Complementarity - the way towards guaranteed error estimates

Vejchodský, Tomáš. "Complementarity - the way towards guaranteed error estimates." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 205-220. <http://eudml.org/doc/271283>.

@inProceedings{Vejchodský2010,
abstract = {This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamental properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples.},
author = {Vejchodský, Tomáš},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {complementarity; guaranteed upper error bounds; method of hypercircle; a posteriori error estimates; error majorants},
location = {Prague},
pages = {205-220},
publisher = {Institute of Mathematics AS CR},
title = {Complementarity - the way towards guaranteed error estimates},
url = {http://eudml.org/doc/271283},
year = {2010},
}

TY - CLSWK
AU - Vejchodský, Tomáš
TI - Complementarity - the way towards guaranteed error estimates
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 205
EP - 220
AB - This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamental properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples.
KW - complementarity; guaranteed upper error bounds; method of hypercircle; a posteriori error estimates; error majorants
UR - http://eudml.org/doc/271283
ER -