| Abstract: |
| We consider a dynamic visco-elastic contact problem of a non-clamped body governed by a normal damped response condition with a unilateral constraint. The mechanical problem in its weak formulation reduces to a variational-hemivariational inequality involving a multivalued term generated by a Clarke
subdifferential of a locally Lipschitz potential. We study a fully discrete numerical scheme for the variational problem based on finite difference appriximation for time variable and the finite element approximation for the spatial one. Our goal is to derive an error estimate for the studied scheme with respect to the time and spatial discretization parameters. |
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