A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem

被引：3
作者：
Li, Yanjun [1 ,2 ]
Bi, Hai [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Guizhou, Peoples R China
[2] Guizhou Univ Finance & Econ, Sch Big Data Applicat & Econ, Guiyang 550025, Guizhou, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2023年 / 188卷
基金：
中国国家自然科学基金;
关键词：
Steklov-Lam? eigenvalue problem; Discontinuous Galerkin method; Linear elasticity; Locking free; A priori error estimate; FINITE-ELEMENT METHODS; INCOMPRESSIBLE ELASTICITY; A-PRIORI; APPROXIMATION;
D O I：
10.1016/j.apnum.2023.02.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discontinuous Galerkin finite element method of Nitsche's version for the Steklov eigenvalue problem in linear elasticity is presented. The a priori error estimates are analyzed under a low regularity condition, and the robustness with respect to nearly incompressible materials (locking-free) is proven. Furthermore, some numerical experiments are reported to show the effectiveness and robustness of the proposed method.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：21 / 41
页数：21
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