Penalty finite element method for the Navier-Stokes equations

DOI10.1016/0045-7825(84)90025-2zbMath0518.76023OpenAlexW2037768520MaRDI QIDQ1054203

J. Blot

Publication date: 1984

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(84)90025-2

zbMATH Keywords

stabilityexistencepenalty formulationrates of convergencestationaryunique solutionprescribed body force

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Basic methods in fluid mechanics (76M99)

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Cites Work

• Finite element approximation of the Navier-Stokes equations
• Convergence of iterative methods in penalty finite element approximation of the Navier-Stokes equations
• Penalty approximation of Stokes flow
• Penalty-finite element methods for the analysis of Stokesian flows
• A finite element for the numerical solution of viscous incompressible flows
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
• On penalty function methods in the finite-element analysis of flow problems
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