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Local adaptive methods for convection dominated problems
Author(s) -
Klöfkorn Robert,
Kröner Dietmar,
Ohlberger Mario
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.268
Subject(s) - a priori and a posteriori , computation , convection , mathematics , convection–diffusion equation , mathematical optimization , diffusion , computer science , mechanics , algorithm , physics , mathematical analysis , thermodynamics , philosophy , epistemology
In this paper, we consider rigorous a posteriori error estimates for convection dominated initial value problems including recent results for those with degenerating diffusion. These estimates are important to control the adaptive local mesh refinement for numerical computations, in particular for the simulation of the biodegradation process. Several results obtained by numerical experiments will be shown. Copyright © 2002 John Wiley & Sons, Ltd.