A Nitsche finite element method for dynamic contact

Franz Chouly (1) , Patrick Hild (2) , Yves Renard (3)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 MMCS - Modélisation mathématique, calcul scientifique

We present a new approximation of elastodynamic frictionless contact problems based both on the finite element method and on an adaptation of Nitsche's method which was initially designed for Dirichlet's condition.

Mots clés: unilateral contact; elastodynamics; finite elements; Nitsche's method; time-marching schemes; stability

Domaines: Analyse numérique [math.NA]

Franz Chouly, Patrick Hild, Yves Renard. A Nitsche finite element method for dynamic contact. 11th World Congress on Computational Mechanics (WCCM XI), Jul 2014, Barcelona, Spain. pp.a1255. ⟨hal-01061496⟩