Coupling of finite and boundary element methods for an elastoplastic interface problem
SIAM Journal on Numerical Analysis
FEM and BEM Coupling for a Nonlinear Transmission Problem with Signorini Contact
SIAM Journal on Numerical Analysis
Convex analysis and variational problems
Convex analysis and variational problems
Applied Numerical Mathematics
A p-version finite element method for nonlinear elliptic variational inequalities in 2D
Numerische Mathematik
Adaptive hp-versions of BEM for Signorini problems
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
| Hi-index | 0.00 |
In this paper we complement recent work of Maischak and Stephan on adaptive hp-versions of the BEM for unilateral Signorini problems, respectively on FEM-BEM coupling in its h-version for a nonlinear transmission problem modelling Coulomb friction contact. Here we focus on the boundary element method in its p-version to treat a scalar variational inequality of the second kind that models unilateral contact and Coulomb friction in elasticity together. This leads to a nonconforming discretization scheme. In contrast to the work cited above and to a related paper of Guediri on a boundary variational inequality of the second kind modelling friction we take the quadrature error of the friction functional into account of the error analysis. At first without any regularity assumptions, we prove convergence of the BEM Galerkin approximation in the energy norm. Then under mild regularity assumptions, we establish an a priori error estimate that is based on a novel Cea-Falk lemma for abstract variational inequalities of the second kind.