Medviďová-Lukáčová, MáriaMáriaMedviďová-LukáčováSaibertova, JitkaJitkaSaibertovaWarnecke, GeraldGeraldWarneckeZahaykah, YousefYousefZahaykah2006-02-172006-02-172003-01http://tubdok.tub.tuhh.de/handle/11420/133The 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.enhttp://rightsstatements.org/vocab/InC/1.0/hyperbolic systemswave equationevolution Galerkin schemesMaxwell equationslinearized Euler equationsMathematikWorking Paper2006-03-16urn:nbn:de:gbv:830-opus-192110.15480/882.131Hyperbolisches SystemGalerkin-MethodeWellenfunktionFinite difference methodsWave equation11420/13310.15480/882.131930767964Working Paper