On evolution Galerkin methods for the Maxwell and the linearized Euler equations.

Autor:	Lukáčová-Medviďová, Mária
Další autoři:	Saibertová, Jitka, 1976- Warnecke, Gerald, 1956- Zahaykah, Yousef
Jazyk:	angličtina
Předmět:	matematika vlnová rovnice Maxwellovy rovnice mathematics wave equation Maxwell equations články journal articles hyperbolic systems evolution Galerkin schemes linearized Euler equation divergence-free vorticity dispersion
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	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.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink