Some error estimates for the DEC method in the plane
Numerical Analysis
2019-07-17 v1 Numerical Analysis
Abstract
We show that the Discrete Exterior Calculus (DEC) method can be cast as the earlier box method for the Poisson problem in the plane. Consequently, error estimates are established, proving that the DEC method is comparable to the Finite Element Method with linear elements. We also discuss some virtues, others than convergence, of the DEC method.
Keywords
Cite
@article{arxiv.1907.06762,
title = {Some error estimates for the DEC method in the plane},
author = {Ruben Carrillo and Miguel Angel Moreles and Rafael Herrera},
journal= {arXiv preprint arXiv:1907.06762},
year = {2019}
}