Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Error control and adaptivity for a variational model problem defined on functions of bounded variation

Author: Sören Bartels
Journal: Math. Comp. 84 (2015), 1217-1240
MSC (2010): Primary 65N30, 65N50
Published electronically: October 23, 2014
MathSciNet review: 3315506
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We derive a fully computable, optimal a posteriori error estimate for the finite element approximation of a total variation regularized model problem and devise an adaptive refinement strategy. Numerical experiments reveal a significant improvement over related approximations on uniformly refined triangulations.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2010): 65N30, 65N50

Retrieve articles in all journals with MSC (2010): 65N30, 65N50

Additional Information

Sören Bartels
Affiliation: Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder Str. 10, 79104 Freiburg i.Br., Germany

Keywords: Total variation, functions of bounded variation, finite elements, adaptivity, error estimation
Received by editor(s): July 17, 2012
Received by editor(s) in revised form: March 11, 2013, July 24, 2013, and September 17, 2013
Published electronically: October 23, 2014
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

American Mathematical Society