逆散射中Steklov特征值问题的一种基于移位逆迭代的多网格离散化方法

IF 0.9 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-01-01 DOI:10.1515/math-2022-0607

Jiali Xie, H. Bi

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引用次数: 0

摘要

摘要计算Steklov特征值的数值方法以其重要的物理背景和广泛的应用引起了学术界的关注。本文讨论了反散射中Steklov特征值问题的基于移位逆迭代的多重网格离散化方案，并给出了该方案的误差估计。此外，在后验误差指标的基础上，设计了一种自适应多重网格算法。最后，通过算例验证了该方案的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering

Abstract Numerical methods for computing Steklov eigenvalues have attracted the attention of academia for their important physical background and wide applications. In this article we discuss the multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering, and give the error estimation of the proposed scheme. In addition, on the basis of the a posteriori error indicator, we design an adaptive multigrid algorithm. Finally, we present numerical examples to show the efficiency of the proposed scheme.

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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: