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.
翻译:本文旨在作为离散外微积分(DEC)的操作指南,同时保持严谨的论述。我们提出了一种基于立方单元的离散外微积分版本,并将其定义在离散流形上。通过离散环面的实例,展示了该方法的运作方式,并还原了经典的高斯定理和斯托克斯定理。