Adaptive Solution of the Wave Equation

Václav Valenta, Gabriela Necasová, Jirí Kunovský, Václav Šátek, Filip Kocina

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 super-approximation method which is based on works of J. Dalík 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).

References

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Paper Citation


in Harvard Style

Valenta V., Necasová G., Kunovský J., Šátek V. and Kocina F. (2015). Adaptive Solution of the Wave Equation . In Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, ISBN 978-989-758-120-5, pages 154-162. DOI: 10.5220/0005539401540162


in Bibtex Style

@conference{simultech15,
author={Václav Valenta and Gabriela Necasová and Jirí 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 - Volume 1: SIMULTECH,},
year={2015},
pages={154-162},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005539401540162},
isbn={978-989-758-120-5},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - Adaptive Solution of the Wave Equation
SN - 978-989-758-120-5
AU - Valenta V.
AU - Necasová G.
AU - Kunovský J.
AU - Šátek V.
AU - Kocina F.
PY - 2015
SP - 154
EP - 162
DO - 10.5220/0005539401540162