Martin Alkämper, Andreas Langer
Using DUNE-ACFEM for Non-smooth Minimization of Bounded Variation Functions
Abstract The utility of Dune-ACFem is demonstrated to work well for solving a non-smooth minimization problem over bounded variation functions by implementing a primal-dual algorithm. The implementation is based on the simplification provided by Dune-ACFem. Moreover, the convergence of the discrete minimizer to the continuous one is shown theoretically.