Title:  Calculus on Meshes -- Part II

                   Mathieu Desbrun
   Center for the Mathematics of Information
       California Institute of Technology

Abstract: In this lecture, we will discuss how one can use a mesh as a
computational structure. In particular, we will design of a (discrete
exterior) calculus on simplicial complexes that respects the fundamental
properties of traditional calculus. Building upon the exterior calculus of
differential forms dating back to Poincaré, we will define a fully discrete
de Rham complex.    This novel set-up will then be put to good 
use, leading to simple definition of operators like div, grad, or curl.
Applications including discrete Hodge decomposition or physical simulations
will be mentioned.