Detail publikace

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

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

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",
  annote="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.",
  chapter="45779",
  number="5",
  volume="49",
  year="2004",
  month="september",
  pages="415--439",
  type="journal article - other"
}