Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions
AbstractThe 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 algo-
rithm. 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.
DescriptionThe source code. To install it, follow the instructions in the paper.
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Academic discipline and sub-disciplines
Mathematics, Scientific Computing
Contributor or sponsoring agency
Cluster of excellence in Simulation Technology at University of Stuttgart, University of Stuttgart
Finite Elements, DUNE, Total Variation Minimization, Denoising, Mixed Noise, Image Reconstruction