Edit Profile (opens in new tab) Boyaval, Sébastien Co-Author Distance Author ID: boyaval.sebastien Published as: Boyaval, Sébastien; Boyaval, S. External Links: MGP Documents Indexed: 32 Publications since 2008, including 5 Additional arXiv Preprints Reviewing Activity: 28 Reviews Co-Authors: 30 Co-Authors with 20 Joint Publications 900 Co-Co-Authors all top 5 Co-Authors 12 single-authored 3 Barrett, John William 3 Bouchut, François 3 Lelièvre, Tony 2 Audusse, Emmanuel 2 Caboussat, Alexandre 2 Le Bris, Claude 2 Maday, Yvon 2 Nguyen, Ngoc Cuong 2 Patera, Anthony T. 2 Picasso, Marco 1 Aghili, Joubine 1 Di Pietro, Daniele Antonio 1 Dostalík, Mark 1 Enchéry, Guillaume 1 Gao, Yueyuan 1 Goutal, Nicole 1 Grepl, Martin A. 1 Hilhorst, Danielle 1 Jodeau, Magali 1 Kärcher, Mark 1 Mangoubi, Claude 1 Martel, Sofiane 1 Masserey, Alexandre 1 Mrad, Arwa 1 Reygner, Julien 1 Sanchez, Riad 1 Steiner, Gilles 1 Tran, Quang Huy 1 Ung, Philippe 1 Veroy, Karen all top 5 Serials 3 IMA Journal of Numerical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Computer Methods in Applied Mechanics and Engineering 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computers and Fluids 1 Computing and Visualization in Science 1 European Journal of Mechanics. B. Fluids 1 Optimization and Engineering 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations all top 5 Fields 18 Fluid mechanics (76-XX) 17 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 290 times in 232 Documents Cited by ▼ Year ▼ Reduced basis techniques for stochastic problems. Zbl 1269.65005 Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 60 2010 Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358 Boyaval, Sébastien 35 2008 Existence and approximation of a (regularized) Oldroyd-B model. Zbl 1256.35048 Barrett, John W.; Boyaval, Sébastien 33 2011 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013 Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 31 2009 Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038 Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A. 25 2015 Free-energy-dissipative schemes for the Oldroyd-B model. Zbl 1167.76018 Boyaval, Sébastien; Lelièvre, Tony; Mangoubi, Claude 20 2009 A new model for shallow viscoelastic fluids. Zbl 1383.76031 Bouchut, François; Boyaval, Sébastien 20 2013 Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation. Zbl 1507.49026 Kärcher, Mark; Boyaval, Sébastien; Grepl, Martin A.; Veroy, Karen 15 2018 A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Zbl 1213.65016 Boyaval, Sébastien; Lelièvre, Tony 13 2010 A fast Monte-Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation. Zbl 1354.65010 Boyaval, Sébastien 13 2012 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020 Bouchut, François; Boyaval, Sébastien 5 2016 Finite element approximation of the FENE-P model. Zbl 1459.65179 Barrett, John W.; Boyaval, Sébastien 4 2018 Numerical simulations of the inviscid Burgers equation with periodic boundary conditions and stochastic forcing. Zbl 1334.35445 Audusse, Emmanuel; Boyaval, Sébastien; Gao, Yueyuan; Hilhorst, Danielle 2 2015 Numerical simulation of the dynamics of sedimentary river beds with a stochastic Exner equation. Zbl 1338.86004 Audusse, Emmanuel; Boyaval, Sébastien; Goutal, Nicole; Jodeau, Magali; Ung, Philippe 2 2015 A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows. Zbl 1410.76157 Boyaval, Sébastien; Caboussat, Alexandre; Mrad, Arwa; Picasso, Marco; Steiner, Gilles 2 2018 On the modeling and simulation of non-hydrostatic dam break flows. Zbl 1358.76037 Caboussat, Alexandre; Boyaval, Sébastien; Masserey, Alexandre 2 2011 Viscoelastic flows of Maxwell fluids with conservation laws. Zbl 1485.76009 Boyaval, Sébastien 2 2021 Lid-driven-cavity simulations of Oldroyd-B models using free-energy-dissipative schemes. Zbl 1311.76047 Boyaval, Sébastien 1 2010 A new model for shallow viscoelastic free-surface flows forced by gravity on