Wave propagation in quadratic-finite-element approximations to hyperbolic equations

Authors
Durran, DR
Citation
Dr. Durran, Wave propagation in quadratic-finite-element approximations to hyperbolic equations, J COMPUT PH, 159(2), 2000, pp. 448-455
Citations number
7
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
159
Issue
2
Year of publication
2000
Pages
448 - 455
Database
ISI
SICI code
0021-9991(20000410)159:2<448:WPIQAT>2.0.ZU;2-I
Abstract
Eigenmodes for the quadratic-finite-element method (QFEM) are expressed as a linear combination of two conventional semi-discrete Fourier modes. Each of these Fourier modes moves at a different phase speed, but both modes hav e the same group velocity. This representation of the QFEM eigenmodes clari fies the significance of the negative phase speeds that naturally arise as part of the conventional analysis. (C) 2000 Academic Press.