Premium
Mixed finite element methods for the Signorini problem with friction
Author(s) -
Baillet Laurent,
Sassi Taoufik
Publication year - 2006
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20147
Subject(s) - mathematics , piecewise , lagrange multiplier , discretization , finite element method , a priori and a posteriori , unilateral contact , piecewise linear function , saddle point , constant (computer programming) , constant coefficients , partial differential equation , mathematical analysis , saddle , mathematical optimization , geometry , philosophy , physics , epistemology , computer science , thermodynamics , programming language
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. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006