On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D

DOI10.1090/mcom/3793OpenAlexW4310436390MaRDI QIDQ5879110

Céline Torres, Stefan A. Sauter

Publication date: 24 February 2023

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00062

zbMATH Keywords

Crouzeix-Raviart elementsnon-conforming finite elementsStokes equationmacroelement technique

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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)

Related Items (2)

The inf-sup constant for \textit{hp}-Crouzeix-Raviart triangular elements ⋮ Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions

Uses Software

• DLMF

Cites Work

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• Gauss-Legendre elements: a stable, higher order non-conforming finite element family
• A three-dimensional quadratic nonconforming element
• Critical functions and inf-sup stability of Crouzeix-Raviart elements
• Crouzeix-Velte decompositions for higher-order finite elements
• Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
• Error Analysis of some Finite Element Methods for the Stokes Problem
• 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
• Finite Element Methods for Navier-Stokes Equations
• Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
• 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
• Crouzeix-Raviart triangular elements are inf-sup stable
• Forty Years of the Crouzeix‐Raviart element
• Discrete and conforming smooth de Rham complexes in three dimensions
• A family of Crouzeix–Raviart finite elements in 3D
• Orthogonal Polynomials of Several Variables
• Stable nonconforming methods for the Stokes problem.
• Intrinsic finite element methods for the computation of fluxes for Poisson's equation

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