This work demonstrates new stability findings in dynamic contact problems using Nitsche’s method for numerical simulations, indicating important performance improvements.
This work focuses on the numerical performance of the Nitsche-based Finite Element Method for dynamic unilateral contact problems combined with two implicit one-step time-marching schemes. The non-linear contact boundary conditions cause irregularities, which may lead to unstable performance and potential divergence during simulations. By focusing on the discontinuities inherent in dynamic contact problems, we provide new stability results for the proposed methods.
No takes yet. Share an insight, caveat, or question.
Chouly et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: