought.pyface.timer.api import Timer
except:
from tvtk.api import tvtk
from mayavi.sources.vtk_data_source import VTKDataSource
from pyface.timer.ap... | mlab.pipeline.open(self.filename) | sfepy.postprocess.utils.mlab.pipeline.open |
import os
import numpy as nm
try:
from enthought.tvtk.api import tvtk
from enthought.mayavi.sources.vtk_data_source import VTKDataSource
from enthought.pyface.timer.api import Timer
except:
from tvtk.api import tvtk
from mayavi.sources.vtk_data_source import VTKDataSource
from pyface.timer.ap... | mlab.pipeline.open(self.filename[0]) | sfepy.postprocess.utils.mlab.pipeline.open |
import os
import numpy as nm
try:
from enthought.tvtk.api import tvtk
from enthought.mayavi.sources.vtk_data_source import VTKDataSource
from enthought.pyface.timer.api import Timer
except:
from tvtk.api import tvtk
from mayavi.sources.vtk_data_source import VTKDataSource
from pyface.timer.ap... | MeshIO.any_from_filename(filename) | sfepy.discrete.fem.meshio.MeshIO.any_from_filename |
import os
import numpy as nm
try:
from enthought.tvtk.api import tvtk
from enthought.mayavi.sources.vtk_data_source import VTKDataSource
from enthought.pyface.timer.api import Timer
except:
from tvtk.api import tvtk
from mayavi.sources.vtk_data_source import VTKDataSource
from pyface.timer.ap... | Mesh.from_file(filename) | sfepy.discrete.fem.Mesh.from_file |
import os
import numpy as nm
try:
from enthought.tvtk.api import tvtk
from enthought.mayavi.sources.vtk_data_source import VTKDataSource
from enthought.pyface.timer.api import Timer
except:
from tvtk.api import tvtk
from mayavi.sources.vtk_data_source import VTKDataSource
from pyface.timer.ap... | supported_formats.keys() | sfepy.discrete.fem.meshio.supported_formats.keys |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | iter_dict_of_lists(conn_info, return_keys=True) | sfepy.base.base.iter_dict_of_lists |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | multi.is_remote_dict(self.mappings0) | sfepy.base.multiproc.is_remote_dict |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | output('evaluating in %d points...' % coors.shape[0], verbose=verbose) | sfepy.base.base.output |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | Timer(start=True) | sfepy.base.timing.Timer |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | output('...done',verbose=verbose) | sfepy.base.base.output |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | get_paths('sfepy/discrete/iga/fields*.py') | sfepy.get_paths |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | get_paths('sfepy/discrete/structural/fields*.py') | sfepy.get_paths |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | multi.is_remote_dict(self.mappings0) | sfepy.base.multiproc.is_remote_dict |
from __future__ import absolute_import
import numpy as nm
from sfepy.base.base import output, iter_dict_of_lists, Struct, basestr
from sfepy.base.timing import Timer
import six
def parse_approx_order(approx_order):
"""
Parse the uniform approximation order value (str or int).
"""
ao_msg = 'unsupport... | get_paths('sfepy/discrete/fem/fields*.py') | sfepy.get_paths |
import numpy as nm
from sfepy.base.base import output, Struct
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.homogenization.homogen_app import HomogenizationApp
from sfepy.homogenization.coefficients import Coefficients
import tables as pt
from sfepy.discrete.fem.meshio import HDF5MeshIO
imp... | get_standard_keywords() | sfepy.base.conf.get_standard_keywords |
import numpy as nm
from sfepy.base.base import output, Struct
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.homogenization.homogen_app import HomogenizationApp
from sfepy.homogenization.coefficients import Coefficients
import tables as pt
from sfepy.discrete.fem.meshio import HDF5MeshIO
imp... | ProblemConf.from_file(micro_filename, required, other, verbose=False) | sfepy.base.conf.ProblemConf.from_file |
import numpy as nm
from sfepy.base.base import output, Struct
from sfepy.base.conf import ProblemConf, get_standard_keywords
from sfepy.homogenization.homogen_app import HomogenizationApp
from sfepy.homogenization.coefficients import Coefficients
import tables as pt
from sfepy.discrete.fem.meshio import HDF5MeshIO
imp... | HDF5MeshIO( val+'.h5' ) | sfepy.discrete.fem.meshio.HDF5MeshIO |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Mesh.from_region(omega_gi, mesh, localize=True) | sfepy.discrete.fem.Mesh.from_region |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | FEDomain('domain_i', mesh_i) | sfepy.discrete.fem.FEDomain |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('number of local field DOFs:', field_i.n_nod) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | FieldVariable('u_i', 'unknown', field_i) | sfepy.discrete.FieldVariable |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | FieldVariable('v_i', 'test', field_i, primary_var_name='u_i') | sfepy.discrete.FieldVariable |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Integral('i', order=2*order) | sfepy.discrete.Integral |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Material('m', lam=10, mu=5) | sfepy.discrete.Material |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Equation('balance', t1 - 100 * t2) | sfepy.discrete.Equation |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Equations([eq]) | sfepy.discrete.Equations |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Problem('problem_i', equations=eqs, active_only=False) | sfepy.discrete.Problem |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | pl.verify_task_dof_maps(dof_maps, id_map, field, verbose=verbose) | sfepy.parallel.parallel.verify_task_dof_maps |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('rank', rank, 'of', size) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Struct() | sfepy.base.base.Struct |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Timer('solve_timer') | sfepy.base.timing.Timer |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Mesh.from_file(mesh_filename) | sfepy.discrete.fem.Mesh.from_file |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('creating global domain and field...