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Authors: Václav Valenta 1 ; Gabriela Necasová 1 ; Jirí Kunovský 1 ; Václav Šátek 2 and Filip Kocina 1

Affiliations: 1 Faculty of Information Technology and Brno University of Technology, Czech Republic ; 2 Faculty of Information Technology, Brno University of Technology and VŠB Technical University of Ostrava, Czech Republic

Keyword(s): Wave equation, A posteriori error estimation, Triangulation, Gradient, Modern Taylor Series Method, Finite difference formula.

Related Ontology Subjects/Areas/Topics: Computer Simulation Techniques ; Dynamical Systems Models and Methods ; Formal Methods ; Mathematical Simulation ; Simulation and Modeling ; Simulation Tools and Platforms

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).

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Paper citation in several formats:
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 - SIMULTECH; ISBN 978-989-758-120-5; ISSN 2184-2841, SciTePress, pages 154-162. DOI: 10.5220/0005539401540162

@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 - SIMULTECH},
year={2015},
pages={154-162},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005539401540162},
isbn={978-989-758-120-5},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH
TI - Adaptive Solution of the Wave Equation
SN - 978-989-758-120-5
IS - 2184-2841
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
PB - SciTePress

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