An adaptive finite element method for problems in perfect plasticity

We present recent progress in the development of an self-adaptive finite el ement solver for problems in elastoplasticity. The adaptive mesh generation is based on a posteriori error estimates which are derived via duality arg uments yielding bounds for functionals of the error. The application of thi s approach for the stationary Hencky model is well understood. Its formal e xtension to the non-stationary Prandtl-Reuss model within the context of an implicit load-stepping process works surprisingly well. This effect is the oretically explained.