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A linear domain decomposition method for two-phase flow in porous media

, , and . Numerical Mathematics and Advanced Applications ENUMATH 2017, (2019)
DOI: https://doi.org/10.1007/978-3-319-96415-7_55

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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