author = {Nemadjieu, Simplice Firmin},
  title = {A Convergent Finite Volume type O-method on Evolving Surfaces},
  booktitle = {Proceedings of the 8th International Conference of Numerical Analysis
	and Applied Mathematics},
  year = {2010},
  volume = {1281},
  series = {AIP Conference Proceedings},
  pages = {2184--2187},
  abstract = {We present a finite volume scheme for anisotropic diffusion on evolving
	hypersurfaces. The underlying motion is assumed to be described by
	a fixed, not necessarily normal, velocity field. The ingredients
	of the numerical method are an approximation of the family of surfaces
	by a family of interpolating polygonal meshes, where grid vertices
	move on motion trajectories, a consistent finite volume discretization
	of the induced transport on the cells (polygonal patches), and a
	proper incorporation of a diffusive flux balance at polygonal faces.
	The main stability results and convergence estimate are obtained.},
  doi = {10.1063/1.3498404},
  pdf = { 1},
  journal = {AIP Conference Proceedings}