fem.partitioning#

Functions#

`construct_connectivity`(domain)	Compute the connectivity of the multipatch domain.
`construct_interface_spaces`(...)	Create the fem spaces for each interface in the domain given by the connectivity.
`construct_reduced_interface_spaces`(spaces, ...)	Create the reduced spaces for the interface coefficients.
`create_cart`(domain_decomposition, spaces)	Compute the cartesian decomposition of the coefficient space.
`get_minus_starts_ends`(plus_starts, ...)	Compute the coefficients needed by the minus patch in a given interface.
`get_plus_starts_ends`(minus_starts, ...)	Compute the coefficients needed by the plus patch in a given interface.
`partition_coefficients`(domain_decomposition, ...)	Partition the coefficients starting from the grid decomposition.

partition_coefficients(domain_decomposition, spaces, min_blocks=None)[source]#

Partition the coefficients starting from the grid decomposition.

Parameters:

domain_decomposition: DomainDecomposition: The distributed topological domain.
spaces: list of SplineSpace: The 1d spline spaces that construct the tensor fem space.
min_blocks: list of int: The minimum number of coefficients owned by a process.

Returns:

global_starts: list of list of int: The starts of the coefficients for every process along each direction.
global_ends: list of list of int: The ends of the coefficients for every process along each direction.

construct_connectivity(domain)[source]#

Compute the connectivity of the multipatch domain.

Parameters:

Returns:

connectivitydict: Connectivity between the patches. It takes the form of {(i, j):((axis_i, ext_i),(axis_j, ext_j))} for each item of the dictionary, where i,j represent the patch indices

get_minus_starts_ends(plus_starts, plus_ends, minus_npts, plus_npts, minus_axis, plus_axis, minus_ext, plus_ext, minus_pads, plus_pads, minus_shifts, plus_shifts, diff)[source]#: Compute the coefficients needed by the minus patch in a given interface.

get_plus_starts_ends(minus_starts, minus_ends, minus_npts, plus_npts, minus_axis, plus_axis, minus_ext, plus_ext, minus_pads, plus_pads, minus_shifts, plus_shifts, diff)[source]#: Compute the coefficients needed by the plus patch in a given interface.

create_cart(domain_decomposition, spaces)[source]#

Compute the cartesian decomposition of the coefficient space. Two different cases are possible:

Single patch :
We distribute the coefficients using all the processes provided by the given communicator.
Multiple patches :
We decompose the provided communicator in a list of smaller disjoint intra-communicators, and decompose the coefficients of each patch with an assigned intra-communicator.

Parameters:

domain_decompositionDomainDecomposition | tuple of DomainDecomposition
spaceslist of list of 1D global Spline spaces: The 1D global spline spaces that will be distributed.

Returns:

carttuple of CartDecomposition: Cartesian decomposition of the coefficient space for each patch in the domain.

construct_interface_spaces(domain_decomposition, g_spaces, carts, interiors, connectivity)[source]#

Create the fem spaces for each interface in the domain given by the connectivity.

Parameters:

domain_decompositionDomainDecomposition
g_spacesdict: dictionary that contains the tensor-fem space for each patch.
cart: <CartDecomposition|MultiCartDecomposition>: Cartesian decomposition of the coefficient space.
interiors: list of Sympde.topology.Domain: List of the multipatch domain interiors.
connectivity: dict: The connectivity of the multipatch domain.

construct_reduced_interface_spaces(spaces, reduced_spaces, interiors, connectivity)[source]#

Create the reduced spaces for the interface coefficients.

Parameters:

spaces: dict: The tensor FEM spaces that we want to reduce for each patch.
reduced_spaces: dict: The reduced coefficient space for each patch.
interiors: list of Sympde.topology.Domain: The patches that construct the multipatch domain.
connectivity: dict: The connectivity of the multipatch domain.