An augmented Lagrangian method for the Signorini boundary value problem with BEM. (English) Zbl 1349.35137
Summary: 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.
MSC:
| 35J86 | Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators |
| 47H10 | Fixed-point theorems |
Keywords:
Signorini boundary conditions; fixed point; augmented Lagrangian; boundary element; semismooth Newton methodsReferences:
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