Error analysis of finite element and finite volume methods for some viscoelastic fluids

DOI10.1515/jnma-2014-0057zbMath1338.76059OpenAlexW2425445508MaRDI QIDQ299011

Jan Stebel, Hana Mizerová, Bangwei She, Mária Lukáčová-Medvid'ová

Publication date: 22 June 2016

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2014-0057

zbMATH Keywords

finite element methodfinite difference methodfinite volume methodviscoelastic fluidserror analysishigh Weissenberg numbermultiplicative trace inequalityOldroyd-B type models

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) 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) Incompressible viscous fluids (76Dxx)

Related Items (3)

Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model ⋮ A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time ⋮ Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem

Cites Work

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