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An unconditionally stable hybrid discontinuous Galerkin scheme for a Cahn–Hilliard phase-field model of two-phase incompressible flow with variable densities
A fully discrete semi-implicit numerical scheme and its optimal error estimates for Cahn-Hilliard-MHD model with variable density
Dongmei Duan, Fuzheng Gao, Xiaoming He and Yanping Lin Communications in Nonlinear Science and Numerical Simulation 152 109401 (2026) https://doi.org/10.1016/j.cnsns.2025.109401
A fully discrete decoupled scheme and applications for non-isothermal two-phase flow model with different viscosities and thermal diffusivities
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Unconditional energy stable and mass-conserving Gauge–Uzawa MSAV methods for the Cahn–Hilliard–Navier–Stokes model
A decoupled, linear, unconditionally stable, and fully discrete finite element scheme for two-phase ferrofluid flows with different densities and viscosities
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities
Error estimates of VBDF2 numerical scheme for Cahn–Hilliard–Navier–Stokes model based on IEQ method
Wenzhuo Chen, Danxia Wang, Hongen Jia and Jun Zhang ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 105(7) (2025) https://doi.org/10.1002/zamm.70142
A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system
Fully-discrete Spectral-Galerkin numerical scheme with second-order time accuracy and unconditional energy stability for the anisotropic Cahn–Hilliard Model
Decoupled finite element scheme of the variable-density and viscosity phase-field model of a two-phase incompressible fluid flow system using the volume-conserved Allen–Cahn dynamics
Ziqiang Wang, Chuanjun Chen, Yanjun Li and Xiaofeng Yang Journal of Computational and Applied Mathematics 420 114773 (2023) https://doi.org/10.1016/j.cam.2022.114773
Linear, second-order, unconditionally energy stable scheme for an electrohydrodynamic model with variable density and conductivity
Mingyang Pan, Chengxing Fu, Wenxing Zhu, Fengyu Jiao and Dongdong He Communications in Nonlinear Science and Numerical Simulation 125 107329 (2023) https://doi.org/10.1016/j.cnsns.2023.107329
The Exponential SAV Approach for the Time-Fractional Allen–Cahn and Cahn–Hilliard Phase-Field Models
Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities
Yali Gao, Xiaoming He, Tao Lin and Yanping Lin ESAIM: Mathematical Modelling and Numerical Analysis 57(3) 1323 (2023) https://doi.org/10.1051/m2an/2023012
Decoupled and Unconditionally Energy Stable Finite Element Schemes for Electrohydrodynamic Model with Variable Density
Decoupled, second-order accurate in time and unconditionally energy stable scheme for a hydrodynamically coupled ternary Cahn-Hilliard phase-field model of triblock copolymer melts
Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes
Makrand A. Khanwale, Kumar Saurabh, Milinda Fernando, Victor M. Calo, Hari Sundar, James A. Rossmanith and Baskar Ganapathysubramanian Computer Physics Communications 280 108501 (2022) https://doi.org/10.1016/j.cpc.2022.108501
Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model
A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-Nematic model for two-phase complex fluids confined in the Hele-Shaw cell
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn–Hilliard system with a Flory–Huggins–deGennes energy potential
Lixiu Dong, Cheng Wang, Steven M. Wise and Zhengru Zhang Journal of Computational and Applied Mathematics 415 114474 (2022) https://doi.org/10.1016/j.cam.2022.114474
Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes
