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Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law

Sébastien Boyaval , Sofiane Martel , Julien Reygner
IMA Journal of Numerical Analysis, 2022, 42 (3), pp.2710-2770. ⟨10.1093/imanum/drab049⟩
Journal articles hal-02291253v3
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Emmanuel Audusse , Sébastien Boyaval , Yueyuan Gao , Danielle Hilhorst
48, pp.308-320, 2015, ESAIM: Proceedings and Surveys
Books hal-00962213v2
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Viscoelastic flows of Maxwell fluids with conservation laws

Sébastien Boyaval
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 55 (3), pp.807-831. ⟨10.1051/m2an/2020076⟩
Journal articles hal-02908379v1

Existence and approximation of a (regularized) Oldroyd-B model

John W. Barrett , Sébastien Boyaval
Mathematical Models and Methods in Applied Sciences, 2011, 21 (9), pp.1783-1837. ⟨10.1142/S0218202511005581⟩
Journal articles hal-00409594v1
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Non-isothermal viscoelastic flows with conservation laws and relaxation

Sébastien Boyaval , Mark Dostalík
Preprints, Working Papers, ... hal-03206116v1
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Johnson-Segalman – Saint-Venant equations for viscoelastic shallow flows in the elastic limit

Sébastien Boyaval
XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications (Hyp2016), Aug 2016, Aachen, Germany
Conference papers hal-01402628v1
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A new model for shallow viscoelastic fluids

François Bouchut , Sébastien Boyaval
Mathematical Models and Methods in Applied Sciences, 2013, 23 (8), pp.1479-1526. ⟨10.1142/S0218202513500140⟩
Journal articles hal-00628651v2
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An application of the Reduced-Basis Method for Darcy flows

Riad Sanchez , Sébastien Boyaval , Guillaume Enchéry , Quang Huy Tran
Recent Developments in Numerical Methodes for Model Reduction, Nov 2016, Paris, France
Poster communications hal-01901973v1

A Variance Reduction Method for Parametrized Stochastic Differential Equations using the Reduced Basis Paradigm

Sébastien Boyaval , Tony Lelièvre
Communications in Mathematical Sciences, 2010, 8 (3), pp.735-762. ⟨10.4310/CMS.2010.v8.n3.a7⟩
Journal articles hal-00402702v1
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A fast Monte-Carlo method with a Reduced Basis of Control Variates applied to Uncertainty Propagation and Bayesian Estimation

Sébastien Boyaval
Computer Methods in Applied Mechanics and Engineering, 2012, 241-244, pp.190-205. ⟨10.1016/j.cma.2012.05.003⟩
Journal articles hal-00666264v1
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Mathematical modelling and numerical simulation in materials science

Sébastien Boyaval
General Mathematics [math.GM]. Université Paris-Est, 2009. English. ⟨NNT : 2009PEST1040⟩
Theses tel-00499254v1
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Reduced-Basis approach for homogenization beyond the periodic setting

Sébastien Boyaval
[Research Report] RR-6130, INRIA. 2007, pp.29
Reports inria-00132763v3
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A new model for shallow viscoelastic free-surface flows forced by gravity on rough inclined bottom

Sébastien Boyaval
ESAIM: Proceedings, 2014, 45, pp.108 - 117
Journal articles hal-01077067v1
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On the Modeling and Simulation of Non-Hydrostatic Dam Break Flows

Alexandre Caboussat , Sébastien Boyaval , Alexandre Masserey
Computing and Visualization in Science, 2011, 14 (8), pp.401-417. ⟨10.1007/s00791-013-0190-7⟩
Journal articles hal-00808087v1

A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows

Sébastien Boyaval , Alexandre Caboussat , Arwa Mrad , Marco Picasso , Gilles Steiner
Computers and Fluids, 2018, 172, pp.384-396. ⟨10.1016/j.compfluid.2018.04.002⟩
Journal articles hal-01940147v1
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Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids

