Complementarity based a posteriori error estimates and their properties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00379721" target="_blank" >RIV/67985840:_____/12:00379721 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.matcom.2011.06.001" target="_blank" >http://dx.doi.org/10.1016/j.matcom.2011.06.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2011.06.001" target="_blank" >10.1016/j.matcom.2011.06.001</a>

Result language
angličtina
Original language name
Complementarity based a posteriori error estimates and their properties
Original language description
The paper is devoted to complementary approaches in a posteriori error estimation for a diffusion-reaction model problem. These approaches provide sharp and guaranteed upper bounds for the energy norm of the error and they are independent from the way how the approximate solution is obtained. In particular, the estimator naturally includes all sources of errors of any conforming approximation, like the discretization error, the error in the solver of linear algebraic systems, the quadrature error, etc.The paper recapitulates three complementarity approaches, proves sufficient and necessary conditions for the efficiency and asymptotic exactness of the error estimators, constructs an approximation by the method of hypercircle such that its error can becomputed exactly, and presents numerical tests showing robustness of these approaches.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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