Title: Nonreflecting boundary condition for time-dependent multiple scattering
Authors : Grote, Marcus J.
Kirsch, Christoph
Published in : Journal of computational physics
Volume(Issue) : 221
Issue : 1
Pages : 41
Pages to: 62
Publisher / Ed. Institution : Elsevier
Issue Date: 2007
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (Publication)
Language : German
Subject (DDC) : 530: Physics
Abstract: An exact nonreflecting boundary condition (NBC) is derived for the numerical solution of time-dependent multiple scattering problems in three space dimensions, where the scatterer consists 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. In fact, the computational work due to the NBC only requires a fraction of the computational work inside Ω, due to any standard finite difference or finite element method, independently of the mesh size or the desired overall accuracy. Therefore, the overall numerical scheme retains the rate of convergence of the interior scheme without increasing the complexity of the total computational work. Moreover, the extra storage required depends only on the geometry and not on the final time. Numerical examples show that the NBC for multiple scattering is as accurate as the NBC for a single convex artificial boundary [M.J. Grote, J.B. Keller, Nonreflecting boundary conditions for time-dependent scattering, J. Comput. Phys. 127(1) (1996), 52–65], 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.2006.06.007
ISSN: 0021-9991
URI: https://digitalcollection.zhaw.ch/handle/11475/12335
Appears in Collections:Publikationen School of Engineering

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