High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation (Q2075953)

scientific article; zbMATH DE number 7474399

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English	High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation	scientific article; zbMATH DE number 7474399

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instance of

scholarly article

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title

High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation (English)

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Journal of Computational and Applied Mathematics

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publication date

16 February 2022

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zbMATH Keywords

gradient flows

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RK method

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EQ approach

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DG methods

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energy stability

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cam.2021.114015

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cites work

Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks

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A class of pattern-forming models

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Unconditionally energy stable DG schemes for the Swift-Hohenberg equation

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Numerical scheme for Swift-Hohenberg equation with strict implementation of Lyapunov functional.

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Implicit time splitting for fourth-order parabolic equations

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

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

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An energy-stable generalized-\(\alpha\) method for the Swift-Hohenberg equation

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Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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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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Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs

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Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition

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Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow

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A discontinuous Galerkin method for the Cahn-Hilliard equation

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The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

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The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

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Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

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A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

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

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A discontinuous Galerkin spectral/\(hp\) method on hybrid grids

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

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Regularized linear schemes for the molecular beam epitaxy model with slope selection

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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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Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models

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Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models

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Arbitrarily high-order linear energy stable schemes for gradient flow models

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Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation

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

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

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Stability Criteria for Implicit Runge–Kutta Methods

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A revisit of the energy quadratization method with a relaxation technique

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Q4291922

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Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation

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Pattern selection of solutions of the Swift--Hohenberg equation

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The Swift-Hohenberg equation with a nonlocal nonlinearity

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Identifiers

zbMATH Open document ID

1491.65145

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Mathematics Subject Classification ID

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10.1016/J.CAM.2021.114015

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Sitelinks

Mathematics(1 entry)

mardi Publication:2075953