pymor.discretizers.builtin.grids.subgrid
¶
Module Contents¶
Classes¶
A subgrid of a |
Functions¶
Derives a |
- class pymor.discretizers.builtin.grids.subgrid.SubGrid(parent_grid, parent_entities)[source]¶
Bases:
pymor.discretizers.builtin.grids.interfaces.Grid
A subgrid of a
Grid
.Given a
Grid
and a list of codim-0 entities we construct the minimal subgrid of the grid, containing all the given entities.Parameters
- parent_grid
Grid
of which a subgrid is to be created.- parent_entities
NumPy array
of global indices of the codim-0 entities which are to be contained in the subgrid.
- parent_grid[source]¶
The
Grid
from which the subgrid was constructed.Subgrid
only stores aweakref
to the grid, so accessing this property might returnNone
if the original grid has been destroyed.
- parent_indices(self, codim)[source]¶
retval[e]
is the index of thee
-th codim-codim
entity in the parent grid.
- indices_from_parent_indices(self, ind, codim)[source]¶
Maps indices of codim-
codim
entities of the parent grid to indices of the subgrid.Parameters
- ind
NumPy array
of indices of codim-codim
entities of the parent grid- codim
codim of the entities indicated by
ind
Raises
- ValueError
Not all provided indices correspond to entities contained in the subgrid.
- subentities(self, codim, subentity_codim)[source]¶
retval[e,s]
is the global index of thes
-th codim-subentity_codim
subentity of the codim-codim
entity with global indexe
.The ordering of
subentities(0, subentity_codim)[e]
has to correspond, w.r.t. the embedding ofe
, to the local ordering inside the reference element.For
codim > 0
, we provide a default implementation by calculating the subentities ofe
as follows:Find the
codim-1
parent entitye_0
ofe
with minimal global indexLookup the local indices of the subentities of
e
insidee_0
using the reference element.Map these local indices to global indices using
subentities(codim - 1, subentity_codim)
.
This procedures assures that
subentities(codim, subentity_codim)[e]
has the right ordering w.r.t. the embedding determined bye_0
, which agrees with what is returned byembeddings(codim)
- embeddings(self, codim)[source]¶
Returns tuple
(A, B)
whereA[e]
andB[e]
are the linear part and the translation part of the map from the reference element ofe
toe
.For
codim > 0
, we provide a default implementation by taking the embedding of the codim-1 parent entitye_0
ofe
with lowest global index and composing it with the subentity_embedding ofe
intoe_0
determined by the reference element.
- pymor.discretizers.builtin.grids.subgrid.make_sub_grid_boundary_info(sub_grid, parent_grid, parent_grid_boundary_info, new_boundary_type=None)[source]¶
Derives a
BoundaryInfo
for aSubGrid
.Parameters
- sub_grid
The
SubGrid
for which aBoundaryInfo
is created.- parent_grid
The parent
Grid
.- parent_grid_boundary_info
The
BoundaryInfo
of the parentGrid
from which to derive theBoundaryInfo
- new_boundary_type
The boundary type which is assigned to the new boundaries of
subgrid
. IfNone
, no boundary type is assigned.
Returns
BoundaryInfo
associated with sub_grid.