Error analysis for a Crouzeix-Raviart approximation of the variable exponent Dirichlet problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493453" target="_blank" >RIV/00216208:11320/24:10493453 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=v30cxtr-tW" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=v30cxtr-tW</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imanum/drae025" target="_blank" >10.1093/imanum/drae025</a>

Result language
angličtina
Original language name
Error analysis for a Crouzeix-Raviart approximation of the variable exponent Dirichlet problem
Original language description
In the present paper, we examine a Crouzeix-Raviart approximation of the $p(cdot )$-Dirichlet problem. We derive a medius error estimate, i.e., a best-approximation result, which holds for uniformly continuous exponents and implies a priori error estimates, which apply for H & ouml;lder continuous exponents and are optimal for Lipschitz continuous exponents. Numerical experiments are carried out to review the theoretical findings.
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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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