api.equation

Functions

l2_boundary_projection(equation)

Create an auxiliary equation (weak formulation) that solves for the boundary trace of the solution by performing an L2 projection of inhomogeneous essential boundary conditions.

Classes

DiscreteEquation(expr, *args, **kwargs)
LinearSystem(lhs, rhs)

Details

l2_boundary_projection(equation)

Create an auxiliary equation (weak formulation) that solves for the boundary trace of the solution by performing an L2 projection of inhomogeneous essential boundary conditions.

Return None if no inhomogeneous essential BCs are imposed on the solution.

Parameters:

equationsympde.expr.Equation

Weak formulation of PDE of interest, which may have essential BCs.

Returns:

eqn_bcsympde.expr.Equation

Weak formulation that performs L2 projection of inhomogeneous essential boundary conditions onto the trial space. None if not needed.

class DiscreteEquation(expr, *args, **kwargs)

Bases: BasicDiscrete

property expr

property lhs

property rhs

property domain

property trial_space

property test_space

property bc

property linear_system

property boundary_equation

set_solver(solver, **kwargs)

get_solver()

assemble(**kwargs)

solve(**kwargs)