NONCONFORMING STREAMLINE-DIFFUSION-FINITE-ELEMENT-METHODS FOR CONVECTION-DIFFUSION PROBLEMS

Authors
JOHN V MAUBACH JM TOBISKA L
Citation
V. John et al., NONCONFORMING STREAMLINE-DIFFUSION-FINITE-ELEMENT-METHODS FOR CONVECTION-DIFFUSION PROBLEMS, Numerische Mathematik, 78(2), 1997, pp. 165-188
Citations number
23
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
78
Issue
2
Year of publication
1997
Pages
165 - 188
Database
ISI
SICI code
0029-599X(1997)78:2<165:NSFC>2.0.ZU;2-E
Abstract
We analyze nonconforming finite element approximations of streamline-d iffusion type for solving convection-diffusion problems. Both the theo retical and numerical investigations show that additional jump terms h ave to be added in the nonconforming case in order to get the same O(h (k+1/2)) order of convergence in L-2 as in the conforming case for con vection dominated problems. A rigorous error analysis supported by num erical experiments is given.