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

DOI10.1016/j.cam.2021.114015zbMath1491.65145OpenAlexW4206208254MaRDI QIDQ2075953

Peimeng Yin, Hai-liang Liu

Publication date: 16 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.114015

zbMATH Keywords

energy stabilitygradient flowsRK methodDG methodsEQ approach

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Full-rank and low-rank splitting methods for the Swift-Hohenberg equation ⋮ On the SAV‐DG method for a class of fourth order gradient flows ⋮ Error analysis of a linear unconditionally energy-stable leapfrog scheme for the Swift-Hohenberg equation ⋮ Effective time step analysis of convex splitting schemes for the Swift-Hohenberg equation ⋮ Optimal error estimates of the local discontinuous Galerkin method and high-order time discretization scheme for the Swift-Hohenberg equation ⋮ Error analysis of first- and second-order linear, unconditionally energy-stable schemes for the Swift-Hohenberg equation

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