Detail publikace

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

Jazyk

en

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).

Dokumenty

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",
  annote="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).",
  address="SciTePress - Science and Technology Publications",
  booktitle="Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications",
  chapter="119825",
  edition="NEUVEDEN",
  howpublished="print",
  institution="SciTePress - Science and Technology Publications",
  year="2015",
  month="july",
  pages="154--162",
  publisher="SciTePress - Science and Technology Publications",
  type="conference paper"
}