DOI10.1093/imanum/drv065zbMath1433.80005arXiv1411.5248OpenAlexW2962738836MaRDI QIDQ4683742
Cheng Wang, Amanda E. Diegel, Steven M. Wise
Publication date: 26 September 2018
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.5248
Numerical modeling of phase separation on dynamic surfaces ⋮
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations ⋮
Arbitrarily high-order linear energy stable schemes for gradient flow models ⋮
A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation ⋮
On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation ⋮
A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions ⋮
A decoupled finite element method for a modified Cahn-Hilliard-Hele-Shaw system ⋮
A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters ⋮
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance ⋮
On efficient second order stabilized semi-implicit schemes for the Cahn-Hilliard phase-field equation ⋮
A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system ⋮
A robust solver for a mixed finite element method for the Cahn-Hilliard equation ⋮
Motion by mean curvature with constraints using a modified Allen-Cahn equation ⋮
On novel linear schemes for the Cahn-Hilliard equation based on an improved invariant energy quadratization approach ⋮
A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model ⋮
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential ⋮
Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations ⋮
Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes ⋮
A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method ⋮
Nonlocal operator method for the Cahn-Hilliard phase field model ⋮
A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems ⋮
Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate ⋮
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows ⋮
Global existence of weak solutions to viscoelastic phase separation part: I. Regular case ⋮
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow ⋮
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends ⋮
A second order linear energy stable numerical method for the Cahn-Hilliard-Hele-Shaw system ⋮
Efficient fully decoupled and second-order time-accurate scheme for the Navier-Stokes coupled Cahn-Hilliard Ohta-Kawaski phase-field model of diblock copolymer melt ⋮
A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line ⋮
Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation ⋮
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system ⋮
A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation ⋮
Totally decoupled implicit-explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model ⋮
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method ⋮
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System ⋮
Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures ⋮
Stability and discretization error analysis for the Cahn–Hilliard system via relative energy estimates ⋮
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations ⋮
A simple shape transformation method based on phase-field model ⋮
A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis ⋮
Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model ⋮
High order accurate and convergent numerical scheme for the strongly anisotropic Cahn–Hilliard model ⋮
Superconvergence analysis of an energy stable scheme with three step backward differential formula‐finite element method for nonlinear reaction–diffusion equation ⋮
A fast, efficient, and explicit phase-field model for 3D mesh denoising ⋮
Numerical analysis of a second-order energy-stable finite element method for the Swift-Hohenberg equation ⋮
A non-uniform time-stepping convex splitting scheme for the time-fractional Cahn-Hilliard equation ⋮
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation ⋮
Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation ⋮
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential ⋮
Local volume-conservation-improved diffuse interface model for simulation of Rayleigh-Plateau fluid instability ⋮
Linear and conservative IMEX Runge-Kutta finite difference schemes with provable energy stability for the Cahn-Hilliard model in arbitrary domains ⋮
Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions ⋮
An adaptive discontinuous finite volume element method for the Allen-Cahn equation ⋮
Recovery type a posteriori error estimation of an adaptive finite element method for Cahn-Hilliard equation ⋮
A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions ⋮
Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation ⋮
A practical and efficient numerical method for the Cahn-Hilliard equation in complex domains ⋮
An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations ⋮
Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations ⋮
Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model ⋮
A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis ⋮
An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density ⋮
An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation ⋮
A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation ⋮
Global well-posedness of strong solution for the three dimensional dynamic Cahn-Hilliard-Stokes model ⋮
Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation ⋮
Unnamed Item ⋮
An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system ⋮
Superconvergence analysis of an energy stable scheme for nonlinear reaction-diffusion equation with BDF mixed FEM ⋮
Analysis of a novel finite element method for a modified Cahn-Hilliard-Hele-Shaw system ⋮
Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation ⋮
Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation ⋮
First and second order unconditionally energy stable schemes for topology optimization based on phase field method ⋮
A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation ⋮
High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics ⋮
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation ⋮
Decoupled, EnergyStableNumericalSchemeforthe Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential ⋮
A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations ⋮
A weak Galerkin finite element scheme for the Cahn-Hilliard equation ⋮
Superconvergence analysis of a MFEM for BBM equation with a stable scheme ⋮
Asymptotic behaviour of time stepping methods for phase field models ⋮
A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis ⋮
An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels ⋮
A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation ⋮
Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity ⋮
Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach ⋮
A second order energy stable BDF numerical scheme for the Swift-Hohenberg equation ⋮
Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential ⋮
New estimates of mixed finite element method for fourth‐order wave equation ⋮
The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes ⋮
A second order numerical scheme for the annealing of metal-intermetallic laminate composite: a ternary reaction system ⋮
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation ⋮
Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows ⋮
Energy stable numerical schemes for ternary Cahn-Hilliard system ⋮
The Cahn-Hilliard equation and some of its variants ⋮
Towards infinite tilings with symmetric boundaries ⋮
A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation
This page was built for publication: Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation