A primal-dual finite element method for scalar and vectorial total variation minimization
Based on the Fenchel duality we build a primal-dual framework for minimizing a general functional consisting of a combined L1 and L2 data-fidelity term and a scalar or vectorial total variation regularisation term. The minimization is performed over the space of functions of bounded variations and appropriate discrete subspaces. We analyze the existence and uniqueness of solutions of the respectiv
