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https://doi.org/10.15480/882.131

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. |
URI: | http://tubdok.tub.tuhh.de/handle/11420/133 | DOI: | 10.15480/882.131 | Institute: | Mathematik E-10 | Document Type: | Working Paper | License: | ![]() |
Part of Series: | Preprints des Institutes für Mathematik | Volume number: | 55 |
Appears in Collections: | Publications with fulltext |
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