Preprint 2003-047

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

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.

Paper:

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Author(s):

Maria Lukacova-Medvidova, <ukacova@tu-harburg.de>

Jitka Saibertova, <saibertova@mat.fme.vutbr.cz>

Gerald Warnecke, <gerald.warnecke@mathematik.uni-magdeburg.de>

Yousef Zahaykah, <yousef.zahaykah@mathematik.uni-magdeburg.de>

Publishing information:

Accepted in Appl. Math., 2003

Comments:

Submitted by:

<yousef.zahaykah@mathematik.uni-magdeburg.de> July 8 2003.