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | FEDomain('domain', mesh) | sfepy.discrete.fem.FEDomain |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Field.from_args('fu', nm.float64, 1, omega, approx_order=order) | sfepy.discrete.fem.Field.from_args |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('distributing field %s...' % field.name) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('creating local problem...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Region.from_cells(lfd.cells, field.domain) | sfepy.discrete.common.region.Region.from_cells |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('allocating global system...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | pl.get_sizes(lfd.petsc_dofs_range, field.n_nod, 1) | sfepy.parallel.parallel.get_sizes |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('sizes:', sizes) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('drange:', drange) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | pl.get_local_ordering(field_i, lfd.petsc_dofs_conn) | sfepy.parallel.parallel.get_local_ordering |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('pdofs:', pdofs) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('evaluating local problem...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | State(variables) | sfepy.discrete.State |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('assembling global system...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | apply_ebc_to_matrix(mtx_i, u_i.eq_map.eq_ebc) | sfepy.discrete.evaluate.apply_ebc_to_matrix |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('creating solver...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | PETScKrylovSolver(conf, comm=comm, mtx=pmtx, status=status) | sfepy.solvers.ls.PETScKrylovSolver |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('solving...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | pl.create_local_petsc_vector(pdofs) | sfepy.parallel.parallel.create_local_petsc_vector |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | pl.create_gather_scatter(pdofs, psol_i, psol, comm=comm) | sfepy.parallel.parallel.create_gather_scatter |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('saving solution...') | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | pl.create_gather_to_zero(psol) | sfepy.parallel.parallel.create_gather_to_zero |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('...done in', timer.dt) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output.set_output(filename=filename, combined=options.silent == False) | sfepy.base.base.output.set_output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('petsc options:', petsc_opts) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('dimensions:', dims) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('shape: ', shape) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('centre: ', centre) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output('field order:', options.order) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | output(stats) | sfepy.base.base.output |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | ensure_path(filename) | sfepy.base.ioutils.ensure_path |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Struct(dim=dim, shape=shape, order=options.order) | sfepy.base.base.Struct |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Function('get_load', get_load) | sfepy.discrete.Function |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | Conditions([ebc1, ebc2]) | sfepy.discrete.conditions.Conditions |
#!/usr/bin/env python
r"""
Parallel assembling and solving of a Poisson's equation, using commands for
interactive use.
Find :math:`u` such that:
.. math::
\int_{\Omega} \nabla v \cdot \nabla u
= \int_{\Omega} v f
\;, \quad \forall s \;.
Important Notes
---------------
- This example requires petsc4py, ... | ensure_path(options.stats_filename) | sfepy.base.ioutils.ensure_path |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | FEDomain('domain', mesh) | sfepy.discrete.fem.FEDomain |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | define_box_regions(3, lbn, rtf) | sfepy.homogenization.utils.define_box_regions |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | FieldVariable('u', 'unknown', vector_field, history=1) | sfepy.discrete.FieldVariable |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | FieldVariable('v', 'test', vector_field, primary_var_name='u') | sfepy.discrete.FieldVariable |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | FieldVariable('p', 'unknown', scalar_field, history=1) | sfepy.discrete.FieldVariable |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | FieldVariable('q', 'test', scalar_field, primary_var_name='p') | sfepy.discrete.FieldVariable |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Function('disp_fun', get_displacement) | sfepy.discrete.Function |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Conditions([x_sym, y_sym, z_sym, displacement]) | sfepy.discrete.conditions.Conditions |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Integral('i', order=2*order+1) | sfepy.discrete.Integral |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Equation('balance', term_1 + term_pressure) | sfepy.discrete.Equation |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Equation('volume', term_volume_change - term_volume) | sfepy.discrete.Equation |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Equations([eq_balance, eq_volume]) | sfepy.discrete.Equations |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | ScipyDirect({}) | sfepy.solvers.ls.ScipyDirect |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | IndexedStruct() | sfepy.base.base.IndexedStruct |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | Problem('hyper', equations=equations) | sfepy.discrete.Problem |
#!/usr/bin/env python
r"""
This example shows the use of the `dw_tl_he_genyeoh` hyperelastic term, whose
contribution to the deformation energy density per unit reference volume is
given by
.. math::
W = K \, \left( \overline I_1 - 3 \right)^{p}
where :math:`\overline I_1` is the first main invariant of the devia... | SimpleTimeSteppingSolver(ts, nls=nls, context=pb) | sfepy.solvers.ts_solvers.SimpleTimeSteppingSolver |
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