Some stability results for frictionless contact problems in elastodynamics formulated with Nitsche’s method
Abstract
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.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Railway Engineering and Dynamics
Brake Systems and Friction Analysis
Publication details
- Journal / source
- SMAI Journal of Computational Mathematics
- Publisher
- MathDoc/Centre Mersenne
- Volume
- 12
- Pages
- 289–329
- Publication date
- 3 July 2026
- Language
- EN