Convergence of discrete exterior calculus for the Hodge–Dirac operator

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Authors: Radovan Dabetić, Ralf Hiptmair
Cited by: 0
References: 13

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