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Positive-definiteness preserving and energy stable time-marching scheme for a diffusive Oldroyd-B electrohydrodynamic model
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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
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Finite Amplitude Stability of Internal Steady Flows of the Giesekus Viscoelastic Rate-Type Fluid
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme
Mária Lukáčová–Medvid’ová, Hana Mizerová, Hirofumi Notsu and Masahisa Tabata ESAIM: Mathematical Modelling and Numerical Analysis 51(5) 1663 (2017) https://doi.org/10.1051/m2an/2017032
Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part I: A nonlinear scheme
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A stable and scalable hybrid solver for rate-type non-Newtonian fluid models
Error analysis of finite element and finite volume methods for some viscoelastic fluids
Mária Lukáčová-Medvid’ová, Hana Mizerová, Bangwei She and Jan Stebel Journal of Numerical Mathematics 24(2) (2016) https://doi.org/10.1515/jnma-2014-0057
The fully-implicit log-conformation formulation and its application to three-dimensional flows
MATHEMATICAL ANALYSIS OF A ONE-DIMENSIONAL MODEL FOR AN AGING FLUID
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Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics