Fast and guaranteed a posteriori error estimator

Vejchodský, Tomáš

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 257-272

Abstract

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The equilibrated residual method and the method of hypercircle are popular methods for a posteriori error estimation for linear elliptic problems. Both these methods are intended to produce guaranteed upper bounds of the energy norm of the error, but the equilibrated residual method is guaranteed only theoretically. The disadvantage of the hypercircle method is its globality, hence slowness. The combination of these two methods leads to local, hence fast, and guaranteed a posteriori error estimator.

How to cite

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Vejchodský, Tomáš. "Fast and guaranteed a posteriori error estimator." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 257-272. <http://eudml.org/doc/271291>.

@inProceedings{Vejchodský2004,
abstract = {The equilibrated residual method and the method of hypercircle are popular methods for a posteriori error estimation for linear elliptic problems. Both these methods are intended to produce guaranteed upper bounds of the energy norm of the error, but the equilibrated residual method is guaranteed only theoretically. The disadvantage of the hypercircle method is its globality, hence slowness. The combination of these two methods leads to local, hence fast, and guaranteed a posteriori error estimator.},
author = {Vejchodský, Tomáš},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {257-272},
publisher = {Institute of Mathematics AS CR},
title = {Fast and guaranteed a posteriori error estimator},
url = {http://eudml.org/doc/271291},
year = {2004},
}

TY - CLSWK
AU - Vejchodský, Tomáš
TI - Fast and guaranteed a posteriori error estimator
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 257
EP - 272
AB - The equilibrated residual method and the method of hypercircle are popular methods for a posteriori error estimation for linear elliptic problems. Both these methods are intended to produce guaranteed upper bounds of the energy norm of the error, but the equilibrated residual method is guaranteed only theoretically. The disadvantage of the hypercircle method is its globality, hence slowness. The combination of these two methods leads to local, hence fast, and guaranteed a posteriori error estimator.
UR - http://eudml.org/doc/271291
ER -

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