Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation

DOI10.1016/j.enganabound.2016.03.018zbMath1403.65201OpenAlexW2333908382MaRDI QIDQ1655076

Toru Takahashi, Hiroshi Isakari, Toshiro Matsumoto

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.03.018

zbMATH Keywords

nonlinear eigenvalue problemfast multipole methodperiodic problemfast direct solver for boundary element methodphotonic/phononic band structureSakurai-Sugiura method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary element methods for boundary value problems involving PDEs (65N38)

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