Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem
Document Type
Article
Publication Date
5-2022
Department
Department of Mathematical Sciences
Abstract
We propose a numerical method for a non-selfadjoint Steklov eigenvalue problem of the Helmholtz equation. The problem is formulated using boundary integrals. The Nyström method is employed to discretize the integral operators, which leads to a non-Hermitian generalized matrix eigenvalue problems. The spectral indicator method (SIM) is then applied to calculate the (complex) eigenvalues. The convergence is proved using the spectral approximation theory for (non-selfadjoint) compact operators. Numerical examples are presented for validation.
Publication Title
Communications in Computational Physics
Recommended Citation
Ma, Y.,
&
Sun, J.
(2022).
Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem.
Communications in Computational Physics,
31(5), 1546-1560.
http://doi.org/10.4208/cicp.OA-2022-0016
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/16515