A second-kind Galerkin boundary element method for scattering at composite objects
Gespeichert in:
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)
Online Zugang:
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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 | ||