Conference paper

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
Publication language:english
Original title:Construction of P1 Gradient from P0 Gradient by Averaging
Title (cs):Výpočet P1 gradientů z P0 gradientů váhováním
Pages:1-4
Proceedings:12th International Conference of Numerical Analysis and Applied Mathematics
Conference:12th International Conference of Numerical Analysis and Applied Mathematics
Place:Rhodes, GR
Year:2015
URL:http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913135
ISBN:978-0-7354-1287-3
Journal:AIP Conference Proceedings - American Institute of Physics, Vol. 2015, No. 1648, US
ISSN:0094-243X
Publisher:American Institute of Physics
Keywords
Poissons Equation, Gradient Averaging, FEM
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   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},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10603}
}

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