meshes.reference_map Module

Provides the data structure for the family of reference maps.

class pysofe.meshes.reference_map.ReferenceMap(mesh)

Establishes a connection between the reference domain and the physical mesh elements.

Parameters:mesh (pysofe_light.meshes.mesh.Mesh) – The mesh instance

eval(points, deriv=0)

Evaluates each member of the family of reference maps or their derivatives at given local points.

Provides the following forms of information:

• Zero order information, i.e. the ordinary evaluation, is needed to compute global points given their local counterparts
• First order information is used to compute Jacobians, e.g. in integral transformations

Parameters:

• points (array_like) – The local points at which to evaluate
• deriv (int) – The derivation order

Returns:

nE x nP x nD [x nD]

Return type:

numpy.ndarray

eval_inverse(points, hosts)

Evaluates the inverse maps of the reference maps corresponding to the given host elements at given global points.

Parameters:

• points (array_like) – The global points for which to evaluate the inverse mappings
• hosts (array_like) – The host element for each of the global points

jacobian_inverse(points)

Returns the inverse of the reference maps’ jacobians evaluated at given points.

Parameters:points (array_like) – The local points at which to evaluate the jacobians

jacobian_determinant(points)

Returns the determinants of the reference maps’ jacobians evaluated at given points.

Parameters:points (array_like) – The local points at which to compute the determinants