sfepy.discrete.common.mappings module

Reference-physical domain mappings.

class sfepy.discrete.common.mappings.Mapping(**kwargs)

Base class for mappings.

static from_args(region, kind='v')

Create mapping from reference to physical entities in a given region, given the integration kind (‘v’ or ‘s’).

This mapping can be used to compute the physical quadrature points.

Parameters:

regionRegion instance

The region defining the entities.

kind‘v’ or ‘s’

The kind of the entities: ‘v’ - cells, ‘s’ - facets.

Returns:

mappingFEMapping or IGMapping instance

The requested mapping.

class sfepy.discrete.common.mappings.PhysicalQPs(num=0)

Physical quadrature points in a region.

get_shape(rshape)

Get shape from raveled shape.

class sfepy.discrete.common.mappings.PyCMapping(bf, det, volume, bfg, normal, dim)

Class for storing mapping data. Primary data in numpy arrays. Data for C functions translated to FMFields and embedded in CMapping.

integrate(out, field, mode=0)

sfepy.discrete.common.mappings.get_jacobian(field, integral, region=None, integration='volume')

Get the jacobian of reference mapping corresponding to field.

Parameters:

fieldField instance

The field defining the reference mapping.

integralIntegral instance

The integral defining quadrature points.

regionRegion instance, optional

If given, use the given region instead of field region.

integrationone of (‘volume’, ‘surface’, ‘surface_extra’)

The integration type.

Returns:

jacarray

The jacobian merged for all element groups.

See also

get_mapping_data

Notes

Assumes the same element geometry in all element groups of the field!

sfepy.discrete.common.mappings.get_mapping_data(name, field, integral, region=None, integration='volume')

General helper function for accessing reference mapping data.

Get data attribute name from reference mapping corresponding to field in region in quadrature points of the given integral and integration type.

Parameters:

namestr

The reference mapping attribute name.

fieldField instance

The field defining the reference mapping.

integralIntegral instance

The integral defining quadrature points.

regionRegion instance, optional

If given, use the given region instead of field region.

integrationone of (‘volume’, ‘surface’, ‘surface_extra’)

The integration type.

Returns:

dataarray

The required data merged for all element groups.

Notes

Assumes the same element geometry in all element groups of the field!

sfepy.discrete.common.mappings.get_normals(field, integral, region)

Get the normals of element faces in region.

Parameters:

fieldField instance

The field defining the reference mapping.

integralIntegral instance

The integral defining quadrature points.

regionRegion instance

The given of the element faces.

Returns:

normalsarray

The normals merged for all element groups.

See also

get_mapping_data

Notes

Assumes the same element geometry in all element groups of the field!

sfepy.discrete.common.mappings.get_physical_qps(region, integral, map_kind=None)

Get physical quadrature points corresponding to the given region and integral.