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

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 numeri...

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Veröffentlicht in:	Applied numerical mathematics 2016-03, Vol.101, p.53-70
Hauptverfasser:	Chniti, Chokri, Eisa Ali Alhazmi, Sharefa, Altoum, Sami H., Toujani, Moncef
Format:	Artikel
Sprache:	eng
Schlagworte:	Acoustic scattering Approximation Derivation Mathematical models Numerical method On-surface radiation condition method Surface finite element Two dimensional
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0168-9274 1873-5460
DOI:	10.1016/j.apnum.2015.08.013