Calculus of Variations and Geometric Measure Theory

M. Novaga - E. Paolini

A computational approach to fractures in crystal growth

modified on 07 Apr 2003


Published Paper

Last Updated: 7 apr 2003

Journal: Rend. Mat. Acc. Lincei
Volume: 10
Number: 31
Pages: 47-56
Year: 1999


In the present paper, we motivate and describe a numerical approach in order to detect the creation of fractures in a facet of a crystal evolving by anisotropic mean curvature. The result appears to be in accordance with the known examples of facet-breaking. Graphical simulations are included.

Keywords: crystal, numerical, fracture