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

Verfasser / Beitragende:
[Xavier Claeys, Ralf Hiptmair, Elke Spindler]
Ort, Verlag, Jahr:
2015
Enthalten in:
BIT Numerical Mathematics, 55/1(2015-03-01), 33-57
Format:
Artikel (online)
ID: 60549682X
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024 7 0 |a 10.1007/s10543-014-0496-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10543-014-0496-y 
245 0 2 |a A second-kind Galerkin boundary element method for scattering at composite objects  |h [Elektronische Daten]  |c [Xavier Claeys, Ralf Hiptmair, Elke Spindler] 
520 3 |a 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. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Acoustic scattering  |2 nationallicence 
690 7 |a Second-kind boundary integral equations  |2 nationallicence 
690 7 |a Galerkin boundary element methods  |2 nationallicence 
700 1 |a Claeys  |D Xavier  |u Laboratoire Jacques-Louis Lions, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, 75005, Paris, France  |4 aut 
700 1 |a Hiptmair  |D Ralf  |u Swiss Federal Institute of Technology, Zurich, Switzerland  |4 aut 
700 1 |a Spindler  |D Elke  |u Swiss Federal Institute of Technology, Zurich, Switzerland  |4 aut 
773 0 |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/1(2015-03-01), 33-57  |x 0006-3835  |q 55:1<33  |1 2015  |2 55  |o 10543 
856 4 0 |u https://doi.org/10.1007/s10543-014-0496-y  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10543-014-0496-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Claeys  |D Xavier  |u Laboratoire Jacques-Louis Lions, Sorbonne Universités, UPMC Univ Paris 06, UMR 7598, 75005, Paris, France  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hiptmair  |D Ralf  |u Swiss Federal Institute of Technology, Zurich, Switzerland  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Spindler  |D Elke  |u Swiss Federal Institute of Technology, Zurich, Switzerland  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t BIT Numerical Mathematics  |d Springer Netherlands  |g 55/1(2015-03-01), 33-57  |x 0006-3835  |q 55:1<33  |1 2015  |2 55  |o 10543