A POSTERIORI ERROR ESTIMATES OF THE STABILIZED CROUZEIX-RAVIART FINITE ELEMENT METHOD FOR THE LAMÉ-NAVIER EQUATIONS

We obtain a posteriori error estimates for a variant of (non-locking) stabilized non-conforming methods based on the Crouzeix-Raviart element introduced by P. Hansbo and M.G. Larson in [M2AN 37 (2003) 63-72]. We derive upper and lower a posteriori error bounds which are robust with respect to the nearly incompressible materials.