An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes
Journal of Scientific Computing
Superconvergence of finite element method for the Signorini problem
Journal of Computational and Applied Mathematics
A Sign Preserving Mixed Finite Element Approximation for Contact Problems
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
On convergence of the penalty method for unilateral contact problems
Applied Numerical Mathematics
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Nonconforming domain decomposition methods provide a powerful tool for the numerical approximation of partial differential equations. For the discretization of a nonlinear multibody contact problem, we use linear mortar finite elements based on dual Lagrange multipliers. Under some regularity assumptions on the solution, an optimal convergence order of $h^{0.5+\nu}$, $0