FEM and BEM coupling for a nonlinear transmission problem with Signorini contact. (English) Zbl 0896.65079

Carstensen, Carsten; Gwinner, Joachim

SIAM J. Numer. Anal. 34, No. 5, 1845-1864 (1997).

This paper is concerned with the finite element method and the boundary element method coupling for a nonlinear transmission problem with Signorini contact. The following aspects are considered: a variational formulation, the boundary integral operators and the exterior problem, the existence and uniqueness in the transmission problem, the numerical approximation, and the error estimates for the transmission problem.

Reviewer: N.F.F.Ebecken (Rio de Janeiro)

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74B20	Nonlinear elasticity
74A55	Theories of friction (tribology)
74M15	Contact in solid mechanics
65N38	Boundary element methods for boundary value problems involving PDEs
35J65	Nonlinear boundary value problems for linear elliptic equations
65N15	Error bounds for boundary value problems involving PDEs

Keywords:

variational inequality; coupling of finite elements and boundary elements; monotone operators; error estimates; finite element method; boundary element method; nonlinear transmission problem; Signorini contact