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Consistency of iterative operator-splitting methods: Theory and applications

✍ Scribed by Jürgen Geiser


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
295 KB
Volume
26
Category
Article
ISSN
0749-159X

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✦ Synopsis


Abstract

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


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H 0 and one can use the Neumann series ∞ ν=0 (I -L L) ν L f in order to study solvability of the operator equation Lu = f . In particular, applying this method to the ill -posed Cauchy problem for solutions to an elliptic system P u = 0 of linear PDE's of order p with smooth coefficients we obtain