@Article{CiCP-13-1227,
author = {Xue Jiang, Peijun Li and Weiying Zheng},
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 = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.301011.270412a},
url = {http://global-sci.org/intro/article_detail/cicp/7272.html}
}