Discretising geometry and preserving topology I: A discrete exterior calculus

Details Discretising geometry and preserving topology I: A discrete exterior calculus Discretising geometry and preserving topology I: A discrete exterior calculus

2004-03-21

arxiv.org/abs/hep-th/0403206v2

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, improved version with Lie group interpretation. References added

Scientific paper

A discretisation scheme that preserves topological features of a physical problem is extended so that differential geometric structures can be approximated in a consistent way thus giving access to the study of physical systems which are not solely topological theories. Issues of convergence and a numerical implementation are discussed. The follow-up article covers the resulting discretisation scheme with metric data.

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