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<p>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 [<span>Johnny Guzmán and Pratyush Potu</span>, <i>A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms</i>, <a href="https://arxiv.org/abs/2505.08934">arXiv Preprint 2505.08934</a>, 2025].</p>

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Convergence of discrete exterior calculus for the Hodge–Dirac operator

  • 期刊论文

  • 发表日期：

    2026年5月7日

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  • Radovan Dabetić,
  • Ralf Hiptmair

摘要

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].