On the convergence of the bilinear-velocity constant-pressure finite element method in viscous flow

DOI10.1016/0045-7825(86)90128-3zbMath0622.76026OpenAlexW2067890936MaRDI QIDQ1091194

Vitoriano Ruas, Le Tallec, Patrick

Publication date: 1986

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(86)90128-3

zbMATH Keywords

finite element methodviscous flowquadrangulationcompletely optimally convergent sequence of approximations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Applications to the sciences (65Z05) Basic methods in fluid mechanics (76M99)

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Cites Work

• Compatibility condition and existence results in discrete finite incompressible elasticity
• A mixed finite element approximation of the Navier-Stokes equations
• Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Stable and Semistable Low Order Finite Elements for Viscous Flows
• Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
• Finite element methods for constrained problems in elasticity