Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms

DOI10.1007/s10444-022-10001-3OpenAlexW4319604071MaRDI QIDQ2692803

Enrico Zampa, Francesca Rapetti, Ana M. Alonso Rodriguez

Publication date: 23 March 2023

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-022-10001-3

zbMATH Keywords

high orderfinite element systemexterior differential calculusnew degrees of freedom

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Geometric decompositions and local bases for spaces of finite element differential forms
• Two families of mixed finite elements for second order elliptic problems
• Mixed finite elements in \(\mathbb{R}^3\)
• Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements
• On basis constructions in finite element exterior calculus
• Some remarks on spanning families and weights for high order Whitney spaces on simplices
• On high order finite element spaces of differential forms
• Topics in structure-preserving discretization
• Finite element exterior calculus, homological techniques, and applications
• A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES
• Whitney Forms of Higher Degree
• Electromagnetic Theory and Computation
• High order edge elements on simplicial meshes

This page was built for publication: Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms