A linear domain decomposition method for two-phase flow in porous media
Abstract
This article is a follow up of our submitted paper [11] 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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.04869
- arXiv:
- arXiv:1712.04869
- Bibcode:
- 2017arXiv171204869S
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- 8 pages