Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931026 | Journal of Computational Physics | 2015 | 17 Pages |
Abstract
In the context of hybrid formulations, the Poincaré-Steklov operator acting on traces of solutions to the vector Helmholtz equation in a heterogeneous interior domain with a smooth boundary is regularized by a well-known boundary integral operator related to the homogeneous exterior domain. For the first time, this property allows us to simultaneously construct a Calderón multiplicative preconditioner for the discretized operator and for a 3-D hybrid finite/boundary element method formulation, applicable to electromagnetic scattering problems. Numerical examples demonstrate the effectiveness of this novel preconditioning scheme, even for heterogeneous domains with non-smooth boundaries.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
D. Dobbelaere, D. De Zutter, J. Van Hese, J. Sercu, T. Boonen, H. Rogier,