Localization of the W--1,W-q norm for local a posteriori efficiency
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10423847" target="_blank" >RIV/00216208:11320/20:10423847 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=anNG5Nwabv" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=anNG5Nwabv</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imanum/drz002" target="_blank" >10.1093/imanum/drz002</a>
Alternative languages
Result language
angličtina
Original language name
Localization of the W--1,W-q norm for local a posteriori efficiency
Original language description
This paper gives a direct proof of localization of dual norms of bounded linear functionals on the Sobolev space W-0(1,p) (Omega), 1 <= p <= infinity. The basic condition is that the functional in question vanishes over locally supported test functions from W-0(1,p) (Omega) which form a partition of unity in O, apart from close to the boundary partial derivative Omega. We also study how to weaken this condition. The results allow in particular to establish local efficiency and robustness with respect to the exponent p of a posteriori estimates for nonlinear partial differential equations in divergence form, including the case of inexact solvers. Numerical illustrations support the theory.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</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
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IMA Journal of Numerical Analysis
ISSN
0272-4979
e-ISSN
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Volume of the periodical
40
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
37
Pages from-to
914-950
UT code for WoS article
000537398500004
EID of the result in the Scopus database
2-s2.0-85089363905