Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
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Publication:960007
DOI10.1007/s10444-007-9054-3zbMath1180.65140OpenAlexW2043050905MaRDI QIDQ960007
Publication date: 16 December 2008
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-007-9054-3
Boundary value problems for second-order elliptic equations (35J25) 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)
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Cites Work
- Unnamed Item
- Unnamed Item
- A stable finite element for the Stokes equations
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Optimal low order finite element methods for incompressible flow
- The finite element method with Lagrangian multipliers
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Simple nonconforming quadrilateral Stokes element
- Mixed and Hybrid Finite Element Methods
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Global Superconvergence for the Bilinear-Constant Scheme for the Stokes Problem
- P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
- Superconvergence of nonconforming finite element method for the Stokes equations
- Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- Analysis of a class of nonconforming finite elements for crystalline microstructures
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