A mixed variational inequality method for solving Signorini problems

被引：0

作者：

Cheng, Yongfeng ^{[1
]}

Nie, Zhibao ^{[1
]}

Ding, Shijun ^{[1
]}

Liu, Kaiyuan ^{[3
]}

Ding, Mintao ^{[1
]}

Fan, Zibo ^{[2
]}

机构：

[1] China Elect Power Res Inst, Geotech Engn Lab, Beijing 102401, Peoples R China

[2] West Anhui Univ, Sch Architecture & Civil Engn, Luan 237012, Anhui, Peoples R China

[3] China Three Gorges Corp, Inst Sci & Technol, New Energy Technol Innovat Ctr, Beijing 100038, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2023年 / 147卷

基金：

中国国家自然科学基金;

关键词：

Signorini problem; Variational inequality; Boundary element method; Projection -contraction algorithm; BOUNDARY-ELEMENT METHOD; FUNDAMENTAL-SOLUTIONS; NUMERICAL-SOLUTION; SEEPAGE PROBLEMS; ALGORITHM; MODEL;

D O I：

10.1016/j.enganabound.2022.11.036

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a new iterative method for solving Signorini problems. Boundary integral equations are established by discretizing the boundary of the problem, and the system equations related only to the unknown variables on the boundary of the problem are derived. Then, the Signorini boundary conditions of the problem are expressed as equivalent variational inequalities. By considering a simultaneous system of equations and variational inequalities, the Signorini problem is reduced to a mixed variational inequality problem. Finally, a compatibility iteration algorithm for solving mixed variational inequalities is designed based on the projection -contraction algorithm. Several examples are tested to demonstrate the accuracy and effectiveness of the proposed algorithm.

引用

页码：59 / 68

页数：10

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