A Calderon multiplicative preconditioner for the electromagnetic Poincare-Steklov operator of a heterogeneous domain with scattering applications

作者：Dobbelaere D^*; De Zutter D; Van Hese J; Sercu J; Boonen T; Rogier H

来源：Journal of Computational Physics, 2015, 303: 355-371.

DOI：10.1016/j.jcp.2015.09.052

• Poincare-Steklov operator
• Heterogeneous domain
• Calderon preconditioner
• Schur complement discretization
• Preconditioned hybrid formulation
• Electromagnetic scattering

In the context of hybrid formulations, the Poincare-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 Calderon 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.

• 出版日期2015-12-15