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2019 | OriginalPaper | Buchkapitel

A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media

verfasst von : David Seus, Florin A. Radu, Christian Rohde

Erschienen in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Verlag: Springer International Publishing

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Abstract

This article is a follow up of our submitted paper (D. Seus et al, Comput Methods Appl Mech Eng 333:331–355, 2018) in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to solve the problem in each time step in a fixed point type iteration. This article extends these ideas to the case of two-phase in porous media and the convergence of the proposed domain decomposition method is rigorously shown.

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Fußnoten
1
Similar assumptions are used in the literature, cf. [10]. More recently, the case of Hölder continuity has been treated, see [12].
 
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Metadaten
Titel
A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media
verfasst von
David Seus
Florin A. Radu
Christian Rohde
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-96415-7_55