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

  • David SeusEmail author
  • Florin A. Radu
  • Christian Rohde
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

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.

Notes

Acknowledgements

This work was partially supported by the NFR supported project CHI #25510 and by the VISTA project #6367.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of StuttgartInstitute of Applied Analysis and Numerical SimulationStuttgartGermany
  2. 2.University of BergenDepartment of MathematicsBergenNorway

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