Analysis of a defect correction method for viscoelastic fluid flow

DOI10.1016/j.camwa.2004.10.016zbMath1063.76056OpenAlexW2090873023MaRDI QIDQ1770691

Hyesuk Kwon Lee

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.016

zbMATH Keywords

convergenceOldroyd-B fluiderror estimate

Mathematics Subject Classification ID

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

Related Items

Subgrid stabilized defect-correction method for a steady-state natural convection problem ⋮ A new two-level defect-correction method for the steady Navier-Stokes equations ⋮ Parallel defect-correction algorithms based on finite element discretization for the Navier-Stokes equations ⋮ A defect-correction method for time-dependent viscoelastic fluid flow based on SUPG formulation ⋮ Defect correction method for time-dependent viscoelastic fluid flow ⋮ A posteriori error estimation for a defect correction method applied to conduction convection problems ⋮ Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping ⋮ A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow ⋮ Computation of viscoelastic fluid flows using continuation methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the high Weissenberg number problem
• A new mixed finite element for calculating viscoelastic flow
• Impact of the constitutive equation and singularity on the calculation of stick-slip flow: The modified upper-convected Maxwell model (MUCM)
• A new approach for the FEM simulation of viscoelastic flows
• Numerical instability of time-dependent flows
• Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds
• Solution algorithms for incompressible viscous flows at high Reynolds numbers
• On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations
• Mixed finite element methods for viscoelastic flow analysis: A review
• A defect-correction method for the incompressible Navier-Stokes equations.
• Existence of Slow Steady Flows of Viscoelastic Fluids with Differential Constitutive Equations
• Finite Element Methods for Navier-Stokes Equations
• An Analysis of a Defect-Correction Method for a Model Convection-Diffusion Equation
• Finite Element Approximation of Viscoelastic Fluid Flow: Existence of Approximate Solutions and Error Bounds. Continuous Approximation of the Stress