Convergence of Discrete Exterior Calculus for the Hodge-Dirac Operator
arXiv:2507.19405
Abstract
A short proof of convergence for the discretization of the Hodge-Dirac operator in the framework of discrete exterior calculus (DEC) is provided using the techniques established in [Johnny Guzmán and Pratyush Potu, A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms, arXiv:2505.08934, 2025]
Changes: Minor stylistic revisions, updated figures (fixed minor bugs in the code), and added some additional comments and references