The virtual element method for an obstacle problem of a Kirchhoff-Love plate

被引：8

作者：

Feng, Fang ^{[1
]}

Han, Weimin ^{[2
]}

Huang, Jianguo ^{[3
,4
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[4] Shanghai Jiao Tong Univ, MOE LSC, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 103卷

关键词：

Virtual element method; Obstacle problem; Fourth-order variational inequality of the first kind; Error estimate; STOKES PROBLEM; INEQUALITIES;

D O I：

10.1016/j.cnsns.2021.106008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the numerical solution of a fourth-order elliptic variational inequality of the first kind by the virtual element method (VEM). The variational inequality models an obstacle problem for the Kirchhoff-Love plate. Both conforming and fully nonconforming VEMs are studied to solve the fourth-order elliptic variational inequality. Optimal order error estimates are derived in the discrete energy norm, under certain solution regularity assumptions. The primal-dual active algorithm is applied to solve the discrete problems. Numerical examples are reported to show the performance of the numerical methods and to illustrate the convergence orders of the numerical solutions. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：18

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