Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem

David Doyen (1) , Alexandre Ern (2)

1 EDF - EDF
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

A new space semi-discretization for the dynamic Signorini problem, based on a modification of the mass term, has been recently proposed. We prove the convergence of the space semi-discrete solutions to a solution of the continuous problem in the case of a visco-elastic material.

Mots clés: Dynamic Signorini problem; unilateral contact; visco-elastic material; modified mass method; finite elements; convergence; compactness

Domaines: Analyse numérique [math.NA]

David Doyen, Alexandre Ern. Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem. Communications in Mathematical Sciences, 2009, 7 (4), pp.1063-1072. ⟨hal-00404248⟩