Domain decomposition methods for problems of unilateral contact between elastic bodies with nonlinear Winkler covers
Provides a numerical method for contact mechanics problems with nonlinear covers, but the contribution is incremental as it extends existing domain decomposition techniques to a specific nonlinear boundary condition.
Proposed domain decomposition methods of Robin-Robin type for unilateral contact problems with nonlinear Winkler covers, validated through numerical experiments with finite element approximations.
In this paper we propose on continuous level a class of domain decomposition methods of Robin-Robin type to solve the problems of unilateral contact between elastic bodies with nonlinear Winkler covers. These methods are based on abstract nonstationary iterative algorithms for nonlinear variational equations in reflexive Banach spaces. We also provide numerical investigations of obtained methods using finite element approximations.