Dra. Camaño-Valenzuela, Jessika

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Nombre de publicación
Dra. Camaño-Valenzuela, Jessika
Nombre completo
Camaño Valenzuela, Jessika Pamela
Facultad
Email
jecamano@ucsc.cl
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Has files: true × Subject: High-order finite elements ×

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    Publication
    Basis for high order divergence-free finite element spaces
    (Elsevier, 2024)
    Dra. Camaño-Valenzuela, Jessika 
    ;
    Alonso-Rodríguez, A.
    ;
    De Los Santos, E.
    ;
    Rapetti, F.
    A method classically used in the lower polynomial degree for the construction of a finite element basis of the space of divergence-free functions is here extended to any polynomial degree for a bounded domain without topological restrictions. The method uses graphs associated with two differential operators: the gradient and the divergence, and selects the basis using a spanning tree of the first graph. It can be applied for the two main families of degrees of freedom, weights and moments, used to express finite element differential forms.