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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
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
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
The Exponential SAV Approach for the Time-Fractional Allen–Cahn and Cahn–Hilliard Phase-Field Models
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
Decoupled and Unconditionally Energy Stable Finite Element Schemes for Electrohydrodynamic Model with Variable Density
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
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes
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
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
Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model
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