A linear domain decomposition method for two-phase flow in porous media
Numerical Analysis
2017-12-14 v1
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.
Cite
@article{arxiv.1712.04869,
title = {A linear domain decomposition method for two-phase flow in porous media},
author = {David Seus and Florin A. Radu and Christian Rohde},
journal= {arXiv preprint arXiv:1712.04869},
year = {2017}
}
Comments
8 pages