A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility (Q6133436)

scientific article; zbMATH DE number 7729921

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English	A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	scientific article; zbMATH DE number 7729921

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instance of

scholarly article

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title

A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility (English)

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Mathematics of Computation

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publication date

18 August 2023

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full work available at URL

https://arxiv.org/abs/2211.00852

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zbMATH Keywords

Allen-Cahn equation

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general mobility

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maximum bound principle

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nonuniform time steps

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MaRDI profile type

MaRDI publication profile

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cites work

Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

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Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

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Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

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A second order backward difference method with variable steps for a parabolic problem

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Applications of semi-implicit Fourier-spectral method to phase field equations

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A linear energy stable scheme for a thin film model without slope selection

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A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

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Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential

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A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

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An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation

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A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability

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A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

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A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving

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A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving

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High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models

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Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

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A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

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A variant of scalar auxiliary variable approaches for gradient flows

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An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows

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

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Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations

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Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations

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Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

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Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows

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Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations

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Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations

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Fast explicit integration factor methods for semilinear parabolic equations

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Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations

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Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint

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Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle

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A second order energy stable linear scheme for a thin film model without slope selection

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Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation

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Energy stability and convergence of SAV block-centered finite difference method for gradient flows

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Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

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Analysis of adaptive BDF2 scheme for diffusion equations

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Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

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An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation

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Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

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On Convergence of Block-Centered Finite Differences for Elliptic Problems

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Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations

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An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

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A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

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Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations

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On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation

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Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation

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Identifiers

zbMATH Open document ID

1522.65142

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arXiv ID

2211.00852

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6133436