Publication detail

Adaptive Solution of the Wave Equation

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

Original Title

Adaptive Solution of the Wave Equation

Type

conference paper

Language

English

Original 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).

Keywords

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

Authors

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

RIV year

2015

Released

21. 7. 2015

Publisher

SciTePress - Science and Technology Publications

Location

Colmar

ISBN

978-989-758-120-5

Book

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

Pages from

154

Pages to

162

Pages count

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="
}