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.
Weights for moments’ geometrical localization: a canonical isomorphism / Alonso Rodríguez, Ana; Camaño, Jessika; De Los Santos, Eduardo; Rapetti, Francesca. - In: ADVANCES IN COMPUTATIONAL MATHEMATICS. - ISSN 1572-9044. - 50:4(2024), pp. 8601-8634. [10.1007/s10444-024-10183-y]
Weights for moments’ geometrical localization: a canonical isomorphism
Alonso Rodríguez, Ana
;De Los Santos, Eduardo;Rapetti, Francesca
2024-01-01
Abstract
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.| File | Dimensione | Formato | |
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