@article{ahmed:hal-02275690, TITLE = {{Space-time domain decomposition for two-phase flow between different rock types}}, AUTHOR = {Ahmed, Elyes and Japhet, Caroline and Kern, Michel}, URL = {https://inria.hal.science/hal-02275690}, NOTE = {This paper is dedicated to Professor Mary F. Wheeler on the occasion of her 80thbirthday.The authors warmly thank Cl {\'e}ment Canc{\`e}s and Robert Eymard for enlightening discussions that helped usto carry out the proof of Theorem 4.1.}, JOURNAL = {{Computer Methods in Applied Mechanics and Engineering}}, PUBLISHER = {{Elsevier}}, VOLUME = {371}, PAGES = {113294}, YEAR = {2020}, MONTH = Nov, DOI = {10.1016/j.cma.2020.113294}, KEYWORDS = {Discontinuous capillary pressure ; Optimized Schwarz waveform relaxation ; Space--time domain decomposition method ; Nonconforming time grids ; Two-phase Darcy flow ; Finite volume scheme ; Nonlinear and discontinuous Robin transmission conditions ; discontinuous capillary pressure ; finite volume scheme ; space-time domain decomposition method ; optimized Schwarz waveform relaxation ; nonlinear and discontinuous Robin transmission conditions ; nonconforming time grids}, PDF = {https://inria.hal.science/hal-02275690v3/file/nonlindiff.pdf}, HAL_ID = {hal-02275690}, HAL_VERSION = {v3}, }