Total FETI based algorithm for contact problems with additional non-linearities

The paper is concerned with application of a new variant of the FETI domain decomposition method called Total FETI to the solution to contact problems. Its basic idea is that both the compatibility between adjacent sub-domains and Dirichlet boundary conditions are enforced by Lagrange multipliers. We introduce the Total FETI technique for solution to the variational inequalities governing the equilibrium of system of bodies in contact. Moreover, we show implementation of the method into a code which treats the material and geometric non-linear effects. Numerical experiments were carried out with our in-house general purpose finite element package PMD.