Publication 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. p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X.

Czech title

Výpočet P1 gradientů z P0 gradientů váhováním

Type

conference paper

Language

English

Authors

Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Valdman Jan (FIT)
Valenta Václav, Ing., Ph.D.

URL

http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4913135

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, vol. 2015, no. 1648, ISSN 0094-243X

Proceedings

12th International Conference of Numerical Analysis and Applied Mathematics

ISBN

978-0-7354-1287-3

Publisher

American Institute of Physics

Place

Rhodes

DOI

10.1063/1.4913135

UT WoS

000355339705132

EID Scopus

2-s2.0-84939649022

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"
}