Displaying similar documents to “Computation of equilibrium foam structures using the surface evolver.”

First variation of the general curvature-dependent surface energy

Günay Doğan, Ricardo H. Nochetto (2011)

ESAIM: Mathematical Modelling and Numerical Analysis


We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise...