Discretising geometry and preserving topology I
Vivien de Beauce, Siddhartha Sen · arXiv (Cornell University) · 2004
A discretisation scheme that preserves topological features of a physical problem is extended so that differential geometric structures can be approximated while preserving topological features present. Issues of convergence and a numerical implementation are discussed. The follow-up article covers the resulting discretisation of Riemannian geometry and some applications.