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Journal of Scientific Computing

Erschienen in:

02.08.2016

On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations

verfasst von: Dong Li, Zhonghua Qiao

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2017

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Abstract

We consider several seconder order in time stabilized semi-implicit Fourier spectral schemes for 2D Cahn–Hilliard equations. We introduce new stabilization techniques and prove unconditional energy stability for modified energy functionals. We also carry out a comparative study of several classical stabilization schemes and identify the corresponding stability regions. In several cases the energy stability is proved under relaxed constraints on the size of the time steps. We do not impose any Lipschitz assumption on the nonlinearity. The error analysis is obtained under almost optimal regularity assumptions.

Vorheriger Artikel Uniform Convergent Tailored Finite Point Method for Advection–Diffusion Equation with Discontinuous, Anisotropic and Vanishing Diffusivity

Nächster Artikel A New Finite Element Analysis for Inhomogeneous Boundary-Value Problems of Space Fractional Differential Equations

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Titel: On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations
verfasst von: Dong Li
Zhonghua Qiao
Publikationsdatum: 02.08.2016
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-016-0251-4

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