Least-squares stabilized augmented Lagrangian multiplier method for elastic contact

• Stabilized method for finite element solution of elastic contact problems.
• Stabilized augmented Lagrange multiplier method for contact.
• FEA solution of Hertzian contact problem.

In this paper, we propose a stabilized augmented Lagrange multiplier method for the finite element solution of small deformation elastic contact problems. We limit ourselves to friction-free contact with a rigid obstacle, but the formulation is readily extendable to more complex situations.