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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Bibliographic Details
Published inAdvances in computational mathematics Vol. 50; no. 4
Main Authors Alonso Rodríguez, Ana, Camaño, Jessika, De Los Santos, Eduardo, Rapetti, Francesca
Format Journal Article
LanguageEnglish
Published New York Springer US 01.08.2024
Springer Nature B.V
Subjects
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
Finite element system
New degrees of freedom
Exterior differential calculus
65N30
High order
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Summary: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