| Discretising geometry and preserving topology I: A discrete exterior calculus (2004) | |||||||||
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.. Comment: 26 pages, improved version with Lie group interpretation. References added | |||||||||
Details der Publikation | |||||||||
| |||||||||