Conference paper

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=
Publication language:english
Original title:Adaptive Solution of the Wave Equation
Title (cs):Adaptivní řešení vlnové rovnice
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
Place:Colmar, FR
Year:2015
URL: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=
ISBN:978-989-758-120-5
Publisher:SciTePress - Science and Technology Publications
Keywords
Wave equation, A posteriori error estimation, Triangulation, Gradient, Modern Taylor Series Method, Finite
difference formula.
Annotation
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).
BibTeX:
@INPROCEEDINGS{
   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 = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso-8859-2?id=10822}
}

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