Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model

Cites Work

Unnamed Item
Unnamed Item
On the maximum principle preserving schemes for the generalized Allen-Cahn equation
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
Variational theory and domain decomposition for nonlocal problems
Phase field computations for ternary fluid flows
The scalar auxiliary variable (SAV) approach for gradient flows
Reformulation of elasticity theory for discontinuities and long-range forces
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint
An efficient time-dependent auxiliary variable approach for the three-phase conservative Allen-Cahn fluids
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system
A high order operator splitting method based on spectral deferred correction for the nonlocal viscous Cahn-Hilliard equation
Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models
The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation
A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations
Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation
Stability and error estimate of the operator splitting method for the phase field crystal equation
First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces
A new nonlocal macro-meso-scale consistent damage model for crack modeling of quasi-brittle materials
Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation
Fast and stable explicit operator splitting methods for phase-field models
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model
Numerical schemes for a three component Cahn-Hilliard model
Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
Study of a three component Cahn-Hilliard flow model
Total variation diminishing Runge-Kutta schemes
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
Nth-Order Operator Splitting Schemes and Nonreversible Systems
Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation
Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model
Free Energy of a Nonuniform System. I. Interfacial Free Energy
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
On the Construction and Comparison of Difference Schemes
Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains
Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models

This page was built for publication: Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model