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.