Publication result detail

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

SAIBERTOVÁ, J.; LUKÁČOVÁ, M.; ZAHAYKAH, Y.; WARNECKE, G.

Original Title

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

English Title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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.

RIV year

2012

Released

01.09.2004

ISBN

0862-7940

Periodical

Applications of Mathematics

Volume

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"
}