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SAIBERTOVÁ, J. LUKÁČOVÁ, M. ZAHAYKAH, Y. WARNECKE, G.
Original Title
On evolution Galerkin Methods for the Maxwell and the Linearized Euler Equations
Type
journal article - other
Language
English
Original 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.
Key words in English
hyperbolic systems, finite volume evolution Galerkin method, Maxwell equations
Authors
SAIBERTOVÁ, J.; LUKÁČOVÁ, M.; ZAHAYKAH, Y.; WARNECKE, G.
Released
1. 9. 2004
ISBN
0862-7940
Periodical
APPLICATIONS OF MATHEMATICS
Year of study
49
Number
5
State
Czech Republic
Pages from
415
Pages to
439
Pages count
24
BibTex
@article{BUT45779, author="Jitka {Zatočilová} and Mária {Lukáčová} and Yousef {Zahaykah} and Gerald {Warnecke}", title="On evolution Galerkin Methods for the Maxwell and the Linearized Euler Equations", journal="APPLICATIONS OF MATHEMATICS", year="2004", volume="49", number="5", pages="415--439", issn="0862-7940" }