On optimal node and polynomial degree distribution in one-dimensional hp -FEM

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F13%3A00425996" target="_blank" >RIV/61388998:_____/13:00425996 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00607-012-0232-x" target="_blank" >http://dx.doi.org/10.1007/s00607-012-0232-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>

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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JM - Structural engineering
OECD FORD branch
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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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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