The virtual element method for a nonhomogeneous double obstacle problem of Kirchhoff plate

被引：0
|
作者：
Feng, Fang [1 ]
Huang, Jianguo [2 ,3 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[3] Shanghai Jiao Tong Univ, MOE LSC, Shanghai 200240, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 71卷
基金：
中国博士后科学基金;
关键词：
Virtual element method; Nonhomogeneous obstacle problem; Error estimate; The primal-dual active set algorithm; STOKES PROBLEM;
D O I：
10.1016/j.nonrwa.2023.103831
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is intended to propose and analyze the lowest order conforming and nonconforming virtual element methods (VEMs) for a nonhomogeneous double obstacle problem in fourth-order variational inequality. We first present an abstract framework for the error analysis of an abstract discrete method. Then, we develop the conforming and fully nonconforming VEMs for the previous problem, with the optimal error estimates obtained by using the previous abstract framework combined with two modified interpolation operators and the related estimates. The discrete problem is solved by the primal-dual active set algorithm and the numerical results are in good agreement with theoretical findings.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：16
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