Boundary Integral Equations for Calculating Complex Eigenvalues of Transmission Problems

DOI10.1137/16M1087436zbMath1365.35101arXiv1608.00500OpenAlexW3101053097MaRDI QIDQ5346788

Naoshi Nishimura, Kazuki Niino, Ryota Misawa

Publication date: 29 May 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00500

zbMATH Keywords

boundary integral equationseigenvalue problemsresonancetransmission problems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Eigenvalue problems for integral equations (45C05)

Related Items (12)

Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems ⋮ Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem ⋮ Helmholtz equation and non-singular boundary elements applied to multi-disciplinary physical problems ⋮ Fictitious eigenfrequencies in the BEM for interior acoustic problems ⋮ Resonance frequencies of arbitrarily shaped dielectric cylinders ⋮ Detecting near resonances in acoustic scattering ⋮ Characteristic equations for true and fictitious eigenvalues of Muller boundary integral equations ⋮ Muller boundary integral equations for solving generalized complex-frequency eigenvalue problem ⋮ Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities ⋮ Muller boundary integral equations in the microring lasers theory ⋮ Stability of boundary element methods for the two dimensional wave equation in time domain revisited ⋮ Accurate simulation of on-threshold modes of microcavity lasers with active regions using Galerkin method

Uses Software

• FEAST

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