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

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• 作者：Chokri Chniti^a ; ^b ; ^{cachniti@uqu.edu.sa" class="auth_mail" title="E-mail the corresponding author} ; Sharefa Eisa Ali Alhazmi^c ; ^{sehazmi@uqu.edu.sa" class="auth_mail" title="E-mail the corresponding author} ; Sami H. Altoum^a ; ^{shtoum@uqu.edu.sa" class="auth_mail" title="E-mail the corresponding author} ; Moncef Toujani^d ; ^{aatoujani@uqu.edu.sa" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Acoustic scattering ; On-surface radiation condition method ; Numerical method ; Surface finite element
• 刊名：Applied Numerical Mathematics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：101
• 期：Complete
• 页码：53-70
• 全文大小：1068 K

文摘

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.