TY - JOUR
T1 - Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method
AU - Xue Jiang, Peijun Li & Weiying Zheng
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 - <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>