Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows

Cai, Yongyong; Shen, Jie

doi:10.1090/mcom/3280

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

Math. Comp. 87 (2018), 2057-2090 Request permission

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.

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