On the discrete EVSS method

DOI10.1016/S0045-7825(99)00292-3zbMath0980.76044OpenAlexW2013619825MaRDI QIDQ1581966

Roger Pierre, Robert Guénette, André Fortin

Publication date: 4 March 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00292-3

zbMATH Keywords

viscoelastic fluidserror analysisstability criteriamixed finite elementsvelocity gradientStokes flowsdiscrete EVSS methodrate of deformation tensoradditional variableelastic-viscous-split-stress methodgeneralized Brezzi-Babuska theorymulti-mode constitutive equations

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (20)

A study on the Galerkin least-squares method for the Oldroyd-B model ⋮ An extended Hu-Washizu formulation for elasticity ⋮ Error estimates for a stabilized finite element method for the Oldroyd B model ⋮ Weighted least-squares finite element methods for the linearized Navier–Stokes equations ⋮ A comparison of four implementations of the log-conformation formulation for viscoelastic fluid flows ⋮ A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems ⋮ A weighted least-squares finite element method for Phan-Thien-Tanner viscoelastic fluid ⋮ Least-squares finite element methods for generalized Newtonian and viscoelastic flows ⋮ Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow ⋮ Adaptive least-squares finite element approximations to Stokes equations ⋮ Numerical approximation of the Oldroyd‐B model by the weighted least‐squares/discontinuous Galerkin method ⋮ A variationally consistent αFEM (VCαFEM) for solution bounds and nearly exact solution to solid mechanics problems using quadrilateral elements ⋮ A nonlinear weighted least-squares finite element method for the Oldroyd-B viscoelastic flow ⋮ A numerical approximation with WLS/SUPG algorithm for solving White-Metzner viscoelastic flows ⋮ Decoupled algorithm for solving Phan-Thien-Tanner viscoelastic fluid by finite element method ⋮ A nonlinear weighted least-squares finite element method for Stokes equations ⋮ A finite element method for a microstructure-based model of blood ⋮ New mixed formulations for problems in elasticity ⋮ Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows ⋮ On a FEM method for a linearized version of the Oldroyd's problem.

Cites Work

• On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows
• A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic fluid flows
• Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity.
• An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid
• On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations
• Numerical analysis of the modified EVSS method
• Experiments with several elements for viscous incompressible flows
• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• Optimal Selection of the Bubble Function in the Stabilization of the P1-P1 Element for the Stokes Problem

This page was built for publication: On the discrete EVSS method