fem.grid#

Classes#

FemAssemblyGrid(space, start, end, *, nquads)

Class that collects all 1D information local to process that are necessary for the correct assembly of l.h.s.

Details#

class FemAssemblyGrid(space, start, end, *, nquads, nderiv=1)[source]#

Bases: object

Class that collects all 1D information local to process that are necessary for the correct assembly of l.h.s. matrix and r.h.s. vector in a finite element method.

This works in the case of clamped and periodic splines, for a global or distributed domain.

A ‘TensorFemSpace’ object will create one object of this class for each 1D space.

Parameters:

spaceSplineSpace: 1D finite element space.
startint: Index of first element local to process.
endint: Index of last element local to process.
nquadsint: Number of quadrature points used in the Gauss-Legendre quadrature formula.
nderivint: Number of basis functions’ derivatives to be precomputed at the Gauss points (default: 1).

property num_elements#: Number of elements over which integration should be performed.

property num_quad_pts#: Number of quadrature points in each element.

property spans#: Span index in each element.

property basis#: Basis function values (and their derivatives) at each quadrature point.

property points#: Location of each quadrature point.

property weights#: Weight assigned to each quadrature point.

property indices#: Global index of each element used in assembly process.

property quad_rule_x#: Coordinates of quadrature points on canonical interval [-1,1].

property quad_rule_w#: Weights assigned to quadrature points on canonical interval [-1,1].

property local_element_start#: Local index of first element owned by process.

property local_element_end#: Local index of last element owned by process.