A geometric description of Discrete Exterior Calculus for general triangulations
Differential Geometry
2018-06-07 v2
Abstract
We revisit the theory of Discrete Exterior Calculus (DEC) in 2D for general triangulations, relying only on Vector Calculus and Matrix Algebra. We present DEC numerical solutions of the Poisson equation and compare them against those found using the Finite Element Method with linear elements (FEML).
Keywords
Cite
@article{arxiv.1802.01158,
title = {A geometric description of Discrete Exterior Calculus for general triangulations},
author = {Humberto Esqueda and Rafael Herrera and Salvador Botello and Miguel Angel Moreles},
journal= {arXiv preprint arXiv:1802.01158},
year = {2018}
}
Comments
We made some corrections, included one more example and added several figures