A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential (Q2115076)

scientific article; zbMATH DE number 7490253

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English	A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential	scientific article; zbMATH DE number 7490253

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instance of

scholarly article

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title

A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential (English)

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author

Yanyan Li

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published in

Computational and Applied Mathematics

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publication date

15 March 2022

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zbMATH Keywords

Swift-Hohenberg equation

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phase field crystal equation

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vacancy

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unique solvability

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energy stable

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40314-022-01801-w

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cites work

Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation

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Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

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Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

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The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

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The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods

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A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional

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Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation

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A semi-analytical Fourier spectral method for the Swift-Hohenberg equation

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An energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity

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First and second order operator splitting methods for the phase field crystal equation

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First- and second-order energy stable methods for the modified phase field crystal equation

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Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes

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On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations

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A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model

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Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation

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Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model

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Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential

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Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction

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A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems

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Unconditionally energy stable DG schemes for the Swift-Hohenberg equation

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Efficient and accurate structure preserving schemes for complex nonlinear systems

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems

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

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First and second order numerical methods based on a new convex splitting for phase-field crystal equation

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

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

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Efficient and linear schemes for anisotropic Cahn-Hilliard model using the stabilized-invariant energy quadratization (S-IEQ) approach

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Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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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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On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure

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Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential

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

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Identifiers

zbMATH Open document ID

1499.65382

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Mathematics Subject Classification ID

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10.1007/S40314-022-01801-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2115076