Spectral indicator method for a non-sefladjoint Steklov eigenvalue problem
Document Type
Article
Publication Date
2-1-2019
Department
Department of Mathematical Sciences
Abstract
We propose an efficient numerical method for a non-selfadjoint Steklov eigenvalue problem. The Lagrange finite element is used for discretization and the convergence is proved using the spectral perturbation theory for compact operators. The non-selfadjointness of the problem leads to non-Hermitian matrix eigenvalue problem. Due to the existence of complex eigenvalues and lack of a priori spectral information, we employ the recently developed spectral indicator method to compute eigenvalues in a given region on the complex plane. Numerical examples are presented to validate the effectiveness of the proposed method.
Publication Title
Journal of Scientific Computing
Recommended Citation
Liu, J.,
Sun, J.,
&
Turner, T.
(2019).
Spectral indicator method for a non-sefladjoint Steklov eigenvalue problem.
Journal of Scientific Computing,
79(3), 1814-1831.
http://doi.org/10.1007/s10915-019-00913-6
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/244
Publisher's Statement
© Springer Science+Business Media, LLC, part of Springer Nature 2019. Publisher's version of record: https://doi.org/10.1007/s10915-019-00913-6