Error Analysis of some Finite Element Methods for the Stokes Problem
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Publication:3481195
DOI10.2307/2008498zbMath0702.65095OpenAlexW4246733054MaRDI QIDQ3481195
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2008498
Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Applications to the sciences (65Z05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- On some three-dimensional finite elements for incompressible media
- The finite element method with Lagrangian multipliers
- 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
- Analysis of Some Mixed Finite Element Methods for Plane Elasticity Equations
- Stability of Higher-Order Hood–Taylor Methods
- Stability of Finite Elements under Divergence Constraints
- Finite Element Methods for Navier-Stokes Equations
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- Old and new finite elements for incompressible flows
- Analysis of Mixed Methods Using Mesh Dependent Norms
