Some error estimates for the DEC method in the plane

2019/07/15 by Carrillo, Ruben, Moreles, Miguel Angel, Herrera, Rafael
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1907.06762

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.

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