Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system

DOI10.1186/s13661-017-0788-7zbMath1360.76148OpenAlexW2606876368WikidataQ59525767 ScholiaQ59525767MaRDI QIDQ525039

Junqiang Gao, Zhen-Dong Luo

Publication date: 27 April 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0788-7

zbMATH Keywords

existence and uniqueness as well as convergenceparameter-free and two local Gauss integralsstabilized mixed finite element modeltwo-dimensional nonlinear incompressible viscoelastic fluid system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation ⋮ On effect of surface tension in the Rayleigh-Taylor problem of stratified viscoelastic fluids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations
• A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem
• A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations
• Global solutions for incompressible viscoelastic fluids
• A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
• Local well-posedness of lower regularity solutions for the incompressible viscoelastic fluid system
• Finite element analysis of compressible viscoplasticity using a three-field formulation. Application to metal powder hot compaction
• A stabilized finite element method for incompressible flow and heat transfer: A natural derivation based on the use of local time-steps
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• A finite element formulation for transient incompressible viscous flows stabilized by local time-steps
• Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit

This page was built for publication: Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system