Rate of convergence of regularization procedures and finite element approximations for the total variation flow

Open access
Date
2005-05Type
- Journal Article
Citations
Cited 27 times in
Web of Science
Cited 28 times in
Scopus
ETH Bibliography
yes
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Abstract
We derive rates of convergence for regularization procedures (characterized by a parameter ɛ) and finite element approximations of the total variation flow, which arises from image processing, geometric analysis and materials sciences. Practically useful error estimates, which depend on only in low polynomial orders, are established for the proposed fully discrete finite element approximations. As a result, scaling laws which relate mesh parameters to the regularization parameter are also obtained. Numerical experiments are provided to validate the theoretical results and show efficiency of the proposed numerical methods. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000032943Publication status
publishedExternal links
Journal / series
Numerische MathematikVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
03619 - Prohl, Andreas
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
Show all metadata
Citations
Cited 27 times in
Web of Science
Cited 28 times in
Scopus
ETH Bibliography
yes
Altmetrics