Mortaring for linear elasticity using mixed and stabilized finite elements

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 criteria P1−P1 approximation. Our numerical results demonstrate convergence tie contact problems. Moreover, show that can be successfully extended three dimensional