The inf-sup constant for \textit{hp}-Crouzeix-Raviart triangular elements
DOI10.1016/j.camwa.2023.08.023arXiv2204.01270OpenAlexW4386586158MaRDI QIDQ6048990
Publication date: 13 October 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.01270
Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Unnamed Item
- Gauss-Legendre elements: a stable, higher order non-conforming finite element family
- A three-dimensional quadratic nonconforming element
- Mixed \(hp\) finite element methods for Stokes and non-Newtonian flow
- On the constants in \(hp\)-finite element trace inverse inequalities.
- A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method
- Mixed \(hp\) finite element methods for problems in elasticity and Stokes flow
- Critical functions and inf-sup stability of Crouzeix-Raviart elements
- Crouzeix-Velte decompositions for higher-order finite elements
- Inf-sup stable nonconforming finite elements of arbitrary order on triangles
- Conforming and divergence-free Stokes elements on general triangular meshes
- Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements
- A non-conforming piecewise quadratic finite element on triangles
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Nonconforming Finite Elements for the Stokes Problem
- The Scott-Vogelius finite elements revisited
- Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. I---Abstract Theory
- Quasi-Optimal Nonconforming Methods for Symmetric Elliptic Problems. II---Overconsistency and Classical Nonconforming Elements
- Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles
- Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part I: Uniform Stability
- Crouzeix-Raviart triangular elements are inf-sup stable
- Forty Years of the Crouzeix‐Raviart element
- A family of Crouzeix–Raviart finite elements in 3D
- On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D
- Stable nonconforming methods for the Stokes problem.
- Intrinsic finite element methods for the computation of fluxes for Poisson's equation
This page was built for publication: The inf-sup constant for \textit{hp}-Crouzeix-Raviart triangular elements