Combinatorial Approximation to the Divergence of One-Forms on Surfaces

Author

Lieven Smits

Bibliographical Reference

Israel Journal of Mathematics, volume 75 (1991), pages 257-271.

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.

Availability

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References

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