numerical analysis operator-splitting method initial value problems iterative solver method consistency analysis convection-diffusion-reaction equation Consistency of Iterative Operator-Splitting Methods: Theory and Applications. Juergen Geiser Geiser Juergen Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 24 pp.

Consistency of Iterative Operator-Splitting Methods: Theory and Applications.

Juergen Geiser

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 24 pp.

MSC 2000

35J60 Nonlinear PDE of elliptic type
35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE

Abstract
In this paper we describe a different operator-splitting method for decoupling complex equations with multi-dimensional and multi-physical 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.

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