Finite element methods for the Stokes problem in \({\mathbb{R}}^3\)

DOI10.1016/S0893-9659(00)00067-7zbMath0955.65085MaRDI QIDQ1585532

R. Smith

Publication date: 16 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

stabilizationStokes problemmixed finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

Stable finite element methods with divergence augmentation for the Stokes problem ⋮ Modified cross-grid finite elements for the Stokes problem

Cites Work

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• A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Analysis of new augmented Lagrangian formulations for mixed finite element schemes
• Stability of Higher-Order Hood–Taylor Methods
• Error Analysis of some Finite Element Methods for the Stokes Problem
• 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
• Three-Dimensional Finite Element Methods for the Stokes Problem
• Stable finite element methods for the Stokes problem

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