Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions
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Identifiers (Files)
Abstract
The utility of Dune-ACFem is demonstrated to work well for solving a non-smoothminimization 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.
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Supplementary Content
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Source Code
DescriptionThe source code. To install it, follow the instructions in the paper.
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Tex Sources
DescriptionThis tarball contains all data needed to compile the paper. In particular the images and the graphs presented.
Published
2017-04-03
Issue
Section
Language
en
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
Keywords
Finite Elements, DUNE, Total Variation Minimization, Denoising, Mixed Noise, Image Reconstruction
