Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model

DOI10.1016/j.cam.2016.01.037zbMath1381.76194arXiv1511.08947OpenAlexW2254739389MaRDI QIDQ268337

Amiya K. Pani, Saumya Bajpai, Ambit Kumar Pany

Publication date: 14 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08947

zbMATH Keywords

global attractoroptimal error estimates\textit{a priori} boundsKelvin-Voigt viscoelastic modelsemidiscrete Galerkin approximationuniqueness condition

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (14)

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 ⋮ Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model ⋮ Completely discrete schemes for 2D Sobolev equations with Burgers' type nonlinearity ⋮ Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid 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 ⋮ Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers' type nonlinearity ⋮ Stabilization of Kelvin–Voigt viscoelastic fluid flow model ⋮ A new energy-stable nonconforming finite element method for Sobolev equation with Burgers' type nonlinearity ⋮ Regularity of uniform attractor for 3D non-autonomous Navier-Stokes-Voigt equation ⋮ 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

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