The purpose of this work is to study mortar methods for linear elasticity using standard low order finite element spaces. Based on residual stabilization, we introduce a stabilized method and compare it the unstabilized mixed method. For simplicity, both use Lagrange multiplier defined trace mesh inherited from one side interface only. We derive quasi-optimality estimate present stability crite...

The rigorous derivation of linear elasticity from finite by means $\Gamma$ -convergence is a well-known result, which has been extended to different models also beyond the elastic regime. However, in these results applied forces are usually assumed be dead loads, that is, their density reference configuration independent actual deformation. In this paper we begin study variational presence live...

A set of equilibrium equations for a biphasic polymer gel are considered with the end purpose of studying stress and deformation in confinement problems encountered in connection with biomedical implants. The existence of minimizers for the gel energy is established first. Further, the small-strain equations are derived and related to the linear elasticity equations with parameters dependent on...

In this paper, we construct new finite element methods for the approximation of the equations of linear elasticity in three space dimensions that produce direct approximations to both stresses and displacements. The methods are based on a modified form of the Hellinger–Reissner variational principle that only weakly imposes the symmetry condition on the stresses. Although this approach has been...

The discretised linear elasticity problem is solved by the preconditioned conjugate gradient (pcg) method. Mainly we consider the linear isotropic case but we also comment on the more general linear orthotropic problem. The preconditioner is based on the separate displacement component (sdc) part of the equations of elasticity. The preconditioning system consists of two or three subsystems (in ...