2 citations · 2 across the 3 of their papers we have counts for
3 papers
Some error estimates for the DEC method in the plane
Ruben Carrillo, Miguel Angel Moreles, Rafael Herrera
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,…
Anisotropy in 2D Discrete Exterior Calculus
Humberto Esqueda, Rafael Herrera, Salvador Botello +1
We present a local formulation for 2D Discrete Exterior Calculus (DEC) similar to that of the Finite Element Method (FEM), which allows a natural treatment of material heterogeneit…
A geometric description of Discrete Exterior Calculus for general triangulations
Humberto Esqueda, Rafael Herrera, Salvador Botello +1
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 o…