Approximation of the three-field Stokes system via optimized quadrilateral finite elements

DOI10.1051/m2an/1993270101071zbMath0765.76053OpenAlexW2463499415MaRDI QIDQ4033722

J. H. Carneiro de Araujo, Vitoriano Ruas, M. A. M. Silva Ramos

Publication date: 16 May 1993

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193691

zbMATH Keywords

number of degrees of freedomlinear problembubble tensors

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

A finite element method for the axisymmetric three-field Stokes system with a discontinuous pressure ⋮ Finite element methods for the three-field Stokes system in $\mathbb {R}^3$ : Galerkin methods ⋮ A stable finite element method for the axisymmetric three-field Stokes system ⋮ A new algorithm for simulating viscoelastic flows accommodating piecewise linear finite elements ⋮ Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow ⋮ An optimal three-field finite element approximation of the Stokes system with continuous extra stresses

Cites Work

• On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows
• A new mixed finite element for calculating viscoelastic flow
• A new approach for the FEM simulation of viscoelastic flows
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• An optimal three-field finite element approximation of the Stokes system with continuous extra stresses
• Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
• A Convergent three Field Quadrilateral Finite Element Method for Simulating Viscoelastic Flow on Irregular Meshes
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