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dc.contributor.authorGrote, Marcus J.-
dc.contributor.authorKirsch, Christoph-
dc.date.accessioned2018-10-30T14:51:57Z-
dc.date.available2018-10-30T14:51:57Z-
dc.date.issued2004-
dc.identifier.issn0021-9991de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/12336-
dc.description.abstractA 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.de_CH
dc.language.isodede_CH
dc.publisherElsevierde_CH
dc.relation.ispartofJournal of Computational Physicsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subject.ddc510: Mathematikde_CH
dc.subject.ddc530: Physikde_CH
dc.titleDirichlet-to-Neumann boundary conditions for multiple scattering problemsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitute of Computational Physics (ICP)de_CH
dc.identifier.doi10.1016/j.jcp.2004.06.012de_CH
zhaw.funding.euNode_CH
zhaw.issue2de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end650de_CH
zhaw.pages.start630de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume201de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in collections:Publikationen School of Engineering

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Grote, M. J., & Kirsch, C. (2004). Dirichlet-to-Neumann boundary conditions for multiple scattering problems. Journal of Computational Physics, 201(2), 630–650. https://doi.org/10.1016/j.jcp.2004.06.012
Grote, M.J. and Kirsch, C. (2004) ‘Dirichlet-to-Neumann boundary conditions for multiple scattering problems’, Journal of Computational Physics, 201(2), pp. 630–650. Available at: https://doi.org/10.1016/j.jcp.2004.06.012.
M. J. Grote and C. Kirsch, “Dirichlet-to-Neumann boundary conditions for multiple scattering problems,” Journal of Computational Physics, vol. 201, no. 2, pp. 630–650, 2004, doi: 10.1016/j.jcp.2004.06.012.
GROTE, Marcus J. und Christoph KIRSCH, 2004. Dirichlet-to-Neumann boundary conditions for multiple scattering problems. Journal of Computational Physics. 2004. Bd. 201, Nr. 2, S. 630–650. DOI 10.1016/j.jcp.2004.06.012
Grote, Marcus J., and Christoph Kirsch. 2004. “Dirichlet-to-Neumann boundary conditions for multiple scattering problems.” Journal of Computational Physics 201 (2): 630–50. https://doi.org/10.1016/j.jcp.2004.06.012.
Grote, Marcus J., and Christoph Kirsch. “Dirichlet-to-Neumann boundary conditions for multiple scattering problems.” Journal of Computational Physics, vol. 201, no. 2, 2004, pp. 630–50, https://doi.org/10.1016/j.jcp.2004.06.012.


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