Detail výsledku

Adaptive Solution of the Wave Equation

VALENTA, V.; NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F. 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. p. 154-162. ISBN: 978-989-758-120-5.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Valenta Václav, Ing., Ph.D.
Nečasová Gabriela, Ing., Ph.D., UITS (FIT)
Kunovský Jiří, doc. Ing., CSc., UITS (FIT)
Šátek Václav, Ing., Ph.D., UITS (FIT)
Kocina Filip, Ing., Ph.D., UITS (FIT)
Abstrakt

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).

Klíčová slova

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

URL
Rok
2015
Strany
154–162
Sborník
Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications
Konference
5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications
ISBN
978-989-758-120-5
Vydavatel
SciTePress - Science and Technology Publications
Místo
Colmar
EID Scopus
2-s2.0-84960951551
BibTeX 
@inproceedings{BUT119825,
  author="Václav {Valenta} and Gabriela {Nečasová} and Jiří {Kunovský} and Václav {Šátek} and Filip {Kocina}",
  title="Adaptive Solution of the Wave Equation",
  booktitle="Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications",
  year="2015",
  pages="154--162",
  publisher="SciTePress - Science and Technology Publications",
  address="Colmar",
  isbn="978-989-758-120-5",
  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="
}
Projekty
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, zahájení: 2011-01-01, ukončení: 2015-12-31, ukončen
Spolehlivost a bezpečnost v IT, VUT, Vnitřní projekty VUT, FIT-S-14-2486, zahájení: 2014-01-01, ukončení: 2016-12-31, ukončen
Verifikace a optimalizace počítačových systémů, VUT, Vnitřní projekty VUT, FIT-S-12-1, zahájení: 2012-01-01, ukončení: 2014-12-31, ukončen
Výzkumné skupiny
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru