Using DUNE-ACFem for Non-smooth Minimization of Bounded Variation Functions
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/66b3ea91-6510-4cef-bd5f-fcbe87e4cb46
- author
- Alkämper, Martin and Langer, Andreas LU
- publishing date
- 2017-04-03
- 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}}, }