On the quality of local flux reconstructions for guaranteed error bounds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00450758" target="_blank" >RIV/67985840:_____/15:00450758 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the quality of local flux reconstructions for guaranteed error bounds
Original language description
In this contribution we consider elliptic problems of a reaction-diffucion type discretized by the finite element method and study the quality of guaranteed upper bounds of the error. In particular, we concentrate on complementary error bounds whose values are determined by suitable flux reconstructions. We present numerical experiments comparing the performance of the local flux reconstruction of Ainsworth and Vejchodský [2] and the reconstruction of Braess and Schröberl [5]. We evaluate the efficiencyof these flux reconstructions by their comparison with the optimal flux reconstruction computed as a global minimization problem.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA14-02067S" target="_blank" >GA14-02067S: Advanced methods for flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Applications of Mathematics 2015
ISBN
978-80-85823-65-3
ISSN
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e-ISSN
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Number of pages
14
Pages from-to
242-255
Publisher name
Institute of Mathematics CAS
Place of publication
Prague
Event location
Prague
Event date
Nov 18, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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