The treatment of the locking phenomenon for a general class of variational inequalities

Authors:
Leila Slimane;Yves Renard
Affiliations:
Université de Moncton, Campus de Shippagan, 218, Boulevard J.D. Gauthier, Shippagan, Canada E8S 1P6;MIP, INSAT, Complexe scientifique de Rangueil, 31077 Toulouse, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

Citing 3
Cited 0

Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
On locking and robustness in the finite element method

SIAM Journal on Numerical Analysis
Finite Element Method for Elliptic Problems

Finite Element Method for Elliptic Problems

Quantified Score

Hi-index	7.29

Visualization

Abstract

We present the analysis of a class of variational inequalities depending on a small nonnegative parameter in a singular way, for which direct numerical approximation yield a numerical locking phenomenon. It consists in extending some robust approaches to variational inequalities, mainly, conforming and nonconforming methods. We give general sufficient conditions on the discrete problem insuring a uniform convergence relatively to the small parameter, and consequently avoiding numerical locking.