An augmented Lagrangian method for the Signorini boundary value problem with BEM

Boundary value problems

Xiaolin Li¹  Shougui Zhang¹ 

[1] School of Mathematical Sciences, Chongqing Normal University, Chongqing, P.R. China

关键词: Signorini boundary conditions;    fixed point;    augmented Lagrangian;    boundary element;    semismooth Newton methods;   

DOI  :  10.1186/s13661-016-0570-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We analyze augmented Lagrangian and boundary element methods for the Signorini boundary value problem of Laplacian. The boundary variational formulation is presented by the boundary integral operators, and the Signorini boundary conditions are formulated as a fixed point problem. Semismooth Newton methods are applied for the numerical solution of the problem. We prove the convergence of the method and confirm the theory by some numerical experiments.

【 授权许可】

CC BY