Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn-Hilliard-Navier-Stokes model

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Incompressible viscous fluids (76Dxx)

Cites Work

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A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
An efficient semi-implicit immersed boundary method for the Navier-Stokes equations
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
The scalar auxiliary variable (SAV) approach for gradient flows
Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows
An overview of projection methods for incompressible flows
Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows
Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations
Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case
Analysis of finite element approximations of a phase field model for two-phase fluids
Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
Long time stability and convergence for fully discrete nonlinear galerkin methods
On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
On Fully Decoupled, Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities
Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
Galerkin Finite Element Methods for Parabolic Problems
Stability and error analysis for a spectral Galerkin method for the Navier‐Stokes equations with H² or H¹ initial data
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System
Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model

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