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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Archive of Numerical Software
Volume	5
Issue number	1
DOIs	https://doi.org/10.11588/ans.2017.1.27475
Publication status	Published - 2017 Apr 3
Externally published	Yes

Subject classification (UKÄ)

Computational Mathematics

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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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AB - 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

Abstract

Subject classification (UKÄ)

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