High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation (Q6106942)

scientific article; zbMATH DE number 7705779

Language	Label	Description	Also known as
English	High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation	scientific article; zbMATH DE number 7705779

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instance of

scholarly article

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title

High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation (English)

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published in

Applied Numerical Mathematics

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publication date

3 July 2023

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zbMATH Keywords

Allen-Cahn equations

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unconditionally maximum-principle preserving

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integrating factor Runge-Kutta

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finite element method

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mass-lumping

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MaRDI profile type

MaRDI publication profile

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cites work

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Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations

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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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Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations

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Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms

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Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations

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

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

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Nonlocal reaction—diffusion equations and nucleation

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

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A phase field concept for multiphase systems

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On Logarithmic Norms

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

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Galerkin finite element methods for parabolic problems

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Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential

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Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential

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The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle

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

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Q4620430

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Sufficient conditions for a discrete maximum principle for high order collocation methods

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

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Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations

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Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation

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Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn equation with precise nonlocal mass conservation

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Identifiers

DOI

10.1016/j.apnum.2023.03.002

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6106942