EEMCS
Home > Publications
Home University of Twente
Education
Research
Prospective Students
Jobs
Publications
Intranet (internal)
 
 Nederlands
 Contact
 Sitemap
 Search
 Organisation

EEMCS EPrints Service


21520 Time-integration methods for finite element discretisations of the second-order Maxwell equation
 Home Policy Brochure Browse Search User Area Contact Help

Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. (2012) Time-integration methods for finite element discretisations of the second-order Maxwell equation. Memorandum 1975, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

Full text available as:

PDF
 - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
1969 Kb

Official URL: http://www.math.utwente.nl/publications

Exported to Metis

Abstract

This article deals with time integration for the second-order Maxwell equations with possibly non-zero conductivity in the context of the discontinuous Galerkin finite element method DG-FEM) and the $H(\mathrm{curl})$-conforming FEM. For the spatial discretisation, hierarchic $H(\mathrm{curl})$-conforming basis functions are used up to polynomial order $p=3$ over tetrahedral meshes, meaning fourth-order convergence rate. A high-order polynomial basis often warrants the use of high-order time-integration schemes, but many well-known high-order schemes may suffer from a severe time-step stability restriction owing to the conductivity term. We investigate several possible time-integration methods from the point of view of accuracy, stability and computational work. We also carry out a numerical Fourier analysis to study the dispersion and dissipation properties of the semi-discrete DG-FEM scheme as well as the fully-discrete schemes with several of the time-integration methods. The dispersion and dissipation properties of the spatial discretisation and those of the time-integration methods are investigated separately, providing additional insight into the two discretisation steps.

Item Type:Internal Report (Memorandum)
Research Group:EWI-MACS: Mathematics of Computational Science
Research Program:MESA-General
Research Project:BRICKS/MSV1: Scientific computing
Additional Information:Devoted to the memory of Jan Verwer. Second author's surname can also be spelled as "Bochev".
Uncontrolled Keywords:H(curl)-conforming finite element method, Discontinuous Galerkin finite element method, High-order numerical time integration, Second-order damped Maxwell wave equation
ID Code:21520
Deposited On:09 February 2012
More Information:statisticsmetis

Export this item as:

To correct this item please ask your editor

Repository Staff Only: edit this item