Adaptive Solution of the Wave Equation

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

2015

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).

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