We consider an area-minimizing scheme for anisotropic mean-curvature flow originally due to Chambolle (2004). We show the convergence of the scheme to anisotropic mean-curvature flow in the sense of Hausdorff distance by the level-set method provided that no fattening occurs.
"An area minimizing scheme for anisotropic mean curvature flow." Adv. Differential Equations 17 (11/12) 1031 - 1084, November/December 2012.