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

  • Martin Alkämper (Author)
    University of Stuttgart
  • Andreas Langer (Author)

Identifiers (Article)

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.

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Published
2017-04-03
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
Subjects
68U10; 65N30; 49M29; 65K10; 65N21
Keywords
Finite Elements; DUNE; Total Variation Minimization; Denoising; Mixed Noise; Image Reconstruction