Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation (Q5045691)

scientific article; zbMATH DE number 7612912

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English	Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation	scientific article; zbMATH DE number 7612912

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instance of

scholarly article

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title

Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation (English)

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Advances in Applied Mathematics and Mechanics

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publication date

7 November 2022

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zbMATH Keywords

maximum-principle-preserving

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mass-conserving scheme

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the conservative Allen-Cahn equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/aamm.oa-2021-0325

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cites work

Geometrical image segmentation by the Allen-Cahn equation

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Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights

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Phase-Field Models for Multi-Component Fluid Flows

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A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect

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Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit

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An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation

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Fast and stable schemes for phase fields models

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Phase transitions and generalized motion by mean curvature

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

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

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A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier

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

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Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller--Segel Equations

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The stabilized semi-implicit finite element method for the surface Allen-Cahn equation

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A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces

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Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model

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Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations

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

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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On the stability and accuracy of partially and fully implicit schemes for phase field modeling

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Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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Analysis and applications of the exponential time differencing schemes and their contour integration modifications

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Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators

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Fast explicit integration factor methods for semilinear parabolic equations

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Fourth-Order Time-Stepping for Stiff PDEs

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Strong Stability Preserving Integrating Factor Runge--Kutta Methods

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

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Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations

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Nonlocal reaction—diffusion equations and nucleation

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

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State

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Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

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Identifiers

DOI

10.4208/aamm.OA-2021-0325

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5045691