Shape optimization in contact problems. Approximation and numerical realization
A Mixed Finite Element Method Close to the Equilibrium Model.
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
The paper deals with an iterative method for numerical solving frictionless contact problems for two elastic bodies. Each iterative step consists of a Dirichlet problem for the one body, a contact problem for the other one and two Neumann problems to coordinate contact stresses. Convergence is proved by the Banach fixed point theorem in both continuous and discrete case. Numerical experiments indicate scalability of the algorithm for some choices of the relaxation parameter.
Control/fictitious domain method for solving optimal shape design problems
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