On the convergence of incompressible finite element formulations

DOI10.1108/02644400110387145zbMath1005.74065OpenAlexW1552169727WikidataQ126266631 ScholiaQ126266631MaRDI QIDQ2739093

E. N. Dvorkin

Publication date: 19 February 2003

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400110387145

zbMATH Keywords

stabilityconvergencefinite elementslockingcontinuum mechanicspatch testinf-sup condtion

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

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Cites Work

• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• The finite element patch test revisited. A computer test for convergence, validation and error estimates
• The finite element method with Lagrangian multipliers
• On the control of pressure oscillation in bilinear-displacement constant-pressure element
• The inf-sup test
• Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions
• The discrete Babu?ka-Brezzi condition
• A formulation of general shell elements—the use of mixed interpolation of tensorial components
• The patch test—a condition for assessing FEM convergence
• The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
• The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
• The patch test for mixed formulations