Complementary error bounds for elliptic systems and applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00391349" target="_blank" >RIV/67985840:_____/13:00391349 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2011.05.108" target="_blank" >http://dx.doi.org/10.1016/j.amc.2011.05.108</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2011.05.108" target="_blank" >10.1016/j.amc.2011.05.108</a>

Result language
angličtina
Original language name
Complementary error bounds for elliptic systems and applications
Original language description
This contribution derives guaranteed upper bounds of the energy norm of the approximation error for linear elliptic partial differential systems. We generalize the complementarity error estimates known for scalar elliptic problems to general diffusion?convection?reaction linear elliptic systems. For systems we prove analogous properties of these error bounds as for the scalar case. A brief description how the presented general theory applies to linear elasticity is included as well as an application tochemical systems with reactions of at most first order. Numerical experiments showing the sharpness of the obtained upper bounds and their behavior in the adaptive procedure are presented, too.
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
<a href="/en/project/IAA100760702" target="_blank" >IAA100760702: Methods of higher order of accuracy for solution of multi-physics coupled problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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