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Construction of P1 Gradient from P0 Gradient by Averaging

KUNOVSKÝ Jiří, ŠÁTEK Václav, VALDMAN Jan and VALENTA Václav. Construction of P1 Gradient from P0 Gradient by Averaging. In: 12th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1287-3. ISSN 0094-243X. Available from: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913135
Czech title
Výpočet P1 gradientů z P0 gradientů váhováním
Type
conference paper
Language
english
Authors
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Valdman Jan (USB)
Valenta Václav, Ing. (DITS FIT BUT)
URL
Keywords
Poissons Equation, Gradient Averaging, FEM
Abstract
Construction of nodal and element-wise linear (known as P1) gradient field from element-wise constant (known as P0) gradient field obtained by the P1 finite element methods on defined triangular mesh is based on works of J. Dalík et al. and it is briefly explained and numerically tested in this contribution. Nodal value of P1 gradient is computed by averaging of P0 gradients on elements sharing the node in a common patch.
Published
2015
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, vol. 2015, no. 1648, ISSN 0094-243X
Proceedings
12th International Conference of Numerical Analysis and Applied Mathematics
Conference
12th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
BibTeX
@INPROCEEDINGS{FITPUB10603,
   author = "Ji\v{r}\'{i} Kunovsk\'{y} and V\'{a}clav \v{S}\'{a}tek and Jan Valdman and V\'{a}clav Valenta",
   title = "Construction of P1 Gradient from P0 Gradient by Averaging",
   pages = "1--4",
   booktitle = "12th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2015,
   number = 1648,
   year = 2015,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-1287-3",
   ISSN = "0094-243X",
   doi = "10.1063/1.4913135",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10603"
}
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