Title: Dirichlet-to-Neumann boundary conditions for multiple scattering problems
Authors : Grote, Marcus J.
Kirsch, Christoph
Published in : Journal of computational physics
Volume(Issue) : 201
Issue : 2
Pages : 630
Pages to: 650
Publisher / Ed. Institution : Elsevier
Issue Date: 2004
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (Publication)
Language : German
Subject (DDC) : 500: Natural sciences and mathematics
530: Physics
Abstract: A Dirichlet-to-Neumann (DtN) condition is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoint components. It is obtained by combining contributions from multiple purely outgoing wave fields. The DtN condition yields an exact non-reflecting boundary condition for the situation, where the computational domain and its exterior artificial boundary consist of several disjoint components. Because each sub-scatterer can be enclosed by a separate artificial boundary, the computational effort is greatly reduced and becomes independent of the relative distances between the different sub-domains. The DtN condition naturally fits into a variational formulation of the boundary-value problem for use with the finite element method. Moreover, it immediately yields as a by-product an exact formula for the far-field pattern of the scattered field. Numerical examples show that the DtN condition for multiple scattering is as accurate as the well-known DtN condition for single scattering problems [J. Comput. Phys. 82 (1989) 172; Numerical Methods for Problems in Infinite Domains, Elsevier, Amsterdam, 1992], while being more efficient due to the reduced size of the computational domain.
Departement: School of Engineering
Organisational Unit: Institute of Computational Physics (ICP)
Publication type: Article in scientific Journal
DOI : 10.1016/j.jcp.2004.06.012
ISSN: 0021-9991
URI: https://digitalcollection.zhaw.ch/handle/11475/12336
Appears in Collections:Publikationen School of Engineering

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