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."
%0 Journal Article
%1 seus2019linear
%A Seus, David
%A Radu, Florin A.
%A Rohde, Christian
%D 2019
%E Radu, Florin Adrian
%E Kumar, Kundan
%E Berre, Inga
%E Nordbotten, Jan Martin
%E Pop, Iuliu Sorin
%I Springer International Publishing
%J Numerical Mathematics and Advanced Applications ENUMATH 2017
%K from:sylviazur imported vorlaeufig
%P 603-614
%R https://doi.org/10.1007/978-3-319-96415-7_55
%T A linear domain decomposition method for two-phase flow in porous media
%U https://www.springerprofessional.de/a-linear-domain-decomposition-method-for-two-phase-flow-in-porou/16377432
%X 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."
%@ 978-3-319-96415-7
@article{seus2019linear,
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."},
added-at = {2020-03-27T17:41:35.000+0100},
author = {Seus, David and Radu, Florin A. and Rohde, Christian},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2bbe837a64c9785dcc868c11ffea4cdc1/mathematik},
doi = {https://doi.org/10.1007/978-3-319-96415-7_55},
editor = {Radu, Florin Adrian and Kumar, Kundan and Berre, Inga and Nordbotten, Jan Martin and Pop, Iuliu Sorin},
interhash = {cdc692e144bb3e864490a397787ef761},
intrahash = {bbe837a64c9785dcc868c11ffea4cdc1},
isbn = {978-3-319-96415-7},
journal = {Numerical Mathematics and Advanced Applications ENUMATH 2017},
keywords = {from:sylviazur imported vorlaeufig},
pages = {603-614},
publisher = {Springer International Publishing},
timestamp = {2020-03-27T16:50:51.000+0100},
title = {A linear domain decomposition method for two-phase flow in porous media},
url = {https://www.springerprofessional.de/a-linear-domain-decomposition-method-for-two-phase-flow-in-porou/16377432},
year = 2019
}