Contact mechanics has its application in many engineering problems. No one can walk
without frictional contact, and no car would move for the same reason. Hence contact …

The application of mortar methods in the framework of isogeometric analysis is investigated
theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly …

We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

Non-conforming domain decomposition methods provide a powerful tool for the numerical
approximation of partial differential equations. For the discretization of a non-linear …

We review different techniques to enforce essential boundary conditions, such as the
(nonhomogeneous) Dirichlet boundary condition, within a discrete variational framework …

Nonconforming domain decomposition techniques provide a powerful tool for the numerical
approximation of partial differential equations. We use a generalized mortar method based …

We consider the finite element approximation of the unilateral contact problem between
elastic bodies. We are interested in a practical problem which often occurs in finite element …

We study three mixed linear finite element methods for the numerical simulation of the two-
dimensional Signorini problem. Applying Falk's Lemma and saddle point theory to the …

In this paper a finite element formulation for frictionless contact problems with non-matching
meshes in the contact interface is presented. It is based on a non-standard variational …

We describe the main characteristics of the mortar element method, together with the usual
arguments for its numerical analysis in an abstract framework. We illustrate this presentation …