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

Lukáčová-Medviďová, Mária, et al. "On evolution Galerkin methods for the Maxwell and the linearized Euler equations." Applications of Mathematics 49.5 (2004): 415-439. <http://eudml.org/doc/33193>.

@article{Lukáčová2004,
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.},
author = {Lukáčová-Medviďová, Mária, Saibertová, Jitka, Warnecke, Gerald G., Zahaykah, Yousef},
journal = {Applications of Mathematics},
keywords = {hyperbolic systems; wave equation; evolution Galerkin schemes; Maxwell equations; linearized Euler equations; divergence-free; vorticity; dispersion; hyperbolic systems; wave equation; evolution Galerkin schemes; Maxwell equations; divergence-free; vorticity; dispersion},
language = {eng},
number = {5},
pages = {415-439},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On evolution Galerkin methods for the Maxwell and the linearized Euler equations},
url = {http://eudml.org/doc/33193},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Lukáčová-Medviďová, Mária
AU - Saibertová, Jitka
AU - Warnecke, Gerald G.
AU - Zahaykah, Yousef
TI - On evolution Galerkin methods for the Maxwell and the linearized Euler equations
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 5
SP - 415
EP - 439
AB - 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.
LA - eng
KW - hyperbolic systems; wave equation; evolution Galerkin schemes; Maxwell equations; linearized Euler equations; divergence-free; vorticity; dispersion; hyperbolic systems; wave equation; evolution Galerkin schemes; Maxwell equations; divergence-free; vorticity; dispersion
UR - http://eudml.org/doc/33193
ER -