Discretising geometry and preserving topology I: A discrete exterior calculus

Vivien de Beauce; Siddhartha Sen

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arXiv · hep-th/0403206

Discretising geometry and preserving topology I: A discrete exterior calculus

Vivien de Beauce·Siddhartha Sen

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Abstract

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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Vivien de Beauce, Siddhartha Sen. 2004-06-05. Discretising geometry and preserving topology I: A discrete exterior calculus. https://arxiv.org/abs/hep-th/0403206

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