The quadrilateral `mini' finite element for the Stokes problem

DOI10.1016/S0045-7825(96)01146-2zbMath0895.76042MaRDI QIDQ1371701

Wen Bai

Publication date: 21 September 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

velocity spaceinternal degrees of freedommacroelement techniqueLBB stability conditions

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

CONTINUOUS Q1–Q1 STOKES ELEMENTS STABILIZED WITH NON-CONFORMING NULL EDGE AVERAGE VELOCITY FUNCTIONS ⋮ Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics ⋮ A new five-node locking-free quadrilateral element based on smoothed FEM for near-incompressible linear elasticity ⋮ Stable nonconforming quadrilateral finite elements for the Stokes problem ⋮ Local projection stabilization of equal order interpolation applied to the Stokes problem ⋮ A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids ⋮ On the stability of bubble functions and a stabilized mixed finite element formulation for the Stokes problem ⋮ A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems

Cites Work

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• Finite element approximation of the Navier-Stokes equations
• A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem
• A stable finite element for the Stokes equations
• Simple continuous pressure elements for two- and three-dimensional incompressible flows
• A relationship between stabilized finite element methods and the Galerkin method with bubble functions
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
• Error Analysis of some Finite Element Methods for the Stokes Problem
• Mixed and Hybrid Finite Element Methods

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