Inverting the discrete curl operator: a novel graph algorithm to find a vector potential of a given vector field

We provide a novel framework to compute a discrete vector potential of a given discrete vector field on arbitrary polyhedral meshes. The framework exploits the concept of acyclic matching, a combinatorial tool at the core of discrete Morse theory. We introduce the new concept of complete acyclic mat...

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Veröffentlicht in:	arXiv.org
Hauptverfasser:	Pitassi, Silvano, Ghiloni, Riccardo, Specogna, Ruben
Format:	Paper
Sprache:	Englisch
Veröffentlicht:	Ithaca Cornell University Library, arXiv.org 08.11.2021
Schlagworte:	Algorithms Combinatorial analysis Equivalence Fields (mathematics) Gaussian elimination Obstructions Operators (mathematics) Sparse matrices Sparsity Topology Vector potentials
ISSN:	2331-8422
Online-Zugang:	Volltext
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