Minimal Sets of Unisolvent Weights for High Order Whitney Forms on Simplices

DOI10.1007/978-3-030-55874-1_18zbMath1470.65192OpenAlexW3157325508MaRDI QIDQ5152806

Francesca Rapetti, Ludovico Bruni Bruno, Ana M. Alonso Rodriguez

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_18

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (4)

On a generalization of the Lebesgue's constant ⋮ Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms ⋮ New degrees of freedom for high-order Whitney approximations of Darcy's flows ⋮ Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements

Cites Work

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• Mixed finite elements in \(\mathbb{R}^3\)
• On high order finite element spaces of differential forms
• Finite element exterior calculus, homological techniques, and applications
• Whitney Forms of Higher Degree
• Canonical construction of finite elements

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