A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00505170" target="_blank" >RIV/67985840:_____/19:00505170 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cma.2019.05.014" target="_blank" >http://dx.doi.org/10.1016/j.cma.2019.05.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cma.2019.05.014" target="_blank" >10.1016/j.cma.2019.05.014</a>

Result language
angličtina
Original language name
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems
Original language description
A simple flux reconstruction for finite element solutions of reaction-diffusion problems is shown to yield fully computable upper bounds on the energy norm of error in an approximation of singularly perturbed reaction-diffusion problem. The flux reconstruction is based on simple, independent post-processing operations over patches of elements in conjunction with standard Raviart-Thomas vector fields. We prove that the corresponding local error indicators are locally efficient and robust (up to a nonstandard oscillation term) with respect to any mesh size and any size of the reaction coefficient, including the singularly perturbed limit.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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