Boundary augmented Lagrangian method for the Signorini problem

被引：2
|
作者：
Zhang, Shougui [1 ]
Li, Xiaolin [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 400047, Peoples R China
来源：
APPLICATIONS OF MATHEMATICS | 2016年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Signorini problem; augmented Lagrangian; fixed point; Steklov-Poincare operator; boundary integral equation; PROJECTION ITERATIVE ALGORITHM; ELEMENT METHOD; VARIATIONAL-INEQUALITIES; CONTACT PROBLEMS;
D O I：
10.1007/s10492-016-0129-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An augmented Lagrangian method, based on boundary variational formulations and fixed point method, is designed and analyzed for the Signorini problem of the Laplacian. Using the equivalence between Signorini boundary conditions and a fixed-point problem, we develop a new iterative algorithm that formulates the Signorini problem as a sequence of corresponding variational equations with the Steklov-Poincar, operator. Both theoretical results and numerical experiments show that the method presented is efficient.
引用
收藏
页码：215 / 231
页数：17
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