On The Coupling Of Boundary Integral And Finite Element Methods For Signorini Problems
Wei-jun Tang 1, Hong-yuan Fu 1, Long-jun Shen 11 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China
In this paper, a exterior Signorini problem is reduced to a variational inequality on a bounded inner region with the help of a coupling of boundary integral and finite element methods. We established a equivalence between the original exterior Signorini problem and the variational inequality on the bounded inner region coupled with two integral equations on an auxiliary boundary. We also introduce a finite element approximation of the variational inequality and a boundary element approximation of the integral equations. Furthermore, the optimal error estimates are given.
Key words: Boundary element; finite element; Signorini problems.