author = {Clarenz, Ulrich and Hau{\ss}er, Frank and Rumpf, Martin and Voigt,
	Axel and Weikard, Ulrich},
  title = {On level set formulations for anisotropic mean curvature flow and
	surface diffusion},
  booktitle = {Multiscale Modeling in Epitaxial Growth},
  year = {2004},
  editor = {Axel Voigt},
  volume = {149},
  series = {International Series of Numerical Mathematics},
  pages = {227--238},
  publisher = {Birkh{\"{a}}user},
  abstract = {Anisotropic mean curvature motion and in particular anisotropic surface
	diffusion play a crutial role in the evolution of material interfaces
	on microdevices. This evolution interacts with conservations laws
	in the adjacent phases on both sides of the interface and are frequently
	expected to undergo topological chances. Thus, a level set formulation
	is an appropriate way to describe the propagation. Here we recall
	a general approach for the integration of geometric gradient flows
	over level set ensembles and apply it to derive a variational formulation
	for the level set representation of anisotropic mean curvature motion
	and anisotropic surface flow. The variational formulation leads to
	a semi-implicit discretization and enables the use of linear finite
  pdf = { 1}