Detail publikačního výsledku

Adaptive Solution of the Wave Equation

VALENTA, V.; NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.

Originální název

Adaptive Solution of the Wave Equation

Anglický název

Adaptive Solution of the Wave Equation

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální 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).

Anglický 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.

Klíčová slova v angličtině

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

Autoři

VALENTA, V.; NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.

Rok RIV

2016

Vydáno

21.07.2015

Nakladatel

SciTePress - Science and Technology Publications

Místo

Colmar

ISBN

978-989-758-120-5

Kniha

Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications

Strany od

154

Strany do

162

Strany počet

9

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=

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="
}