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DtN and NtD surface radiation conditions for two-dimensional acoustic scattering: Formal derivation and numerical validation
Journal article   Peer reviewed

DtN and NtD surface radiation conditions for two-dimensional acoustic scattering: Formal derivation and numerical validation

Chokri Chniti, Sharefa Eisa Ali Alhazmi, Sami H. Altoum and Moncef Toujani
Applied numerical mathematics, Vol.101, pp.53-70
03/2016
DOI: https://doi.org/10.1016/j.apnum.2015.08.013

Abstract

Acoustic scattering Numerical method On-surface radiation condition method Surface finite element
The aim of this paper is to derive and evaluate new approximations of the Dirichlet-to-Neumann (DtN) and Neumann-to-Dirichlet (NtD) maps for two-dimensional acoustic scattering problems. Some formal approximations for the two-dimensional case are derived. These various approximations are next numerically validated and compared.

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