The stabilized exponential-SAV approach for the Allen-Cahn equation with a general mobility

DOI10.1016/j.aml.2024.109037MaRDI QIDQ6540972

Yuelong Tang

Publication date: 17 May 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Allen-Cahn equationenergy stabilitymaximum bound principleexponential scalar auxiliary variable approachgeneral mobility

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

• The scalar auxiliary variable (SAV) approach for gradient flows
• Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations
• A new second-order maximum-principle preserving finite difference scheme for Allen-Cahn equations with periodic boundary conditions
• Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations
• A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations
• Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
• Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
• Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
• The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
• On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

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