warp.fem.space.CovariantFunctionSpace

class warp.fem.space.CovariantFunctionSpace(basis)

Function space whose values are covariant vectors

Parameters:

basis (BasisSpace)

__init__(basis)

Parameters:

basis (BasisSpace)

Methods

__init__(basis)
divergence_valid()	Whether divergence of this field can be computed.
dof_value(space_value, node_weight, ...)	Computes the projection of a world-space value onto the basis of a single degree of freedom :param - space_value: world-space value :param - node_weight: weight associated to the node, as given per the basis space :param - local_value_map: data encoding local transformation from node space to world space, as given per local_map_value_(inn|out)er
gradient_valid()	Whether gradient operator can be computed.
local_value_map_inner(elt_arg, ...)	Builds the local value map transforming from node to world space
local_value_map_outer(elt_arg, ...)	Builds the local value map transforming vector-valued from node to world space
make_field([space_partition])
node_count()	Number of nodes in the interpolation basis
node_positions([out])
space_divergence(dof_value, ...)
space_gradient(dof_value, ...)	Assembles the world-space gradient of the function space :param - dof_value: node value in the degrees-of-freedom basis :param - node_weight_gradient: gradient of the weight associated to the node, either w.r.t element or world space :param - local_value_map: data encoding local transformation from node space to world space, as given per local_map_value_(inn|out)er
space_value(dof_value, node_weight, ...)	Assembles the world-space value of the function space :param - dof_value: node value in the degrees-of-freedom basis :param - node_weight: weight associated to the node, as given per the basis space :param - local_value_map: data encoding local transformation from node space to world space, as given per local_map_value_(inn|out)er
trace()
value_basis_element(dof_coord)	Basis element for the function space values

Attributes

basis	Underlying basis space
degree	Maximum polynomial degree of the underlying basis
dimension	Function space embedding dimension
element_kind	Kind of element the function space is expressed over
geometry	Underlying geometry
name
node_basis_element
topology	Underlying geometry
dtype	Value type of the interpolation functions
dof_dtype	Data type of the degrees of freedom of each node
weight_dtype	Data type of the shape functions associated to each node
LocalValueMap	Type of the local map for transforming vector-valued functions from reference to world space
VALUE_DOF_COUNT	Number of degrees of freedom per value, as a Warp constant
NODE_DOF_COUNT	Number of degrees of freedom per node, as a Warp constant
ORDER	Polynomial degree of the function space, used to determine integration order

trace()

Return type:

CovariantFunctionSpaceTrace