Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering

Jian Meng and Liquan Mei

Applied Mathematics and Computation, 2020, vol. 381, issue C

Abstract: In this paper, we apply discontinuous Galerkin methods to the non-selfadjoint Steklov eigenvalue problem arising in inverse scattering. The variational formulation of the problem is non-selfadjoint and does not satisfy H1-elliptic condition. By using the spectral approximation theory of compact operators, we prove the spectral approximation and optimal convergence order for the eigenvalues. Finally, some numerical experiments are reported to show that the proposed numerical schemes are efficient for real and complex Steklov eigenvalues.

Keywords: Discontinuous Galerkin method; Polygonal meshes; Non-selfadjoint Steklov eigenvalue problem; Spectral approximation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:381:y:2020:i:c:s0096300320302733

DOI: 10.1016/j.amc.2020.125307

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