François Bouchut , Sébastien Boyaval
European Journal of Mechanics - B/Fluids, 2016, 55 (1), pp.116-131. ⟨10.1016/j.euromechflu.2015.09.003⟩
Journal articles hal-00833468v2
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Numerical Simulation of the Dynamics of Sedimentary River Beds with a Stochastic Exner Equation

Emmanuel Audusse , Sébastien Boyaval , Nicole Goutal , Magali Jodeau , Philippe Ung
ESAIM: Proceedings and Surveys, 2015, 48, pp.321 - 340. ⟨10.1051/proc/201448015⟩
Journal articles hal-01102335v1
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A posteriori analysis of Chorin-Temam scheme for Stokes equations

Sébastien Boyaval , M. Picasso
Comptes Rendus. Mathématique, 2013, 351 (23-24), pp.931-936. ⟨10.1016/j.crma.2013.10.026⟩
Journal articles hal-00876069v1
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About the structural stability of Maxwell fluids: convergence toward elastodynamics

Sébastien Boyaval
Preprints, Working Papers, ... hal-03899611v1

Reduced basis techniques for stochastic problems

Sébastien Boyaval , Claude Le Bris , Tony Lelièvre , Yvon Maday , Ngoc Cuong Nguyen , et al.
Archives of Computational Methods in Engineering, 2010, 17 (4), pp.435-454. ⟨10.1007/s11831-010-9056-z⟩
Journal articles hal-00470522v1
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Polynomial Surrogates for Open-Channel Flows in Random Steady State

Nabil El Moçayd , Sophie Ricci , Nicole Goutal , Mélanie C. Rochoux , Sébastien Boyaval , et al.
Environmental Modeling & Assessment, 2017, ⟨10.1007/s10666-017-9582-2⟩
Journal articles hal-01763259v1
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Free-energy-dissipative schemes for the Oldroyd-B model

Sébastien Boyaval , Tony Lelièvre , Claude Mangoubi
[Research Report] RR-6413, INRIA. 2008, pp.53
Reports inria-00204620v2
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Viscoelastic flows with conservation laws

Sébastien Boyaval
Preprints, Working Papers, ... hal-02262298v1
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A viscoelastic flow model of maxwell-type with a symmetric-hyperbolic formulation

Sébastien Boyaval
Preprints, Working Papers, ... hal-03880001v1
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Uncertainty quantification in a two-dimensional river hydraulic model

Siham El Garroussi , Matthias de Lozzo , Sophie Ricci , Didier Lucor , Nicole Goutal , et al.
International Conference on Uncertainty Quantification in Computational Sciences and Engineering, M. Papadrakakis, V. Papadopoulos, G. Stefanou, Jun 2019, Crete, Greece
Conference papers hal-02397318v1
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A Finite-Volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids

Sébastien Boyaval
Clément Cancès; Pascal Omnes. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, 200, Springer, pp.163-170, 2017, Print ISBN : 978-3-319-57393-9 / online : 978-3-319-57394-6. ⟨10.1007/978-3-319-57394-6_18⟩
Book sections hal-01433712v1
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Finite element approximation of the FENE-P model

John W Barrett , Sébastien Boyaval
IMA Journal of Numerical Analysis, 2017, ⟨10.1093/imanum/drx061⟩
Journal articles hal-01501197v1

Numerical simulation of 3D free surface flows, with multipleincompressible immiscible phases. Applications to impulse waves

Nicolas James , Alexandre Caboussat , Sébastien Boyaval , M. Picasso
International Journal for Numerical Methods in Fluids, 2014, pp.00:1-24. ⟨10.1002/fld.3967⟩
Journal articles istex hal-01074886v1
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Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation

Mark Kaercher , Sébastien Boyaval , Martin Grepl , Karen Veroy
Optimization and Engineering, 2018, 2018 (3), ⟨10.1007/s11081-018-9389-2⟩
Journal articles hal-01556304v1
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Derivation and numerical approximation of hyperbolic viscoelastic flow systems: Saint-Venant 2D equations for Maxwell fluids

Sébastien Boyaval
Preprints, Working Papers, ... hal-01661269v1