The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models (Q6101872)

scientific article; zbMATH DE number 7682834

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English	The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models	scientific article; zbMATH DE number 7682834

Statements

instance of

scholarly article

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title

The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models (English)

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DOI

10.1007/s10915-022-02085-2

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Journal of Scientific Computing

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publication date

5 May 2023

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Mathematics Subject Classification ID

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time-fractional

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ESAV

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unconditionally energy stable

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Allen-Cahn

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Cahn-Hilliard

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10915-022-02085-2

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OpenAlex ID

W4313595089

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cites work

Free Energy of a Nonuniform System. I. Interfacial Free Energy

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Linear second order in time energy stable schemes for hydrodynamic models of binary mixtures based on a spatially pseudospectral approximation

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Nonlinear three-dimensional simulation of solid tumor growth

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Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint

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Energy-dissipation for time-fractional phase-field equations

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation

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Time-fractional Allen-Cahn equations: analysis and numerical methods

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Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity

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Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows

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A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity

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Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

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The time-fractional Cahn–Hilliard equation: analysis and approximation

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Too much regularity may force too much uniqueness

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Time-fractional Cahn-Hilliard equation: well-posedness, degeneracy, and numerical solutions

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach

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A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach

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Compatible \(L^2\) norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection

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An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

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Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation

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Asymptotically compatible energy law of the Crank-Nicolson type schemes for time-fractional MBE models

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The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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The scalar auxiliary variable (SAV) approach for gradient flows

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Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach

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Mathematics(1 entry)

mardi Publication:6101872