Using DUNE-ACFem for non-smooth minimization of bounded variation functions

Martin Alkämper, Andreas Langer

Research output: Contribution to journalArticle

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 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.
Original languageEnglish
JournalArchive of Numerical Software
Volume5
Issue number1
DOIs
Publication statusPublished - 3 Apr 2017
Externally publishedYes

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