Space and time reconstructions in a posteriori analysis of evolution problems
ESAIM. Proceedings, Tome 21 (2007), pp. 31-44
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We review some recent results on a posteriori error analysis of evolution equations based on appropriate reconstruction operators. These operators are used to derive reformulations of the discretization methods as perturbed evolution pdes with source terms of a posteriori type. As a result energy or other standard techniques yield optimal a posteriori error estimates not known before.
@article{EP_2007_21_a4,
author = {Charalambos Makridakis},
title = {Space and time reconstructions in a posteriori analysis of evolution problems},
journal = {ESAIM. Proceedings},
pages = {31--44},
year = {2007},
volume = {21},
doi = {10.1051/proc:072104},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072104/}
}
Charalambos Makridakis. Space and time reconstructions in a posteriori analysis of evolution problems. ESAIM. Proceedings, Tome 21 (2007), pp. 31-44. doi: 10.1051/proc:072104
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