Combined boundary integral equations for acoustic scattering-resonance problems

DOI10.1002/mma.4075zbMath1372.35082OpenAlexW2472097201MaRDI QIDQ2977939

Gerhard Unger, Olaf Steinbach

Publication date: 20 April 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4075

zbMATH Keywords

eigenvalue problemHelmholtz equationNeumann problemGalerkin boundary element approximation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

Related Items (8)

On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acoustics ⋮ Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems ⋮ Boundary Integral Equations for Calculating Complex Eigenvalues of Transmission Problems ⋮ Fictitious eigenfrequencies in the BEM for interior acoustic problems ⋮ Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ Characteristic equations for true and fictitious eigenvalues of Muller boundary integral equations ⋮ Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities ⋮ A rational approximation method for solving acoustic nonlinear eigenvalue problems

Uses Software

• DLMF

Cites Work

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