Finite element analysis of nonlinear creeping flows

DOI10.1016/0045-7825(90)90096-5zbMath0716.73091OpenAlexW2036260960MaRDI QIDQ753559

João Nisan C. Guerreiro, Abimael Fernando Dourado Loula

Publication date: 1990

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(90)90096-5

zbMATH Keywords

stabilityrates of convergencea priori error estimatesconstrained problemscontinuous velocity interpolationsdiscontinuous stressmixed Petrov- Galerkin formulationsmonotone constitutive lawsNorton-Hoff creep lawsteady-state creep problems

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Dynamical problems in solid mechanics (74H99) Dynamical problems in solid mechanics (74Hxx)

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Cites Work

• Stability of some mixed finite element methods for Stokesian flows
• Mixed Petrov-Galerkin methods for the Timoshenko beam problem
• A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Error-bounds for finite element method
• An improved solution procedure for creep problems
• Perturbation of mixed variational problems. Application to mixed finite element methods
• Finite element methods for constrained problems in elasticity
• Existence et approximation de points selles pour certains problèmes non linéaires
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