Schmidt, Kersten ; Heier, Christian (2015)
An analysis of Feng's and other symmetric local absorbing boundary conditions.
In: ESAIM: Math. Model. Numer. Anal., 49 (1)
doi: 10.1051/m2an/2014029
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
With symmetric local absorbing boundary conditions for the Helmholtz equation scattering problems can be solved on a truncated domain, where the outgoing radiation condition is approximated by a Dirichlet-to-Neumann map with higher tangential derivatives on its outer boundary. Feng's conditions are symmetric local absorbing boundary conditions, which are based on an asymptotic expansion of the coefficients of the exact Dirichlet-to-Neumann map for large radia of the circular outer boundary. In this article we analyse the well-posedness of variational formulations with symmetric local absorbing boundary conditions in general and show how the modelling error introduced by Feng's conditions depends on the radius of the truncated domain.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2015 |
| Autor(en): | Schmidt, Kersten ; Heier, Christian |
| Art des Eintrags: | Bibliographie |
| Titel: | An analysis of Feng's and other symmetric local absorbing boundary conditions |
| Sprache: | Englisch |
| Publikationsjahr: | Januar 2015 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | ESAIM: Math. Model. Numer. Anal. |
| Jahrgang/Volume einer Zeitschrift: | 49 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1051/m2an/2014029 |
| URL / URN: | http://dx.doi.org/10.1051/m2an/2014029 |
| Kurzbeschreibung (Abstract): | With symmetric local absorbing boundary conditions for the Helmholtz equation scattering problems can be solved on a truncated domain, where the outgoing radiation condition is approximated by a Dirichlet-to-Neumann map with higher tangential derivatives on its outer boundary. Feng's conditions are symmetric local absorbing boundary conditions, which are based on an asymptotic expansion of the coefficients of the exact Dirichlet-to-Neumann map for large radia of the circular outer boundary. In this article we analyse the well-posedness of variational formulations with symmetric local absorbing boundary conditions in general and show how the modelling error introduced by Feng's conditions depends on the radius of the truncated domain. |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen |
| Hinterlegungsdatum: | 19 Nov 2018 21:24 |
| Letzte Änderung: | 19 Nov 2018 21:24 |
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