A posteriori error control for fully discrete Crank-Nicolson schemes
Bänsch E, Karakatsani F, Makridakis C (2012)
Publication Type: Journal article, Original article
Publication year: 2012
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 50
Pages Range: 2845-2872
Journal Issue: 6
DOI: 10.1137/110839424
Abstract
We derive residual-based a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank--Nicolson method, and the space discretization uses finite element spaces that are allowed to change in time. The main tool in our analysis is the comparison with an appropriate reconstruction of the discrete solution, which is introduced in the present paper.
Read More: http://epubs.siam.org/doi/abs/10.1137/110839424
Read More: http://epubs.siam.org/doi/abs/10.1137/110839424
Authors with CRIS profile
Involved external institutions
University of Cyprus (UCY) / Πανεπιστήμιο Κύπρου
Cyprus (CY)
University of Crete / Πανεπιστήμιο Κρήτης
Greece (GR)
Cyprus (CY)
University of Crete / Πανεπιστήμιο Κρήτης
Greece (GR)
How to cite
APA:
Bänsch, E., Karakatsani, F., & Makridakis, C. (2012). A posteriori error control for fully discrete Crank-Nicolson schemes. SIAM Journal on Numerical Analysis, 50(6), 2845-2872. https://dx.doi.org/10.1137/110839424
MLA:
Bänsch, Eberhard, F. Karakatsani, and Charalambos Makridakis. "A posteriori error control for fully discrete Crank-Nicolson schemes." SIAM Journal on Numerical Analysis 50.6 (2012): 2845-2872.
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