Explicit and efficient error estimation for convex minimization problems

We combine a systematic approach for deriving general posteriori error estimates convex minimization problems based on duality relations with recently derived generalized Marini formula. The are quasi constant-free and apply to large class of variational including the p p -Dirichlet problem, as well degenerate minimization, obstacle image de-noising problems. In addition, these comparison given non-conforming finite element solution. For bounds equivalent residual type and, hence, reliable efficient.