Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system

DOI10.1016/j.cam.2024.115981MaRDI QIDQ6581952

Wenbin Chen, Cheng Wang, Jianyu Jing, Qian-qian Liu, Xiaoming Wang

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimal rate convergence analysisCahn-Hilliard-Navier-Stokes systemhigher order asymptotic expansionCrank-Nicolson approximationFlory-Huggins energy potentialrough and refined error estimates

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical analysis (65-XX)

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