Article
MSC:
35A35,
35Q35,
35Q60,
65M60,
76B99,
76M10,
78M10 | MR 2086087 | Zbl 1099.65088 | DOI: 10.1023/B:APOM.0000048121.68355.2a
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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; linearized Euler equations; divergence-free; vorticity; dispersion
Summary:
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.
References:
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