Abstract
In this paper, we study a geometric approach for constructing physical degrees of freedom for sequences of finite element spaces. Within the framework of finite element systems, we propose new degrees of freedom for the spaces \(\mathcal {P}_{r}{\varLambda }^{k}\) of polynomial differential forms and we verify numerically their unisolvence.
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Funding
Open access funding provided by Università degli Studi di Trento within the CRUI-CARE Agreement. This research was supported by the Italian project PRIN-201752HKH8 of the Università degli Studi di Trento and by the French Agence Nationale de la Recherche through the grant ANR-15-IDEX-01 of the Université Côte d’Azur in Nice.
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Communicated by: Lourenco Beirao da Veiga
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Zampa, E., Alonso Rodríguez, A. & Rapetti, F. Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms. Adv Comput Math 49, 17 (2023). https://doi.org/10.1007/s10444-022-10001-3
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DOI: https://doi.org/10.1007/s10444-022-10001-3