A second-kind Galerkin boundary element method for scattering at composite objects

作者：Claeys Xavier; Hiptmair Ralf; Spindler Elke^*

来源：BIT Numerical Mathematics, 2015, 55(1): 33-57.

DOI：10.1007/s10543-014-0496-y

• Acoustic scattering
• Second-kind boundary integral equations
• Galerkin boundary element methods

We consider the scattering of time-harmonic acoustic waves at objects composed of several homogeneous parts with different material properties. In Claeys (A single trace integral formulation of the second kind for acoustic scattering, 2011), a novel second-kind boundary integral formulation for this scattering problem was proposed, that relies on skeleton Cauchy data as unknowns. We recast it into a variational problem set in and investigate its Galerkin boundary element discretization from a theoretical and algorithmic point of view. Empiric studies demonstrate the competitive accuracy and superior conditioning of the new approach compared to a widely used Galerkin boundary element approach based on a first-kind boundary integral formulation.

• 出版日期2015-3