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_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.
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 the trace of this space on lower-dimensional elements.

Return type:

CovariantFunctionSpaceTrace