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, ...)	Compute the projection of a world-space value onto the basis of a single degree of freedom.
gradient_valid()	Whether gradient operator can be computed.
local_value_map_inner(elt_arg, ...)	Build the local value map transforming from node to world space.
local_value_map_outer(elt_arg, ...)	Build the local value map transforming vector-valued from node to world space.
make_field([space_partition])	Create a discrete field over this function space.
node_basis_element(dof_coord)	Basis element for node degrees of freedom.
node_count()	Number of nodes in the interpolation basis.
node_positions([out])	Return node positions for this space.
space_divergence(dof_value, ...)	Assemble the world-space divergence of the function space.
space_gradient(dof_value, ...)	Assemble the world-space gradient of the function space.
space_value(dof_value, node_weight, ...)	Assemble the world-space value of the function space.
trace()	Return the trace of this space on lower-dimensional elements.
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	Unique name of the function space.
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 the trace of this space on lower-dimensional elements.

Return type:

CovariantFunctionSpaceTrace