Details

Autor(en) / Beteiligte

• Liu, J.
• Sun, J.
• Turner, T.

Titel

Spectral Indicator Method for a Non-selfadjoint Steklov Eigenvalue Problem

Ist Teil von

• Journal of scientific computing, 2019-06, Vol.79 (3), p.1814-1831

Ort / Verlag

New York: Springer US

Erscheinungsjahr

2019

Quelle

SpringerLink

Beschreibungen/Notizen

• 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.