warp.fem.space.CollocatedFunctionSpace#

class warp.fem.space.CollocatedFunctionSpace(basis, dtype=None, dof_mapper=None)[source]#

Function space whose values are collocated at nodes.

Parameters:

__init__(basis, dtype=None, dof_mapper=None)[source]#

Parameters:

Methods

`__init__`(basis[, dtype, dof_mapper])
`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.
`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.

node_positions(out=None)[source]#

Return node positions for this space.

make_field(space_partition=None)[source]#

Create a discrete field over this function space.

Parameters:: space_partition (SpacePartition | None) – Optional partition of the function space nodes.
Return type:: wp._src.fem.NodalField

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