A simple construction of a Fortin operator for the two dimensional Taylor-Hood element

DOI10.1016/j.camwa.2014.09.003zbMath1367.65168OpenAlexW2058588053MaRDI QIDQ2363840

Long Chen

Publication date: 26 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.09.003

zbMATH Keywords

finite elementinf-sup conditionStokes equationsFortin operator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media ⋮ Conforming virtual element approximations of the two-dimensional Stokes problem ⋮ Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods ⋮ Fortin operator for the Taylor-Hood element ⋮ Accuracy controlled data assimilation for parabolic problems

Cites Work

• Unnamed Item
• Unnamed Item
• A stable finite element for the Stokes equations
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• A numerical solution of the Navier-Stokes equations using the finite element technique
• Local mass conservation of Stokes finite elements
• A uniformly stable Fortin operator for the Taylor-Hood element
• Error estimates for a mixed finite element approximation of the Stokes equations
• Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
• Stability of Higher-Order Hood–Taylor Methods
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Locally mass-conserving Taylor-Hood elements for two- and three-dimensional flow
• A Fortin operator for two-dimensional Taylor-Hood elements
• Stable and Semistable Low Order Finite Elements for Viscous Flows
• Finite Element Methods for Navier-Stokes Equations
• An analysis of the convergence of mixed finite element methods
• STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS

This page was built for publication: A simple construction of a Fortin operator for the two dimensional Taylor-Hood element