Whitney forms and their extensions
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Publication:2020578
DOI10.1016/j.cam.2021.113520zbMath1468.65200OpenAlexW3134909915WikidataQ109931709 ScholiaQ109931709MaRDI QIDQ2020578
Publication date: 23 April 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113520
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Differential forms in global analysis (58A10)
Related Items
New degrees of freedom for differential forms on cubical meshes, A characterization of Whitney forms, Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes, Data-driven Whitney forms for structure-preserving control volume analysis, Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus
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Cites Work
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- Construction of scalar and vector finite element families on polygonal and polyhedral meshes
- High-order finite elements in numerical electromagnetism: degrees of freedom and generators in duality
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Geometric decompositions and local bases for spaces of finite element differential forms
- Cochain algebra on manifolds and convergence under refinement
- A uniform rationale for Whitney forms on various supporting shapes
- Mixed finite elements in \(\mathbb{R}^3\)
- A new viewpoint on mixed elements
- On the \(p\)- and \(hp\)-extension of Nédélec's curl-conforming elements
- Whitney elements on pyramids
- Multigrid in H(div) and H(curl)
- Orientation embedded high order shape functions for the exact sequence elements of all shapes
- \(H^1, H(\text{curl})\) and \(H(\text{div})\) conforming elements on polygon-based prisms and cones
- High-order optimal edge elements for pyramids, prisms and hexahedra
- Operator calculus of differential chains and differential forms
- Weights computation for simplicial Whitney forms of degree one
- Construction of Nearly Orthogonal Nedelec Bases for Rapid Convergence with Multilevel Preconditioned Solvers
- On high order finite element spaces of differential forms
- Constructions of some minimal finite element systems
- High-order conforming finite elements on pyramids
- Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
- Topics in structure-preserving discretization
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES
- Finite element exterior calculus: from Hodge theory to numerical stability
- Whitney Forms of Higher Degree
- Finite-Difference Approach to the Hodge Theory of Harmonic Forms
- Multigrid Method for Maxwell's Equations
- Canonical construction of finite elements
- Yee-like schemes on a tetrahedral mesh, with diagonal lumping
- p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
- Hierarchic finite element bases on unstructured tetrahedral meshes
- Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
- Trimmed serendipity finite element differential forms
- Gradient Bounds for Wachspress Coordinates on Polytopes
- Finite element differential forms on cubical meshes
- High order edge elements on simplicial meshes
- High order Nédélec elements with local complete sequence properties
- A dual finite element complex on the barycentric refinement
