Publication Details

Adaptive Solution of the Wave Equation

VALENTA Václav, NEČASOVÁ Gabriela, KUNOVSKÝ Jiří, ŠÁTEK Václav and KOCINA Filip. Adaptive Solution of the Wave Equation. In: Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Colmar: SciTePress - Science and Technology Publications, 2015, pp. 154-162. ISBN 978-989-758-120-5. Available from: http://www.scopus.com/record/display.uri?eid=2-s2.0-84960951551&origin=resultslist&sort=plf-f&src=s&st1=satek&st2=&sid=48BB54244E7021166FCB6A0794EA66EC.f594dyPDCy4K3aQHRor6A%3a20&sot=b&sdt=b&sl=18&s=AUTHOR-NAME%28satek%29&relpos=5&citeCnt=0&searchTerm=
Czech title
Adaptivní řešení vlnové rovnice
Type
conference paper
Language
english
Authors
Valenta Václav, Ing. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
URL
Keywords

Wave equation, A posteriori error estimation, Triangulation, Gradient, Modern Taylor Series Method, Finite
difference formula.

Abstract

The paper focuses on the adaptive solution of two-dimensional wave equation using an adaptive triangulation
update based on a posteriori error estimation. The a posteriori error estimation is based on the Gradient superapproximation
method which is based on works of J. Dalik et al that is briefly explained. The Modern Taylor
Series Method (MTSM) used for solving a set of ordinary differential equations is also explained. The MTSM
adapts to the required accuracy by using a variable number of Taylor Series terms. It possible to use the MTSM
to solve wave equation in conjunction with Finite Difference Method (FDM).

Published
2015
Pages
154-162
Proceedings
Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications
Conference
5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications, Calmar, FR
ISBN
978-989-758-120-5
Publisher
SciTePress - Science and Technology Publications
Place
Colmar, FR
EID Scopus
2-s2.0-84960951551
BibTeX 
@INPROCEEDINGS{FITPUB10822,
   author = "V\'{a}clav Valenta and Gabriela Ne\v{c}asov\'{a} and Ji\v{r}\'{i} Kunovsk\'{y} and V\'{a}clav \v{S}\'{a}tek and Filip Kocina",
   title = "Adaptive Solution of the Wave Equation",
   pages = "154--162",
   booktitle = "Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications",
   year = 2015,
   location = "Colmar, FR",
   publisher = "SciTePress - Science and Technology Publications",
   ISBN = "978-989-758-120-5",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10822"
}
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