Exact sequences on Worsey–Farin splits
From MaRDI portal
Publication:5103752
DOI10.1090/mcom/3746zbMath1501.65120arXiv2008.05431OpenAlexW3048695891MaRDI QIDQ5103752
Michael Neilan, Anna Lischke, Johnny Guzmán
Publication date: 8 September 2022
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.05431
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items (5)
A note on the shape regularity of Worsey-Farin splits ⋮ Hilbert complexes: analysis, applications, and discretizations. Abstracts from the workshop held June 19--25, 2022 ⋮ Discrete elasticity exact sequences on Worsey–Farin splits ⋮ Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes ⋮ Two Conjectures on the Stokes Complex in Three Dimensions on Freudenthal Meshes
Cites Work
- Unnamed Item
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Quadratic divergence-free finite elements on Powell--Sabin tetrahedral grids
- A family of 3D continuously differentiable finite elements on tetrahedral grids
- A trivariate Powell-Sabin interpolant
- Generalized finite element systems for smooth differential forms and Stokes' problem
- A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method
- Polynomial approximation on tetrahedrons in the finite element method
- A characterization of supersmoothness of multivariate splines
- Exact sequences on Powell-Sabin splits
- Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
- Conforming and divergence-free Stokes elements on general triangular meshes
- Spline Functions on Triangulations
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
- A new family of stable mixed finite elements for the 3D Stokes equations
- Exact smooth piecewise polynomial sequences on Alfeld splits
- Discrete and conforming smooth de Rham complexes in three dimensions
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions
This page was built for publication: Exact sequences on Worsey–Farin splits
