Stability of perfectly matched layer regions in generalized finite difference method for wave problems

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• 作者：E. Salete^a ; ^{esalete@ind.uned.es" class="auth_mail" title="E-mail the corresponding author} ; J.J. Benito^a ; ^{jbenito@ind.uned.es" class="auth_mail" title="E-mail the corresponding author} ; F. Ureñ ; a^b ; ^{fuprieto@terra.com" class="auth_mail" title="E-mail the corresponding author} ; L. Gavete^c ; ^{lu.gavete@upm.es" class="auth_mail" title="E-mail the corresponding author} ; M. Ureñ ; a^a ; ^{miguelurenya@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; A. Garcí ; a^a ; ^{angelochurri@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Meshless methods ; Generalized finite difference method ; Waves propagation ; Perfectly matched layer ; Stability
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：312
• 期：Complete
• 页码：231-239
• 全文大小：692 K

文摘

The generalized finite difference method (GFDM) has been proved to be a good procedure to solve the problem of wave propagation. As other numerical methods, when using a finite model to study an unbounded domain, a way of avoiding wave reflection at the boundaries is needed. Perfectly Matched Layers (PML) absorbing boundary conditions are commonly used.

This paper aims to obtain a Perfectly Matched Layer formulation for the GFDM, for which the stability is guaranteed.