Operator Splitting method Schwarz waveform relaxation method domain decomposition methods convergence analysis multi-physics problems. A Domain Decomposition method based on iterative Operator Splitting method. Juergen Geiser Geiser Juergen Christos Kravvaritis Kravvaritis Christos Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 16 pp.

A Domain Decomposition method based on iterative Operator Splitting method.

Juergen Geiser , Christos Kravvaritis

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 16 pp.

MSC 2000

80A20 Heat and mass transfer, heat flow
80M25 Other numerical methods

Abstract
In this article a new approach is proposed for constructing domain decomposition methods based on iterative operator splitting methods. We study the convergence properties of such a method. The main feature of the method is the decoupling the space and time dimension. We confirm with two numerical applications the effectiveness of the proposed iterative operator splitting method in comparison with classical Schwarz waveform relaxation method as a standard method for domain decomposition. We provide improved results and convergence rates. The efficiency of considering the whole domain in the case of the iterative operator splitting method allows more accurate results.

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