Year: 2022
Author: Yunyun Ma, Jiguang Sun
Communications in Computational Physics, Vol. 31 (2022), Iss. 5 : pp. 1546–1560
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0016
Communications in Computational Physics, Vol. 31 (2022), Iss. 5 : pp. 1546–1560
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Steklov eigenvalues non-selfadjoint problems integral equations Nyström method spectral projection.