Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Rigid-Body Dynamics with Friction and Impact
SIAM Review
Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
SIAM Journal on Numerical Analysis
Journal of Computational and Applied Mathematics
Time-Integration Schemes for the Finite Element Dynamic Signorini Problem
SIAM Journal on Scientific Computing
Hi-index | 0.00 |
The aim of the present work is to analyze the modified mass method for the dynamic Signorini problem with Coulomb friction. We prove that the space semidiscrete problem is equivalent to an upper semicontinuous one-sided Lipschitz differential inclusion and is, therefore, well-posed. We derive an energy balance. Next, considering an implicit time-integration scheme, we prove that, under a CFL-type condition on the discretization parameters, the fully discrete problem is well-posed. For a fixed discretization in space, we also prove that the fully discrete solutions converge to the space semidiscrete solution when the time step tends to zero.