Convergence of discrete exterior calculus for the Hodge–Dirac operator
Abstract
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 Preprint 2505.08934 , 2025].
Fields of Study & Subjects
Algebraic and Geometric Analysis
Advanced Mathematical Modeling in Engineering
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- CALCOLO
- Publisher
- Springer Science and Business Media LLC
- Volume
- 63
- Issue
- 2
- Publication date
- 7 May 2026
- Language
- EN