Preprint 2003-047

On Evolution Galerkin Methods for the Maxwell and the Linearized Euler Equations

Maria Lukacova-Medvidova, Jitka Saibertova, Gerald Warnecke, and Yousef Zahaykah

Abstract: 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.

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Maria Lukacova-Medvidova, <>
Jitka Saibertova, <>
Gerald Warnecke, <>
Yousef Zahaykah, <>
Publishing information:
Accepted in Appl. Math., 2003
Submitted by:
<> July 8 2003.

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