| Issue |
ESAIM: M2AN
Volume 34, Number 2, March/April 2000
Special issue for R. Teman's 60th birthday
|
|
|---|---|---|
| Page(s) | 439 - 458 | |
| DOI | https://doi.org/10.1051/m2an:2000150 | |
| Published online | 15 April 2002 | |
An Adaptive Multi-level method for Convection Diffusion Problems
1
UMR CNRS 5585, Département Mathématique-Informatique,
École Centrale de Lyon, BP 163, 69131 Écully Cedex, France.
2
UMR CNRS 5640, Département Génie Mathématique, INSA,
Complexe de Rangueil, 31077 Toulouse Cedex 4, France.
Received:
8
October
1999
Revised:
13
December
1999
In this article we introduce an adaptive multi-level method in space and time for convection diffusion problems. The scheme is based on a multi-level spatial splitting and the use of different time-steps. The temporal discretization relies on the characteristics method. We derive an a posteriori error estimate and design a corresponding adaptive algorithm. The efficiency of the multi-level method is illustrated by numerical experiments, in particular for a convection-dominated problem.
Mathematics Subject Classification: 65M15 / 65M25 / 65M70 / 76R99
Key words: Multi-level methods / convection-diffusion equations / characteristics method / a posteriori error estimates / adaptive algorithms.
© EDP Sciences, SMAI, 2000
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