A second-order backward differentiation formula for the numerical solution of Cahn-Hilliard-Hele-Shaw system

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

Unnamed Item
Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems
A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
Three-dimensional lattice Boltzmann simulations of high density ratio two-phase flows in porous media
The Cahn-Hilliard-Hele-Shaw system with singular potential
A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres
Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method
Analysis of a novel finite element method for a modified Cahn-Hilliard-Hele-Shaw system
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem
A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system
A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains
A divergence-free generalized moving least squares approximation with its application
Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system
An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system
Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model
Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential
A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system
Well-posedness of the Hele-Shaw-Cahn-Hilliard system
A second order linear energy stable numerical method for the Cahn-Hilliard-Hele-Shaw system
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
Analysis of a mixture model of tumor growth
Numerical simulation of a thermodynamically consistent four-species tumor growth model
Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
Two-phase flows in karstic geometry
Modeling pinchoff and reconnection in a Hele-Shaw cell. I. The models and their calibration
The effect of surface tension on the shape of a Hele–Shaw cell bubble
A Multiple Scale Model for Tumor Growth
A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential
Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems
The Mathematical Theory of Finite Element Methods

This page was built for publication: A second-order backward differentiation formula for the numerical solution of Cahn-Hilliard-Hele-Shaw system