Inhomogeneous Dirichlet Boundary Conditions in the Method of Computed Basis Functions

The method of computed basis functions (CBFs) increases the accuracy when material interfaces pass through finite elements, e.g., when using voxel-based meshes. Here, CBF is extended to be able to handle interfaces on which an inhomogeneous Dirichlet boundary condition is applied, such as electrodes in electrostatic problems. Results are presented for capacitance and characteristic impedance extracted from the computed potential. The use of CBFs reduces the number of elements needed to obtain a given accuracy by at least an order of magnitude.