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On evolution Galerkin Methods for the Maxwell and the linearezed Euler equations
Citation Link: https://doi.org/10.15480/882.131
Publikationstyp
Working Paper
Date Issued
2003-01
Sprache
English
Institut
TORE-DOI
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.
Subjects
hyperbolic systems
wave equation
evolution Galerkin schemes
Maxwell equations
linearized Euler equations
DDC Class
510: Mathematik
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