Please use this identifier to cite or link to this item: https://doi.org/10.1137/110849146
Title: Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions
Authors: Wang, L.-L.
Wang, B. 
Zhao, X.
Keywords: Convolution
Inverse Laplace transform
Modified Bessel functions
Newmark's time integration
Nonreflecting boundary conditions
Spectral methods
Time-domain Dirichlet-to-Neumann map
Issue Date: 2012
Citation: Wang, 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
Abstract: This 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.
Source Title: SIAM Journal on Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/133098
ISSN: 00361399
DOI: 10.1137/110849146
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