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

作者：

Highlights：

• We apply discontinuous Galerkin methods to the non-selfadjoint Steklov eigenvalue problem arising in inverse scattering.

• Error estimate of discrete scheme is not standard due to the non-selfadjointness.

• We extend our DG algorithms to the polygonal meshes.

• Numerical examples of both selfadjoint and non-selfadjoint Steklov eigenvalue problems are reported.

摘要

•We apply discontinuous Galerkin methods to the non-selfadjoint Steklov eigenvalue problem arising in inverse scattering.•Error estimate of discrete scheme is not standard due to the non-selfadjointness.•We extend our DG algorithms to the polygonal meshes.•Numerical examples of both selfadjoint and non-selfadjoint Steklov eigenvalue problems are reported.

论文关键词：Discontinuous Galerkin method,Polygonal meshes,Non-selfadjoint Steklov eigenvalue problem,Spectral approximation

论文评审过程：Received 5 January 2020, Revised 28 March 2020, Accepted 12 April 2020, Available online 23 April 2020, Version of Record 23 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125307