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

作者：Zhang, Shougui^*; Li, Xiaolin

来源：Boundary Value Problems, 2016, 2016(1): 62.

DOI：10.1186/s13661-016-0570-2

• Signorini boundary conditions
• fixed point
• augmented Lagrangian
• boundary element
• semismooth Newton methods

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.

• 出版日期2016-3-10
• 单位重庆师范大学