Critical functions and inf-sup stability of Crouzeix-Raviart elements

DOI10.1016/j.camwa.2021.12.010OpenAlexW4226065923MaRDI QIDQ2074099

Carsten Carstensen, Stefan A. Sauter

Publication date: 4 February 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14981

zbMATH Keywords

Crouzeix-Raviart elementsnon-conforming finite elementsStokes equationmacroelement technique

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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)

Related Items

Crouzeix-Raviart triangular elements are inf-sup stable ⋮ 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 ⋮ On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D

Uses Software

• DLMF

Cites Work

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