@Article{CiCP-31-5,
author = {Yunyun, Ma and Sun, Jiguang},
title = {Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem},
journal = {Communications in Computational Physics},
year = {2022},
volume = {31},
number = {5},
pages = {1546--1560},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0016},
url = {https://global-sci.com/article/79556/integral-equation-method-for-a-non-selfadjoint-steklov-eigenvalue-problem}
}