Volume 13, Issue 5
Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method

Xue Jiang, Peijun Li & Weiying Zheng

Commun. Comput. Phys., 13 (2013), pp. 1227-1244.

Published online: 2013-05

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  • Abstract

Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions, where the wave propagation is governed by the Helmholtz equation. The scattering problem is modeled as a boundary value problem over a bounded domain. Based on the Dirichlet-to-Neumann (DtN) operator, a transparent boundary condition is introduced on an artificial circular boundary enclosing the obstacle. An adaptive finite element based on a posterior error estimate is presented to solve the boundary value problem with a nonlocal DtN boundary condition. Numerical experiments are included to compare with the perfectly matched layer (PML) method to illustrate the competitive behavior of the proposed adaptive method.

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@Article{CiCP-13-1227, author = {}, title = {Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {5}, pages = {1227--1244}, abstract = {

Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions, where the wave propagation is governed by the Helmholtz equation. The scattering problem is modeled as a boundary value problem over a bounded domain. Based on the Dirichlet-to-Neumann (DtN) operator, a transparent boundary condition is introduced on an artificial circular boundary enclosing the obstacle. An adaptive finite element based on a posterior error estimate is presented to solve the boundary value problem with a nonlocal DtN boundary condition. Numerical experiments are included to compare with the perfectly matched layer (PML) method to illustrate the competitive behavior of the proposed adaptive method.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301011.270412a}, url = {http://global-sci.org/intro/article_detail/cicp/7272.html} }
TY - JOUR T1 - Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method JO - Communications in Computational Physics VL - 5 SP - 1227 EP - 1244 PY - 2013 DA - 2013/05 SN - 13 DO - http://doi.org/10.4208/cicp.301011.270412a UR - https://global-sci.org/intro/article_detail/cicp/7272.html KW - AB -

Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions, where the wave propagation is governed by the Helmholtz equation. The scattering problem is modeled as a boundary value problem over a bounded domain. Based on the Dirichlet-to-Neumann (DtN) operator, a transparent boundary condition is introduced on an artificial circular boundary enclosing the obstacle. An adaptive finite element based on a posterior error estimate is presented to solve the boundary value problem with a nonlocal DtN boundary condition. Numerical experiments are included to compare with the perfectly matched layer (PML) method to illustrate the competitive behavior of the proposed adaptive method.

Xue Jiang, Peijun Li & Weiying Zheng. (2020). Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method. Communications in Computational Physics. 13 (5). 1227-1244. doi:10.4208/cicp.301011.270412a
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