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

Alkämper, Martin and Langer, Andreas LU (2017) In Archive of Numerical Software 5(1).
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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author
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publishing date
type
Contribution to journal
publication status
published
subject
in
Archive of Numerical Software
volume
5
issue
1
ISSN
2197-8263
DOI
10.11588/ans.2017.1.27475
language
English
LU publication?
no
id
66b3ea91-6510-4cef-bd5f-fcbe87e4cb46
date added to LUP
2021-03-15 22:46:19
date last changed
2023-10-13 11:48:15
@article{66b3ea91-6510-4cef-bd5f-fcbe87e4cb46,
  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.<br/>}},
  author       = {{Alkämper, Martin and Langer, Andreas}},
  issn         = {{2197-8263}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{1}},
  series       = {{Archive of Numerical Software}},
  title        = {{Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions}},
  url          = {{http://dx.doi.org/10.11588/ans.2017.1.27475}},
  doi          = {{10.11588/ans.2017.1.27475}},
  volume       = {{5}},
  year         = {{2017}},
}