Israel Journal of Mathematics

, Volume 75, Issue 2, pp 257–271

Combinatorial approximation to the divergence of one-forms on surfaces

  • Lieven Smits
Article

DOI: 10.1007/BF02776027

Cite this article as:
Smits, L. Israel J. Math. (1991) 75: 257. doi:10.1007/BF02776027

Abstract

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.

Copyright information

© Hebrew University 1991

Authors and Affiliations

  • Lieven Smits
    • 1
  1. 1.Department of MathematicsUniversity of Antwerp (UIA)WilrijkBelgium