Dr David Griffiths

Finite Element Approximation of Hyperbolic Equations

by David Griffiths and George Mathai.
University of Dundee, March 1995.

Summary

Finite elements of degree d are analysed for the semi-discrete periodic initial value problem for pure advection in 1D. We derive the dispersion relation for arbitrary degree and highlight the distinction between even and odd degree bases. The phase and group velocities are also analysed.

Chapters 1 & 2: Introduction & Discrete Fourier Transforms (pages 1-26).
Chapters 3: High Order Finite Elements for Advection (pages 27-51)
Chapters 4: Fourier Analysis (pages 53-74)
Chapters 5: Discussion (pages 75-80)

dfg@maths.dundee.ac.uk

Last Modified: Tuesday, 22-Feb-2011 19:14:43 GMT