一般三角剖分下离散外微积分的几何描述
微分几何
2018-06-07 v2
摘要
我们仅依靠向量微积分与矩阵代数,重新审视了二维一般三角剖分下的离散外微积分(DEC)理论。我们给出了泊松方程的DEC数值解,并将其与使用线性单元的有限元法(FEML)所得解进行比较。
引用
@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}
}
备注
We made some corrections, included one more example and added several figures