Numerical Analysis of the Dual Problem

Abstract

In this last chapter we present some results on the numerical analysis for the dual formulation of the elastoplasticity problem. For various numerical approximation schemes, we will derive error estimates under sufficient regularity assumptions on the solution and prove convergence assuming basic regularity of the solution. In Section 13.1 we study a family of generalized midpoint schemes for the stress problem. For the dual problem, we analyze several time-discrete schemes in Section 13.2 and fully discrete schemes in Section 13.3.