Quad-SAV scheme for gradient systems (Q6489277)

scientific article; zbMATH DE number 7834883

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English	Quad-SAV scheme for gradient systems	scientific article; zbMATH DE number 7834883

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instance of

scholarly article

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title

Quad-SAV scheme for gradient systems (English)

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author

Aziz Takhirov

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published in

Journal of Computational and Applied Mathematics

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publication date

19 April 2024

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zbMATH Keywords

energy stability

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Allen-Cahn

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Cahn-Hilliard

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positivity-preserving

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gradient systems

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Fourier-spectral method

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MaRDI profile type

MaRDI publication profile

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cites work

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

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DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

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GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING

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Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting

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The phase field method for geometric moving interfaces and their numerical approximations

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Numerical Analysis of a Continuum Model of Phase Transition

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

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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Efficient modified techniques of invariant energy quadratization approach for gradient flows

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Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method

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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

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Splitting schemes for phase-field models

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The scalar auxiliary variable (SAV) approach for gradient flows

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A variant of scalar auxiliary variable approaches for gradient flows

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

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Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates

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A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

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

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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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Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations

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Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions

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Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable

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Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation

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Spectral Methods

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

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New development in freefem++

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAM.2024.115768

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Sitelinks

Mathematics(1 entry)

mardi Publication:6489277