New degrees of freedom for differential forms on cubical meshes

DOI10.1007/s10444-023-10047-xzbMath1518.65133arXiv2209.01954MaRDI QIDQ6132850

Jonni Lohi

Publication date: 14 July 2023

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

Full work available at URL: https://arxiv.org/abs/2209.01954

zbMATH Keywords

differential formsdegrees of freedomcochainsdiscrete exterior calculuscubical mesh

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Differential forms in global analysis (58A10) Approximation by polynomials (41A10)

Cites Work

• Unnamed Item
• Geometric decompositions and local bases for spaces of finite element differential forms
• On an integration rule for products of barycentric coordinates over simplexes in \(\mathbb{R}^n\)
• Whitney forms and their extensions
• Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus
• Finite element differential forms on curvilinear cubic meshes and their approximation properties
• Spaces of Finite Element Differential Forms
• Finite element exterior calculus, homological techniques, and applications
• Whitney Forms of Higher Degree
• Generalized finite difference schemes with higher order Whitney forms

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