PDE Solver using a Finite Element/Finite Volume approach: bim3a_osc_laplacian

### Categories &

#### Functions List

###### Matrix assembly

- bim1a_advection_diffusion
- bim1a_advection_upwind
- bim1a_axisymmetric_advection_diffusion
- bim1a_axisymmetric_advection_upwind
- bim2a_advection_diffusion
- bim2a_advection_upwind
- bim2a_axisymmetric_advection_diffusion
- bim2a_axisymmetric_advection_upwind
- bim3a_advection_diffusion
- bim3a_osc_advection_diffusion
- bim1a_laplacian
- bim1a_axisymmetric_laplacian
- bim2a_laplacian
- bim2a_axisymmetric_laplacian
- bim3a_laplacian
- bim3a_osc_laplacian
- bim1a_reaction
- bim1a_axisymmetric_reaction
- bim2a_reaction
- bim2a_axisymmetric_reaction
- bim3a_reaction
- bim1a_rhs
- bim1a_axisymmetric_rhs
- bim2a_rhs
- bim2a_axisymmetric_rhs
- bim3a_rhs
- bim2a_boundary_mass
- bim2a_axisymmetric_boundary_mass
- bim3a_boundary_mass

###### Pre-processing and Post-processing computations

- bim2c_mesh_properties
- bim3c_mesh_properties
- bim2c_unknowns_on_side
- bim3c_unknowns_on_faces
- bim2c_pde_gradient
- bim3c_pde_gradient
- bim2c_global_flux
- bim3c_global_flux
- bim1c_elem_to_nodes
- bim2c_tri_to_nodes
- bim3c_tri_to_nodes
- bim2c_intrp
- bim3c_intrp
- bim1c_norm
- bim2c_norm
- bim3c_norm

###### Utilities

- bimu_bernoulli
- bimu_logm

### Function Reference: `bim3a_osc_laplacian`

Function File: A = bim3a_osc_laplacian (mesh, epsilon)

Build the osc finite element stiffness matrix for a diffusion problem.

For details on the Orthogonal Subdomain Collocation (OSC) method see: M.Putti and C.Cordes, SIAM J.SCI.COMPUT. Vol.19(4), pp.1154-1168, 1998.

The equation taken into account is:

- div (epsilon grad (u)) = f

where epsilon is an element-wise constant scalar function.

See also: bim3a_rhs, bim3a_reaction, bim2a_laplacian, bim3a_laplacian

Source Code: bim3a_osc_laplacian