Variationally consistent approximation of the non-penetration conditions and friction laws was introduced by Wohlmuth [Acta Numer. 20 (2011) 569–734] as a powerful tool for the effective discretization of contact problems. This approach is especially useful when the potential contact interface is large and curved or when non-matching grids are applied. The point of this note is to give bounds on the singular values of the constraint matrices arising from the variationally consistent approximation and to indicate their application in the analysis of the scalable duality based domain decomposition algorithms for the solution of multi-body contact problems [Comput. Methods Appl. Mech. Eng. 247–248 (2012), 37–50.]. The theoretical results are i...
This work presents a numerical method for the solution of variational inequalities arising in nonsmo...
A variational inequality formulation is derived for some frictional contact problems from linear ela...
International audienceIn this paper, we analyze the convergence of the Schwarz method for contact pr...
AbstractThe paper deals with the numerical solution of the quasi-variational inequality describing t...
International audienceThis paper represents a continuation of Barboteu et al. (Analysis of a contact...
International audienceThis paper deals with dual methods for solving unilateral problems with fricti...
This paper deals with the construction of efficient algorithms for the solution of the nite dimensio...
In this paper the numerical solution of the elastic frictionless contact problem is obtained by mean...
Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of...
The present work extends the non-smooth contact class of algorithms introduced by Kane et al. to the...
A variationally consistent approximation of contact conditions by means of biorthogonal mortars was ...
This contribution deals with a mixed variational formulation of 3D contact problems with the simples...
This book presents a comprehensive and self-contained treatment of the authors’ newly developed scal...
Three-dimensional contact problems with given friction and a coeficient of friction depending on the...
Contact mechanics can be addressed numerically by finite elements using either a penalty formulation...
This work presents a numerical method for the solution of variational inequalities arising in nonsmo...
A variational inequality formulation is derived for some frictional contact problems from linear ela...
International audienceIn this paper, we analyze the convergence of the Schwarz method for contact pr...
AbstractThe paper deals with the numerical solution of the quasi-variational inequality describing t...
International audienceThis paper represents a continuation of Barboteu et al. (Analysis of a contact...
International audienceThis paper deals with dual methods for solving unilateral problems with fricti...
This paper deals with the construction of efficient algorithms for the solution of the nite dimensio...
In this paper the numerical solution of the elastic frictionless contact problem is obtained by mean...
Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of...
The present work extends the non-smooth contact class of algorithms introduced by Kane et al. to the...
A variationally consistent approximation of contact conditions by means of biorthogonal mortars was ...
This contribution deals with a mixed variational formulation of 3D contact problems with the simples...
This book presents a comprehensive and self-contained treatment of the authors’ newly developed scal...
Three-dimensional contact problems with given friction and a coeficient of friction depending on the...
Contact mechanics can be addressed numerically by finite elements using either a penalty formulation...
This work presents a numerical method for the solution of variational inequalities arising in nonsmo...
A variational inequality formulation is derived for some frictional contact problems from linear ela...
International audienceIn this paper, we analyze the convergence of the Schwarz method for contact pr...