Error estimates for time discretizations of Cahn–Hilliard and Allen–Cahn phase-field models for two-phase incompressible flows

We carry out rigorous error analysis for some energy stable time discretization schemes developed in Shen and Yang (SIAM J Sci Comput 32(3):1159–1179, 2010 ) for a Cahn–Hilliard phase-field model and in Shen and Yang (Chin Ann Math Ser B 31(5):743–758, 2010 ) for an Allen–Cahn phase-field model....

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Veröffentlicht in:	Numerische Mathematik 2017-10, Vol.137 (2), p.417-449
Hauptverfasser:	Cai, Yongyong, Choi, Heejun, Shen, Jie
Format:	Artikel
Sprache:	eng
Schlagworte:	Chin Computational fluid dynamics Discretization Error analysis Fluid flow Incompressible flow Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Simulation Theoretical
Online-Zugang:	Volltext
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