Mixed finite element methods for the Signorini problem with friction - Archive ouverte HAL Access content directly
Journal Articles Numerical Methods for Partial Differential Equations Year : 2006

Mixed finite element methods for the Signorini problem with friction

(1, 2) , (3)
1
2
3

Abstract

In this article, we propose and study different mixed variational methods in order to approximate the Signorini problem with friction using finite elements. The discretized normal and tangential constraints at the contact interface are expressed by using either continuous piecewise linear or piecewise constant Lagrange multipliers in the saddle-point formulation. A priori error estimates are established and several numerical examples corresponding to the different choices of the discretized normal and tangential constraints are carried out.

Dates and versions

insu-00355157 , version 1 (22-01-2009)

Identifiers

Cite

Laurent Baillet, T. Sassi. Mixed finite element methods for the Signorini problem with friction. Numerical Methods for Partial Differential Equations, 2006, 22 (6), pp.1489 à 1508. ⟨10.1002/num.20147⟩. ⟨insu-00355157⟩
39 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More