Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892328 | Computers & Mathematics with Applications | 2017 | 21 Pages |
Abstract
We consider electromagnetic scattering of time-harmonic fields in R3 at objects composed of several linear, homogeneous, and isotropic materials. Adapting earlier work on acoustic scattering (Claeys et al., 2015) we develop a novel second-kind direct boundary integral formulation for this scattering problem, extending the so-called Müller formulation for a homogeneous scatterer to composite objects. The new formulation is amenable to Galerkin boundary element discretization by means of discontinuous tangential surface vectorfields. A rigorous proof of its well-posedness is still missing. Yet numerical tests demonstrate excellent stability and competitive accuracy of the new approach compared with a widely used direct Galerkin boundary element method based on a first-kind boundary integral formulation. For piecewise constant approximation our experiments also confirm fast convergence of GMRES iterations independently of mesh resolution.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xavier Claeys, Ralf Hiptmair, Elke Spindler,