scientific article; zbMATH DE number 7600707

MaRDI QIDQ5039496

Cheng Wang, Steven M. Wise, Xiao-chun Chen

Publication date: 13 October 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/21036.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Cahn-Hilliard equationenergy stabilityconvex splitting numerical schemeiteration convergence analysispreconditioned steepest descent iteration solvervariable mobility function

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for higher-order parabolic equations (35K30)

Related Items (1)

Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model

Cites Work

• An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
• Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
• Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
• A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
• A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
• A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
• On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
• Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
• Energy stable numerical schemes for ternary Cahn-Hilliard system
• Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
• Unconditionally stable schemes for equations of thin film epitaxy
• On efficient second order stabilized semi-implicit schemes for the Cahn-Hilliard phase-field equation
• Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
• Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms
• The scalar auxiliary variable (SAV) approach for gradient flows
• On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations
• A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
• A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis
• A linear energy stable scheme for a thin film model without slope selection
• An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis
• An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation
• An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
• Preconditioned descent algorithms for \(p\)-Laplacian
• A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
• Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
• Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
• Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
• Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
• Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
• Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
• An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
• Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
• An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
• Upper bound on the coarsening rate for an epitaxial growth model
• A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
• Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
• Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
• Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

This page was built for publication: