79 citations · 162 across the 15 of their papers we have counts for
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math.NA2017★ 2 cited
Derivation and numerical approximation of hyperbolic viscoelastic flow systems: Saint-Venant 2D equations for Maxwell fluids
Sébastien Boyaval
We pursue here the development of models for complex (viscoelastic) fluids in shallow free-surface gravity flows which was initiated by [Bouchut-Boyaval, M3AS (23) 2013] for 1D (tr…
math.NA2017
Finite Element Approximation of the FENE-P Model
John Barrett, Sébastien Boyaval
We extend our analysis on the Oldroyd-B model in Barrett and Boyaval [1] to consider the finite element approximation of the FENE-P system of equations, which models a dilute polym…
math.NA2017
A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids
Sébastien Boyaval
Saint-Venant equations can be generalized to account for a viscoelastic rheology in shallow flows. A Finite-Volume discretization for the 1D Saint-Venant system generalized to Uppe…