Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms
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Publication:6094184
DOI10.1051/m2an/2022088arXiv2205.05746OpenAlexW4307818949MaRDI QIDQ6094184
Enrico Zampa, Ludovico Bruni Bruno
Publication date: 13 September 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.05746
Numerical interpolation (65D05) Numerical approximation and computational geometry (primarily algorithms) (65D99) Discrete differential geometry (53A70)
Cites Work
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- The Gasca-Maeztu conjecture for \(n=5\)
- High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements in \(\mathbb{R}^3\)
- On Lagrange and Hermite interpolation in \(R^ k\).
- Continuity of the integral as a function of the domain
- Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus
- Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements
- MFEM: a modular finite element methods library
- Nédélec spaces in affine coordinates
- Multivariate polynomial interpolation: conjectures concerning GC-sets
- Using the FES framework to derive new physical degrees of freedom for finite element spaces of differential forms
- On high order finite element spaces of differential forms
- Introduction to Smooth Manifolds
- Topics in structure-preserving discretization
- Finite element exterior calculus, homological techniques, and applications
- A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES
- Foundations of Finite Element Methods for Wave Equations of Maxwell Type
- Whitney Forms of Higher Degree
- On Lattices Admitting Unique Lagrange Interpolations
- Canonical construction of finite elements
- On a Class of Finite Elements Generated by Lagrange Interpolation
- Generalized finite difference schemes with higher order Whitney forms
- Minimal Sets of Unisolvent Weights for High Order Whitney Forms on Simplices
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