Stable nonconforming methods for the Stokes problem.

DOI10.1016/S0096-3003(99)00109-5zbMath1112.76331OpenAlexW51173305MaRDI QIDQ5931630

Youngjoon Cha, Lee, Sungyun, Mi Young Lee

Publication date: 25 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00109-5

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Unnamed Item
• Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
• Error Analysis of some Finite Element Methods for the Stokes Problem
• A technique for analysing finite element methods for viscous incompressible flow
• A non-conforming piecewise quadratic finite element on triangles
• Finite Element Methods for Navier-Stokes Equations
• Analysis of Mixed Methods Using Mesh Dependent Norms
• Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Mixed and Hybrid Finite Element Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Stable finite element methods for the Stokes problem