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hierarchical finite elements

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Stabilization of Galerkin approximations of transport equations by subgrid modeling
Jean-Luc Guermond
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 6 / November 1999

Published online by Cambridge University Press:

15 August 2002, pp. 1293-1316

Print publication:

November 1999
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This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space.The technique is proved to have stability and convergenceproperties that are similar to that of the streamline diffusion method.