Weights for moments’ geometrical localization: a canonical isomorphism

This paper deals with high order Whitney forms. We define a canonical isomorphism between two sets of degrees of freedom. This allows to geometrically localize the classical degrees of freedom, the moments, over the elements of a simplicial mesh. With such a localization, it is thus possible to asso...

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Veröffentlicht in:	Advances in computational mathematics 2024-08, Vol.50 (4), Article 86
Hauptverfasser:	Alonso Rodríguez, Ana, Camaño, Jessika, De Los Santos, Eduardo, Rapetti, Francesca
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational Mathematics and Numerical Analysis Computational Science and Engineering Degrees of freedom Isomorphism Localization Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Visualization
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Zusammenfassung:	This paper deals with high order Whitney forms. We define a canonical isomorphism between two sets of degrees of freedom. This allows to geometrically localize the classical degrees of freedom, the moments, over the elements of a simplicial mesh. With such a localization, it is thus possible to associate, even with moments, a graph structure relating a field with its potential.
ISSN:	1019-7168 1572-9044
DOI:	10.1007/s10444-024-10183-y