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9168 Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisation of the Maxwell eqations
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Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. (2007) Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisation of the Maxwell eqations. Memorandum 1821, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

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Abstract

Different time-stepping methods for a nodal high-order discontinuous Galerkin discretisation of the Maxwell equations are discussed. A comparison between the most popular choices of Runge-Kutta (RK) methods is made from the point of view of accuracy and computational work. By choosing the strong-stability-preserving Runge-Kutta (SSP-RK) time-integration method of order consistent with the polynomial order of the spatial discretisation, better accuracy can be attained compared to fixed-order schemes. This comes without a significant increase in the computation work. A numerical Fourier analysis is performed for this Runge-Kutta discontinuous Galerkin (RKDG) discretisation to gain insight into the dispersion and dissipation properties of the complete scheme. The analysis also provides practical information on the convergence of the dissipation and dispersion error, which is important when studying wave propagation phenomena.

Item Type:Internal Report (Memorandum)
Research Group:EWI-MACS: Mathematics of Computational Science
Research Program:IMPACT-Mechanics of Fluids and Solids, IMPACT-General
Research Project:BRICKS/MSV1.5: Hp-Adaptive Finite Element Methods for the Maxwell Equations
Additional Information:Please note possible different spellings of the second author's name: "Botchev" or "Bochev".
ID Code:9168
Deposited On:05 March 2007
More Information:statisticsmetis

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