On solenoidal high-degree polynomial approximations to solutions of the stationary Navier-Stokes equations.

DOI10.1016/j.cam.2003.11.011zbMath1042.35053OpenAlexW1974464869MaRDI QIDQ1426810

Howard Swann

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.11.011

zbMATH Keywords

Finite element methodsHybrid methodsCell discretizationMortar element methodSolenoidal polynomial basisStationary Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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)

Cites Work

• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• Numerical solution of the incompressible Navier-Stokes equations
• On approximating the solution of the non-stationary Stokes equations using the cell discretization algorithm
• Error estimates using the cell discretization method for some parabolic problems
• The Cell Discretization Algorithm for Elliptic Partial Differential Equations
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
• On the Use of Lagrange Multipliers in Domain Decomposition for Solving Elliptic Problems
• On the Convergence Rate of the Cell Discretization Algorithm for Solving Elliptic Problems
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