On approximation of solutions to variational problems in the theory of perfect plasticity (Q1842498)

The article is dealing with properties of variational-difference schemes with discontinuous base functions. We are interested mainly in possibility of approximation of a stress-tensor-function, i.e., of the solution to the dual problem. We show that the application of extended statement enables us to construct a tensor-function sequence approximating the desired stress field. In the case where generalized solution is sufficiently smooth interior of domain, we prove the corresponding qualified bounds for the rate of convergence.