A variational finite element method for the two-dimensional Stokes problem

DOI10.1016/0045-7825(93)90003-GzbMath0845.76050OpenAlexW1982305401MaRDI QIDQ1912138

Yanyan Li

Publication date: 6 May 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90003-g

zbMATH Keywords

Dirichlet problempotential theoryconjugate gradient methodsquare cavitybiharmonic operatordiscrete problemcontinuous problemstream function-vorticity variables

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Vorticity boundary conditions for Navier-Stokes equations, A variational spectral method for the two-dimensional Stokes problem, A review of vorticity conditions in the numerical solution of the \(\zeta-\psi\) equations

Cites Work

• A potential method for the biharmonic equation
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$
• Une méthode variationnelle d’éléments finis pour la résolution numérique d’un problème extérieur dans $\mathbf {R}^3$
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