Please use this identifier to cite or link to this item: https://doi.org/10.1137/110849146
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dc.titleFast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions
dc.contributor.authorWang, L.-L.
dc.contributor.authorWang, B.
dc.contributor.authorZhao, X.
dc.date.accessioned2016-12-13T09:15:11Z
dc.date.available2016-12-13T09:15:11Z
dc.date.issued2012
dc.identifier.citationWang, L.-L., Wang, B., Zhao, X. (2012). Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. SIAM Journal on Applied Mathematics 72 (6) : 1869-1898. ScholarBank@NUS Repository. https://doi.org/10.1137/110849146
dc.identifier.issn00361399
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/133098
dc.description.abstractThis paper is concerned with fast and accurate computation of exterior wave equations truncated via exact circular or spherical nonreflecting boundary conditions (NRBCs, known to be nonlocal in both time and space). We first derive analytic expressions for the underlying convolution kernels, which allow for a rapid and accurate evaluation of the convolution with O(Nt) operations over Nt successive time steps. To handle the nonlocality in space, we introduce the notion of boundary perturbation, which enables us to handle general bounded scatters by solving a sequence of wave equations in a regular domain. We propose an efficient spectral-Galerkin solver with Newmark's time integration for the truncated wave equation in the regular domain. We also provide ample numerical results to show high-order accuracy of NRBCs and efficiency of the proposed scheme. © 2012 Society for Industrial and Applied Mathematics.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1137/110849146
dc.sourceScopus
dc.subjectConvolution
dc.subjectInverse Laplace transform
dc.subjectModified Bessel functions
dc.subjectNewmark's time integration
dc.subjectNonreflecting boundary conditions
dc.subjectSpectral methods
dc.subjectTime-domain Dirichlet-to-Neumann map
dc.typeArticle
dc.contributor.departmentSINGAPORE-MIT ALLIANCE
dc.description.doi10.1137/110849146
dc.description.sourcetitleSIAM Journal on Applied Mathematics
dc.description.volume72
dc.description.issue6
dc.description.page1869-1898
dc.description.codenSMJMA
dc.identifier.isiut000312701400009
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