Semidiscrete Galerkin method for equations of motion arising in Kelvin‐Voigt model of viscoelastic fluid flow

DOI10.1002/num.21735zbMath1266.76028OpenAlexW2171985348MaRDI QIDQ4929260

Neela Nataraj, Amiya K. Pani, Pedro D. Damázio, Saumya Bajpai, Jin Yun Yuan

Publication date: 13 June 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21735

zbMATH Keywords

viscoelastic fluidsa priori boundsoptimal error estimatesfinite element approximationssemidiscrete Galerkin methodKelvin-Voigt modelexponential decay property

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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 (16)

Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model ⋮ Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model ⋮ Fully discrete second-order backward difference method for Kelvin-Voigt fluid flow model ⋮ On a two-grid finite element scheme combined with Crank-Nicolson method for the equations of motion arising in the Kelvin-Voigt model ⋮ Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model ⋮ Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model ⋮ Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry ⋮ On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model ⋮ The Euler implicit/explicit FEM for the Kelvin-Voigt model based on the scalar auxiliary variable (SAV) approach ⋮ A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model ⋮ Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model ⋮ Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique ⋮ Finite element methods: research in India over the last decade ⋮ Stabilization of Kelvin–Voigt viscoelastic fluid flow model ⋮ A fully discrete finite element scheme for the Kelvin-Voigt model ⋮ A weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model

Cites Work

• Unnamed Item
• On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization
• Fully discrete finite element method for the viscoelastic fluid motion equations
• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• Nonlocal problems in the theory of equations of motion of Kelvin-Voigt fluids. II
• On an estimate, uniform on the semiaxis \(t\geq 0\), for the rate of convergence of Galerkin approximations for the equations of motion of Kelvin-Voigt fluids
• Finite element approximation for the viscoelastic fluid motion problem
• Towards a theory of global solvability on \([0,\infty)\) for initial-boundary value problems for the equations of motion of Oldroyd and Kelvin-Voigt fluids
• Theory of nonstationary flows of Kelvin-Voigt fluids
• Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data
• On error estimates of the fully discrete penalty method for the viscoelastic flow problem
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• A viscoelastic fluid model for brain injuries
• On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One
• Semidiscrete finite element Galerkin approximations to the equations of motion arising in the Oldroyd model

This page was built for publication: Semidiscrete Galerkin method for equations of motion arising in Kelvin‐Voigt model of viscoelastic fluid flow