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Title: On evolution Galerkin Methods for the Maxwell and the linearezed Euler equations
Language: English
Authors: Medviďová-Lukáčová, Mária 
Saibertova, Jitka 
Warnecke, Gerald 
Zahaykah, Yousef 
Keywords: hyperbolic systems; wave equation; evolution Galerkin schemes; Maxwell equations; linearized Euler equations
Issue Date: Jan-2003
Abstract (english): 
The subject of the paper is the derivation and analysis of evolution Galerkin schemes for the two dimensional Maxwell and linearized Euler equations. The aim is to construct a method which takes into account better the infinitely many directions of propagation of waves. To do this the initial function is evolved using the characteristic cone and then projected onto a finite element space. We derive the divergence-free property and estimate the dispersion relation as well. We present some numerical experiments for both the Maxwell and the linearized Euler equations.
DOI: 10.15480/882.131
Institute: Mathematik E-10 
Document Type: Working Paper
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 55
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