Dieu Hung Hoang, Michal Beneš, Department of Mathematics, Faculty of Nuclear Science and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Praha, Czech Republic, e-mail: hoangdieu@fjfi.cvut.cz, michal.benes@fjfi.cvut.cz
Abstract: 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.
Keywords: anisotropy; mean curvature flow; Finsler metric; fused deposition modeling; epitaxial growth
Classification (MSC 2010): 35K57, 35K65, 65N40, 53C80
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