Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639145 | Journal of Computational and Applied Mathematics | 2013 | 12 Pages |
Abstract
A new variational formulation for the boundary element computation of Floquet-Bloch solutions to the Helmholtz equation is derived. The method is applicable to geometries that are layered in the vertical and biperiodic in two horizontal directions. The discretization leads to a nonlinear Hermitian eigenvalue problem which is solved using a homotopy approach. Numerical examples demonstrate that with the boundary element approach a high accuracy can be achieved with a small number of degrees of freedom in the discretization.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Johannes Tausch,