Discrete calculus with cubic cells on discrete manifolds

This work is thought as an operative guide to discrete exterior calculus (DEC), but at the same time with a rigorous exposition. We present a version of (DEC) on cubic cell, defining it for discrete manifolds. An example of how it works, it is done on the discrete torus, where usual Gauss and Stokes...

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Author: De Carlo, Leonardo
Format: Article
Language:English
Subjects:
Manifolds
Toruses
Online Access:Get full text
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Summary:This work is thought as an operative guide to discrete exterior calculus (DEC), but at the same time with a rigorous exposition. We present a version of (DEC) on cubic cell, defining it for discrete manifolds. An example of how it works, it is done on the discrete torus, where usual Gauss and Stokes theorems are recovered.
ISSN:2331-8422