Stable nonconforming quadrilateral finite elements for the Stokes problem

DOI10.1016/S0096-3003(99)00145-9zbMath1028.76025MaRDI QIDQ5931648

Kim, Yongdeok, Lee, Sungyun

Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical stabilityBabuška-Brezzi conditionbubble functionsdiscontinuous piecewise linear pressure approximationenergy normoptimal order error estimatesstationary Stokes problem

Mathematics Subject Classification ID

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

Related Items (3)

A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations ⋮ A two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equations ⋮ Three-dimensional stable nonconforming parallelepiped elements for the Stokes problem.

Cites Work

• The quadrilateral `mini' finite element for the Stokes problem
• Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
• Error Analysis of some Finite Element Methods for the Stokes Problem
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Simple nonconforming quadrilateral Stokes element
• The stability of finite element methods
• Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems

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