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arXiv · 1802.01158

A geometric description of Discrete Exterior Calculus for general triangulations

Humberto Esqueda·Rafael Herrera·Salvador Botello·Miguel Angel Moreles
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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).

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Humberto Esqueda, Rafael Herrera, Salvador Botello, Miguel Angel Moreles. 2018-02-04. A geometric description of Discrete Exterior Calculus for general triangulations. https://arxiv.org/abs/1802.01158

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