Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering
- 发布时间:2025-04-30
- 论文名称:Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering
- 发表刊物:Applied Mathematics and Computation
- 摘要: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 H 1 -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.
© 2020 Elsevier Inc
- 合写作者:Jian Meng, Liquan Mei
- 卷号:381(2020)125307
- 是否译文:否
- 发表时间:2020-04-23
- 合写作者:Jian Meng, Liquan Mei