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multi-level methods

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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An Adaptive Multi-level method for Convection DiffusionProblems
Martine Marion, Adeline Mollard
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 2 / March 2000

Published online by Cambridge University Press:

15 April 2002, pp. 439-458

Print publication:

March 2000
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In this article we introduce an adaptive multi-levelmethod in space and time for convection diffusion problems. The scheme is based on a multi-level spatial splitting and the use of differenttime-steps. The temporal discretization relies on the characteristics method. We derive an a posteriori error estimate and design a correspondingadaptive algorithm. The efficiency of the multi-level method is illustrated by numerical experiments,in particular for a convection-dominated problem.