Result Details
Construction of P1 Gradient from P0 Gradient by Averaging
KUNOVSKÝ, J.; ŠÁTEK, V.; VALDMAN, J.; VALENTA, V. Construction of P1 Gradient from P0 Gradient by Averaging. In 12th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. no. 1648, p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X.
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Valdman Jan, FIT (FIT)
Valenta Václav, Ing., Ph.D.
Šátek Václav, Ing., Ph.D., DITS (FIT)
Valdman Jan, FIT (FIT)
Valenta Václav, Ing., Ph.D.
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.
Keywords
Poissons Equation, Gradient Averaging, FEM
URL
Published
2015
Pages
1–4
Journal
AIP conference proceedings, 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
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes
DOI
UT WoS
000355339705132
EID Scopus
BibTeX
@inproceedings{BUT111568,
author="Jiří {Kunovský} and Václav {Šátek} and Jan {Valdman} and Václav {Valenta}",
title="Construction of P1 Gradient from P0 Gradient by Averaging",
booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
year="2015",
journal="AIP conference proceedings",
volume="2015",
number="1648",
pages="1--4",
publisher="American Institute of Physics",
address="Rhodes",
doi="10.1063/1.4913135",
isbn="978-0-7354-1287-3",
issn="0094-243X",
url="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913135"
}
Projects
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Verifikace a optimalizace počítačových systémů, BUT, Vnitřní projekty VUT, FIT-S-12-1, start: 2012-01-01, end: 2014-12-31, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Verifikace a optimalizace počítačových systémů, BUT, Vnitřní projekty VUT, FIT-S-12-1, start: 2012-01-01, end: 2014-12-31, completed
Research groups
Departments