A Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Square Phase Field Crystal Equation

In this paper we propose and analyze a second order accurate (in time) numerical scheme for the square phase field crystal equation, a gradient flow modeling crystal dynamics at the atomic scale in space but on diffusive scales in time. Its primary difference with the standard phase field crystal mo...

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Veröffentlicht in:	Journal of scientific computing Jg. 88; H. 2; S. 33
Hauptverfasser:	Wang, Min, Huang, Qiumei, Wang, Cheng
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York Springer US 01.08.2021 Springer Nature B.V
Schlagworte:	Algorithms Approximation Computational Mathematics and Numerical Analysis Crystals Eigenvalues Energy Free energy Gradient flow Lower bounds Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical models Mathematics Mathematics and Statistics Nonlinearity Numerical methods Stability Symmetry Theoretical Thin films 35K30 Second order BDF stencil Square phase field crystal equation 65M70 Energy stability Optimal rate convergence analysis The Scalar auxiliary variable (SAV)method 65K10 Fourier pseudo-spectral approximation 65M12 35K55
ISSN:	0885-7474, 1573-7691
Online-Zugang:	Volltext
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