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[discretizers.cg] affine decomposition of robin operator and rhs functionals #760

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53 changes: 45 additions & 8 deletions src/pymor/discretizers/cg.py
Expand Up @@ -140,25 +140,62 @@ def discretize_stationary_cg(analytical_problem, diameter=None, domain_discretiz

# robin boundaries
if p.robin_data is not None:
Li += [RobinBoundaryOperator(grid, boundary_info, robin_data=p.robin_data, name='robin')]
coefficients.append(1.)
assert isinstance(p.robin_data, tuple) and len(p.robin_data) == 2
if isinstance(p.robin_data[0], LincombFunction):
for i, rd in enumerate(p.robin_data[0].functions):
robin_tuple = (rd, p.robin_data[1])
Li += [RobinBoundaryOperator(grid, boundary_info, robin_data=robin_tuple, name=f'robin_{i}')]
coefficients += list(p.robin_data[0].coefficients)
else:
Li += [RobinBoundaryOperator(grid, boundary_info, robin_data=p.robin_data, name=f'robin')]
coefficients.append(1.)

L = LincombOperator(operators=Li, coefficients=coefficients, name='ellipticOperator')

# right-hand side
rhs = p.rhs or ConstantFunction(0., dim_domain=p.domain.dim)
F = L2Functional(grid, rhs, dirichlet_clear_dofs=True, boundary_info=boundary_info)
Fi = []
coefficients_F = []
if isinstance(p.rhs, LincombFunction):
Fi += [L2Functional(grid, rh, dirichlet_clear_dofs=True, boundary_info=boundary_info, name=f'rhs_{i}')
for i, rh in enumerate(p.rhs.functions)]
coefficients_F += list(p.rhs.coefficients)
else:
Fi += [L2Functional(grid, rhs, dirichlet_clear_dofs=True, boundary_info=boundary_info, name='rhs')]
coefficients_F.append(1.)

if p.neumann_data is not None and boundary_info.has_neumann:
F += BoundaryL2Functional(grid, -p.neumann_data, boundary_info=boundary_info,
boundary_type='neumann', dirichlet_clear_dofs=True)
if isinstance(p.neumann_data, LincombFunction):
Fi += [BoundaryL2Functional(grid, -ne, boundary_info=boundary_info,
boundary_type='neumann', dirichlet_clear_dofs=True, name=f'neumann_{i}')
for i, ne in enumerate(p.neumann_data.functions)]
coefficients_F += list(p.neumann_data.coefficients)
else:
Fi += [BoundaryL2Functional(grid, -p.neumann_data, boundary_info=boundary_info,
boundary_type='neumann', dirichlet_clear_dofs=True)]
coefficients_F.append(1.)

if p.robin_data is not None and boundary_info.has_robin:
F += BoundaryL2Functional(grid, p.robin_data[0] * p.robin_data[1], boundary_info=boundary_info,
boundary_type='robin', dirichlet_clear_dofs=True)
if isinstance(p.robin_data[0], LincombFunction):
Fi += [BoundaryL2Functional(grid, rob * p.robin_data[1], boundary_info=boundary_info,
boundary_type='robin', dirichlet_clear_dofs=True, name=f'robin_{i}')
for i, rob in enumerate(p.robin_data[0].functions)]
coefficients_F += list(p.robin_data[0].coefficients)
else:
Fi += [BoundaryL2Functional(grid, p.robin_data[0] * p.robin_data[1], boundary_info=boundary_info,
boundary_type='robin', dirichlet_clear_dofs=True)]
coefficients_F.append(1.)

if p.dirichlet_data is not None and boundary_info.has_dirichlet:
F += BoundaryDirichletFunctional(grid, p.dirichlet_data, boundary_info)
if isinstance(p.dirichlet_data, LincombFunction):
Fi += [BoundaryDirichletFunctional(grid, di, boundary_info, name=f'dirichlet{i}')
for i, di in enumerate(p.dirichlet_data.functions)]
coefficients_F += list(p.dirichlet_data.coefficients)
else:
Fi += [BoundaryDirichletFunctional(grid, p.dirichlet_data, boundary_info)]
coefficients_F.append(1.)

F = LincombOperator(operators=Fi, coefficients=coefficients_F, name='rhsOperator')

if grid.reference_element in (triangle, square):
visualizer = PatchVisualizer(grid=grid, bounding_box=grid.bounding_box(), codim=2)
Expand Down