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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
Published electronically: September 29, 2005
MathSciNet review: 2176396
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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.


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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
Published electronically: September 29, 2005
Article copyright: © Copyright 2005 American Mathematical Society