Geodesic
Forced anisotropic mean curvature flow of graphs in relative geometry
Mathematica Bohemica, Tome 139 (2014) no. 2, pp. 429-436

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The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics. A semi-discrete numerical scheme based on the method of lines is presented. Computational results with various anisotropy settings are shown and discussed.
The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics. A semi-discrete numerical scheme based on the method of lines is presented. Computational results with various anisotropy settings are shown and discussed.
DOI : 10.21136/MB.2014.143867
Classification : 35K57, 35K65, 53C44, 53C60, 53C80, 65M20, 65N40
Keywords: anisotropy; mean curvature flow; Finsler metric; fused deposition modeling; epitaxial growth 
Hoang, Dieu Hung; Beneš, Michal. Forced anisotropic mean curvature flow of graphs in relative geometry. Mathematica Bohemica, Tome 139 (2014) no. 2, pp. 429-436. doi: 10.21136/MB.2014.143867
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