Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
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- by Yongyong Cai and Jie Shen PDF
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Abstract:
In this paper, we carry out a rigorous error analysis for a finite-element discretization of the linear, weakly coupled energy stable scheme introduced by Shen and Yang for a Cahn-Hilliard phase-field model of two-phase incompressible flows with matching density.References
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Additional Information
- Yongyong Cai
- Affiliation: Beijing Computational Science Research Center, Beijing, 100193
- MR Author ID: 819002
- Email: yongyong.cai@csrc.ac.cn
- Jie Shen
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-1957—and—School of Mathematical Sciences, Xiamen University, Xiamen, 360115, P.R. China
- MR Author ID: 257933
- ORCID: 0000-0002-4885-5732
- Email: shen7@purdue.edu
- Received by editor(s): December 2, 2015
- Received by editor(s) in revised form: September 21, 2016, and March 23, 2017
- Published electronically: November 28, 2017
- Additional Notes: This work was partially supported by NSF grants DMS-1419053, DMS-1620262 and AFOSR grant FA9550-16-1-0102 and by NSFC grants 11371298, 11421110001, 91630204, 51661135011.
- © Copyright 2017 American Mathematical Society
- Journal: Math. Comp. 87 (2018), 2057-2090
- MSC (2010): Primary 35Q30, 65M12, 65M60
- DOI: https://doi.org/10.1090/mcom/3280
- MathSciNet review: 3802427