Combinatorial approximation to the divergence of one-forms on surfaces
- Cite this article as:
- Smits, L. Israel J. Math. (1991) 75: 257. doi:10.1007/BF02776027
We consider the approximation of a differential operator on forms by combinatorial objects via the correspondences of Whitney and de Rham. We prove that the Hilbert space dual of the combinatorial coboundary is an L2 approximation to the codifferential of one-forms on a two-dimensional Riemannian manifold.