2D discrete Hodge-Dirac operator on the torus

We discuss a discretisation of the de Rham-Hodge theory in the two-dimensional case based on a discrete exterior calculus framework. We present discrete analogues of the Hodge-Dirac and Laplace operators in which key geometric aspects of the continuum counterpart are captured. We provide and prove a...

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Veröffentlicht in:	arXiv.org 2022-02
1. Verfasser:	Sushch, Volodymyr
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Computer Science - Numerical Analysis Homology Mathematical analysis Mathematics - Combinatorics Mathematics - Differential Geometry Mathematics - Mathematical Physics Mathematics - Numerical Analysis Physics - Mathematical Physics Toruses
Online-Zugang:	Volltext
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