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Weights for moments’ geometrical localization: A canonical isomorphism

2024, Dra. Camaño-Valenzuela, Jessika, Alonso-Rodríguez, Ana, De Los Santos, Eduardo, Rapetti, Francesca

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.