ON THE STABILITY AND PERFORMANCE OF THE P-VERSION OF THE FINITE-ELEMENT METHOD FOR 1ST-ORDER HYPERBOLIC PROBLEMS

Authors
JANIK TJ JENSEN S
Citation
Tj. Janik et S. Jensen, ON THE STABILITY AND PERFORMANCE OF THE P-VERSION OF THE FINITE-ELEMENT METHOD FOR 1ST-ORDER HYPERBOLIC PROBLEMS, Applied numerical mathematics, 15(4), 1994, pp. 407-437
Citations number
35
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
15
Issue
4
Year of publication
1994
Pages
407 - 437
Database
ISI
SICI code
0168-9274(1994)15:4<407:OTSAPO>2.0.ZU;2-A
Abstract
We study the p-version of the finite element method for the first-orde r scalar hyperbolic equation with constant coefficients. We analyze th e stability and convergence of the method. A comparison with the disco ntinuous h-version and results of numerical experiments are also prese nted.