EN FR
EN FR


Section: New Results

Second-kind Galerkin boundary element method for scattering at composite objects

In the context of scattering of time-harmonic acoustic waves at objects composed of several homogeneous parts with different material properties, a novel second-kind boundary integral formulation for this scattering problem was proposed in [X. Claeys, A single trace integral formulation of the second kind for acoustic scattering, Report 2011-14, SAM, ETH Zürich]. We recasted it into a variational problem set in L2 and investigated 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.