Conforming element method and shifted-inverse two-grid dicretization for the fourth-order Steklov eigenvalue problem

被引：0
|
作者：
Yang, Jie [1 ]
Yang, Qingsong [1 ]
Han, Jiayu [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年 / 70卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fourth-order Steklov eigenvalue problem; Conforming element; Error estimate; Two-grid scheme; A-POSTERIORI; APPROXIMATION; POSITIVITY;
D O I：
10.1007/s12190-024-02056-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fourth-order Steklov eigenvalue problem is essential in analyzing the supported plate and the deformation of the linear elastic hinge phenomenon. This paper conducts an error analysis of the conforming element method for this problem and subsequently proposes a shifted-inverse two-grid scheme. The optimal convergence order of both methods are established through rigorous proof. Numerical examples are presented on various domains to demonstrate the effectiveness of the proposed two-grid scheme in comparison with solving the eigenvalue problem using a direct solver.
引用
收藏
页码：2487 / 2506
页数：20
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