An FMM for waveguide problems of 2-D Helmholtz‿equation and its application to eigenvalue problems
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- 作者：Ryota Misawa ; Kazuki Niino ; Naoshi Nishimura ; nchml@i.kyoto-u.ac.jp" class="auth_mail" title="E-mail the corresponding author
- 关键词：Green&rsquo ; s function ; FMM ; Helmholtz&rsquo ; equation ; Waveguide problems ; Resonance frequencies ; SS method
- 刊名：Wave Motion
- 出版年：2016
- 出版时间：June 2016
- 年：2016
- 卷：63
- 期：Complete
- 页码：1-17
- 全文大小：887 K
文摘
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An FMM for Green’s function in Neumann infinite strip in 2D is presented.
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Method of images and lattice sum are used to formulate the FMM.
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The FMM is continued analytically into complex frequencies in preparation for the use with the Sakurai–Sugiura projection method (SS method).
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Resonance problems are solved with the FMM and the SS method.
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Numerical examples show the accuracy and the efficiency of the proposed method.