2次元Helmholtz方程式の周期境界値問題に現れる固有値問題に対するSakurai-Sugiura法と周期多重極法を用いた数値計算(実用)
Calculation of Eigenvalues Related to 2 Dimensional Periodic Boundary Value Problems for the Helmholtz Equation Using the Sakurai-Sugiura Method and Periodic Fast Multipole Method(Practice)

Taichiro Nose, Naoshi Nishimura
2014 Nihon Oyo Suri Gakkai ronbunshi  
. This paper presents a method Qf eigenvalue calculation related to periodic boundary va ユ ue problems f{)r the Helmholtz eqllation in two dimensiQns based on the Sakurai − Sugiura projection method and periodic FMM . The Sakurai − Sugiura projection method solves nonlinear eigenvalue problem8 using contour integrals and is considered to be suitable for solving eigenvalue problems in conjuction with bol1 皿 dary elemen 七 methods . We apply this method to eigenvalue prQblems specific to periodic
more » ... oundary value preblems related to guided waves and anomalies . We the 皿 validate the prQposed method with nurnerical examples ,
doi:10.11540/jsiamt.24.3_185 fatcat:gysafolqnncdleq6qlnkwkqiuy