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An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system
Authors:
Blaise Faugeras, Jérôme Pousin and Franck Fontvieille
Journal:
Math. Comp. 75 (2006), 209-222
MSC (2000):
Primary 65M12, 65G99, 35K57
Posted:
September 29, 2005
MathSciNet review:
2176396
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Additional Information
Abstract: A numerical scheme based on an operator splitting method and a dense output event location algorithm is proposed to integrate a diffusion-dissolution/precipitation chemical initial-boundary value problem with jumping nonlinearities. The numerical analysis of the scheme is carried out and it is proved to be of order 2 in time. This global order estimate is illustrated numerically on a test case.
References
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S. Descombes, Convergence of a splitting method of high order for reaction-diffusion systems, Math. Comp. 70 (2001), no. 236, 1484-1501.MR 1836914 (2002c:65152)
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Additional Information
Blaise Faugeras
Affiliation:
CNRS I35, Les Algorithmes, 2000 Route des Lucioles, BP 121, 06903 Sophia Antipolis cedex France
Email:
Blaise.Faugeras@unice.fr
Jérôme Pousin
Affiliation:
MAPLY, Centre de Mathématique INSA de Lyon, Bat. Léonard de Vinci, 21, Av. Jean Capelle, 69100 Villeurbanne Cedex, France
Email:
Jerome.Pousin@insa-lyon.fr
Franck Fontvieille
Affiliation:
MAPLY, Centre de Mathématique INSA de Lyon, Bat. Léonard de Vinci, 21, Av. Jean Capelle, 69100 Villeurbanne Cedex, France
Email:
Franck.Fontvieille@insa-lyon.fr
DOI:
http://dx.doi.org/10.1090/S0025-5718-05-01782-5
PII:
S 0025-5718(05)01782-5
Keywords:
Numerical time integration,
operator splitting,
dense output,
high order,
error analysis,
reaction-diffusion,
jumping nonlinearities
Received by editor(s):
December 2, 2003
Received by editor(s) in revised form:
September 20, 2004
Posted:
September 29, 2005
Article copyright:
© Copyright 2005 American Mathematical Society
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