caa a22 4500 60549682X CHVBK 20210128100538.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10543-014-0496-y doi (NATIONALLICENCE)springer-10.1007/s10543-014-0496-y A second-kind Galerkin boundary element method for scattering at composite objects [Elektronische Daten] [Xavier Claeys, Ralf Hiptmair, Elke Spindler] 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 $$L^{2}$$ L 2 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. Springer Science+Business Media Dordrecht, 2014 Acoustic scattering nationallicence Second-kind boundary integral equations nationallicence Galerkin boundary element methods nationallicence Claeys Xavier Laboratoire Jacques-Louis Lions, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, 75005, Paris, France aut Hiptmair Ralf Swiss Federal Institute of Technology, Zurich, Switzerland aut Spindler Elke Swiss Federal Institute of Technology, Zurich, Switzerland aut BIT Numerical Mathematics Springer Netherlands 55/1(2015-03-01), 33-57 0006-3835 55:1<33 2015 55 10543 https://doi.org/10.1007/s10543-014-0496-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10543-014-0496-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Claeys Xavier Laboratoire Jacques-Louis Lions, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, 75005, Paris, France aut NATIONALLICENCE 700 1- Hiptmair Ralf Swiss Federal Institute of Technology, Zurich, Switzerland aut NATIONALLICENCE 700 1- Spindler Elke Swiss Federal Institute of Technology, Zurich, Switzerland aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Springer Netherlands 55/1(2015-03-01), 33-57 0006-3835 55:1<33 2015 55 10543