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1 results

  • Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method

  • Xue Jiang, Peijun Li, Weiying Zheng
  • Journal:
    Communications in Computational Physics / Volume 13 / Issue 5 / May 2013
    Published online by Cambridge University Press:
    03 June 2015, pp. 1277-1244
    Print publication:
    May 2013

  • 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.