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Consistency of iterative operator‐splitting methods: Theory and applications
Author(s) -
Geiser Jürgen
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20422
Subject(s) - operator splitting , decoupling (probability) , operator (biology) , mathematics , usability , consistency (knowledge bases) , iterative method , numerical analysis , algorithm , computer science , mathematical analysis , discrete mathematics , biochemistry , chemistry , repressor , human–computer interaction , control engineering , transcription factor , engineering , gene
In this article, we describe a different operator‐splitting method for decoupling complex equations with multidimensional and multiphysical processes for applications for porous media and phase‐transitions. We introduce different operator‐splitting methods with respect to their usability and applicability in computer codes. The error‐analysis for the iterative operator‐splitting methods is discussed. Numerical examples are presented. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010