On optimal node and polynomial degree distribution in one-dimensional hp-FEM
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00204186" target="_blank" >RIV/68407700:21110/13:00204186 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/content/pdf/10.1007%2Fs00607-012-0232-x" target="_blank" >http://link.springer.com/content/pdf/10.1007%2Fs00607-012-0232-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00607-012-0232-x" target="_blank" >10.1007/s00607-012-0232-x</a>
Alternative languages
Result language
angličtina
Original language name
On optimal node and polynomial degree distribution in one-dimensional hp-FEM
Original language description
We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods andsoftware that we use are described, and numerical results are presented.We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this workis to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of e
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GAP105%2F10%2F1682" target="_blank" >GAP105/10/1682: Solution of Large Hydro-Thermo-Mechanical Problems Using Adaptive hp-FEM</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computing
ISSN
0010-485X
e-ISSN
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Volume of the periodical
95
Issue of the periodical within the volume
1 Suppl.
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
"S75"-"S88"
UT code for WoS article
000338630100007
EID of the result in the Scopus database
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