On error estimates of the fully discrete penalty method for the viscoelastic flow problem

DOI10.1080/00207160.2010.534781zbMath1266.76032OpenAlexW2132244895MaRDI QIDQ3101615

Kun Wang, Xinlong Feng, Yin-Nian He

Publication date: 29 November 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.534781

zbMATH Keywords

Oldroyd modeloptimal error estimatebackward Euler scheme

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 (9)

Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model ⋮ Finite element penalty method for the Oldroyd model of order one with non-smooth initial data ⋮ Fully discrete second-order backward difference method for Kelvin-Voigt fluid flow model ⋮ Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule ⋮ Stabilized finite element method for the viscoelastic Oldroyd fluid flows ⋮ On a three step two‐grid finite element method for the Oldroyd model of order one ⋮ Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems ⋮ Semidiscrete Galerkin method for equations of motion arising in Kelvin‐Voigt model of viscoelastic fluid flow ⋮ Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one

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