Publication Details

Adaptive Solution of Laplace Equation

VALENTA, V.; ŠÁTEK, V.; KUNOVSKÝ, J.; HUMENÁ, P. Adaptive Solution of Laplace Equation. In Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2013. p. 2285-2288. ISBN: 978-0-7354-1184-5. ISSN: 0094-243X.
Czech title
Adaptivní řešení Laplaceovy rovnice
Type
conference paper
Language
English
Authors
Valenta Václav, Ing., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
Kunovský Jiří, doc. Ing., CSc.
Humená Patrícia, Ing.
Keywords

Laplace equation, gradient, partial derivatives, weighted averaging

Abstract

The method of aposteriori error estimation based on weighted averaging to improve initial triangulation to get better solution of the planar elliptic boundary-value problem of second order is presented. Numerical illustrations of the method are presented too.

Published
2013
Pages
2285–2288
Journal
AIP conference proceedings, no. 1, ISSN 0094-243X
Proceedings
Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1184-5
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/1.4825996
UT WoS
000331472800532
EID Scopus
2-s2.0-84887506785
BibTeX 
@inproceedings{BUT105967,
  author="Václav {Valenta} and Václav {Šátek} and Jiří {Kunovský} and Patrícia {Humená}",
  title="Adaptive Solution of Laplace Equation",
  booktitle="Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics",
  year="2013",
  journal="AIP conference proceedings",
  number="1",
  pages="2285--2288",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4825996",
  isbn="978-0-7354-1184-5",
  issn="0094-243X",
  url="https://www.fit.vut.cz/research/publication/10318/"
}
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