Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows (2018, background): “Although some convergence and error analysis are available for fully implicit (such as backward Euler) [7, 10, 23, 11, 5] or nonlinearly implicit (such as convex splitting) [9, 2] schemes without restrictive assumptions on the free energy, most of the convergence and error analysis for linearly impl”
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows (2017, unknown): “• If we take û = ũ, one can show, similarly as in [63], that the scheme is unconditionally stable, linear and second-order, but weakly coupled between (φ, w, ũ) by the term ũ · ∇φ̄.”
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows (2015, methodology): “In [32], we constructed the following numerical scheme for the system (2.”
The Cahn-Hilliard Equation with Logarithmic Potentials (2011, unknown): “[126], [134], [135], [136], [138], [139], [141], [142], [143], [144], [145], [146], [147], [152], [158], [191], [200], [201], [203], [208], [209], [211] and [217] for the numerical analysis and simulations of the Cahn-Hilliard equation (and several of its generalizations).”