A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem

@article{Langdon2006AWI,
  title={A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem},
  author={Stephen Langdon and Simon N. Chandler-Wilde},
  journal={SIAM J. Numerical Analysis},
  year={2006},
  volume={43},
  pages={2450-2477}
}
In this paper we consider the impedance boundary value problem for the Helmholtz equation in a half-plane with piecewise constant boundary data, a problem which models, for example, outdoor sound propagation over inhomogeneous flat terrain. To achieve good approximation at high frequencies with a relatively low number of degrees of freedom, we propose a novel Galerkin boundary element method, using a graded mesh with smaller elements adjacent to discontinuities in impedance and a special set of… CONTINUE READING

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