Boundary element solution of the dirichlet-signorini problem by a penalty method

Abstract

A potential problem with mixed Dirichlet-Signorini boundary condition is reduced to a boundary variational inequality. Penalization yields a nonlinear integral equation in the space{ILM0001]. The stability properties of a Galerkin scheme applied to this equation are considered. Especially their dependence on the penalty parameter is analized. A suitable coupling of meshsize and penalty parameter yields asymptotic error estimates of the whole scheme.

Keywords:

• Dirichlet-Signorin
• variational inequalitie
• Galerkin method
• penalty method