Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme

DOI10.1051/m2an/2016078zbMath1421.76159arXiv1603.01339OpenAlexW2290519414MaRDI QIDQ4602358

Masahisa Tabata, Hana Mizerová, Hirofumi Notsu, Mária Lukáčová-Medvid'ová

Publication date: 10 January 2018

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01339

zbMATH Keywords

error estimatespressure-stabilizationLagrange-Galerkin methodPeterlin viscoelastic model

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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