Numerical Simulation of Anisotropic Surface Diffusion of Graphs

D. H. Hoang () and M. Beneš ()
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D. H. Hoang: Czech Technical University, Department of Mathematics,Faculty of Nuclear Sciences and Physical Engineering
M. Beneš: Czech Technical University, Department of Mathematics,Faculty of Nuclear Sciences and Physical Engineering

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 175-182 from Springer

Abstract: Abstract The aim of this contribution is the numerical simulation of anisotropic surface diffusion of graphs in the context of the epitaxial growth of quantum dots. The numerical scheme is based on the method of lines where the spatial derivatives are approximated by finite differences (Beneš, Appl Math, 48:437–453, 2003). We then solve the resulting ODE system by means of the adaptive Runge-Kutta-Merson method. Finally, we show computational results with various anisotropy settings leading to singular behaviour.

Keywords: Elastic Energy; Finsler Geometry; Elastic Energy Density; Lower Surface Free Energy; Surface Energy Anisotropy (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_19

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DOI: 10.1007/978-3-642-33134-3_19

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