Proceedings of the 3rd Dune User Meeting (2015)
How to cite this chapter

Alkämper, Martin and Langer, Andreas: Using DUNE-ACFEM for Non-smooth Minimization of Bounded Variation Functions, in: Blatt, Markus, Flemisch, Bernd and Sander, Oliver (Eds.): Proceedings of the 3rd Dune User Meeting (2015): Archive of Numerical Software - Special Issue 2017, Heidelberg: heiBOOKS, 2017, p. 3-19. https://doi.org/10.11588/heibooks.280.c3278

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ISBN 978-3-946531-60-9 (PDF)
ISBN 978-3-946531-61-6 (Softcover)

Published 24.07.2017.


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.