Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions

Martin Alkämper; Andreas Langer

doi:10.11588/ans.2017.1.27475

Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions

Martin Alkämper, Andreas Langer

University of Stuttgart

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

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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.

Originalspråk	engelska
Tidskrift	Archive of Numerical Software
Volym	5
Nummer	1
DOI	https://doi.org/10.11588/ans.2017.1.27475
Status	Published - 2017 apr. 3
Externt publicerad	Ja

Ämnesklassifikation (UKÄ)

Beräkningsmatematik

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10.11588/ans.2017.1.27475

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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.",

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Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions

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Ämnesklassifikation (UKÄ)

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