rough inclined bottom. Zbl 1334.76005 Boyaval, Sébastien 1 2014 A finite-volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids. Zbl 1366.76059 Boyaval, Sébastien 1 2017 A posteriori analysis of the Chorin-Temam scheme for Stokes equations. (Analyse a posteriori du schéma Chorin-Temam pour les équations de Stokes.) Zbl 1329.76068 Boyaval, Sébastien; Picasso, Marco 1 2013 Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law. Zbl 07563207 Boyaval, Sébastien; Martel, Sofiane; Reygner, Julien 1 2022 Corrigendum to: “Finite element approximation of the FENE-P model”. Zbl 1459.65180 Barrett, John W.; Boyaval, Sébastien 1 2018 Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law. Zbl 07563207 Boyaval, Sébastien; Martel, Sofiane; Reygner, Julien 1 2022 Viscoelastic flows of Maxwell fluids with conservation laws. Zbl 1485.76009 Boyaval, Sébastien 2 2021 Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation. Zbl 1507.49026 Kärcher, Mark; Boyaval, Sébastien; Grepl, Martin A.; Veroy, Karen 15 2018 Finite element approximation of the FENE-P model. Zbl 1459.65179 Barrett, John W.; Boyaval, Sébastien 4 2018 A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows. Zbl 1410.76157 Boyaval, Sébastien; Caboussat, Alexandre; Mrad, Arwa; Picasso, Marco; Steiner, Gilles 2 2018 Corrigendum to: “Finite element approximation of the FENE-P model”. Zbl 1459.65180 Barrett, John W.; Boyaval, Sébastien 1 2018 A finite-volume discretization of viscoelastic Saint-Venant equations for FENE-P fluids. Zbl 1366.76059 Boyaval, Sébastien 1 2017 Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020 Bouchut, François; Boyaval, Sébastien 5 2016 Hybridization of mixed high-order methods on general meshes and application to the Stokes equations. Zbl 1311.76038 Aghili, Joubine; Boyaval, Sébastien; Di Pietro, Daniele A. 25 2015 Numerical simulations of the inviscid Burgers equation with periodic boundary conditions and stochastic forcing. Zbl 1334.35445 Audusse, Emmanuel; Boyaval, Sébastien; Gao, Yueyuan; Hilhorst, Danielle 2 2015 Numerical simulation of the dynamics of sedimentary river beds with a stochastic Exner equation. Zbl 1338.86004 Audusse, Emmanuel; Boyaval, Sébastien; Goutal, Nicole; Jodeau, Magali; Ung, Philippe 2 2015 A new model for shallow viscoelastic free-surface flows forced by gravity on rough inclined bottom. Zbl 1334.76005 Boyaval, Sébastien 1 2014 A new model for shallow viscoelastic fluids. Zbl 1383.76031 Bouchut, François; Boyaval, Sébastien 20 2013 A posteriori analysis of the Chorin-Temam scheme for Stokes equations. (Analyse a posteriori du schéma Chorin-Temam pour les équations de Stokes.) Zbl 1329.76068 Boyaval, Sébastien; Picasso, Marco 1 2013 A fast Monte-Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation. Zbl 1354.65010 Boyaval, Sébastien 13 2012 Existence and approximation of a (regularized) Oldroyd-B model. Zbl 1256.35048 Barrett, John W.; Boyaval, Sébastien 33 2011 On the modeling and simulation of non-hydrostatic dam break flows. Zbl 1358.76037 Caboussat, Alexandre; Boyaval, Sébastien; Masserey, Alexandre 2 2011 Reduced basis techniques for stochastic problems. Zbl 1269.65005 Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 60 2010 A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Zbl 1213.65016 Boyaval, Sébastien; Lelièvre, Tony 13 2010 Lid-driven-cavity simulations of Oldroyd-B models using free-energy-dissipative schemes. Zbl 1311.76047 Boyaval, Sébastien 1 2010 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013 Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 31 2009 Free-energy-dissipative schemes for the Oldroyd-B model. Zbl 1167.76018 Boyaval, Sébastien; Lelièvre, Tony; Mangoubi, Claude 20 2009 Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358 Boyaval, Sébastien 35 2008 all cited Publications top 5 cited Publications all top 5 Cited by 427 Authors 17 Di Pietro, Daniele Antonio 12 Boyaval, Sébastien 9 Süli, Endre E. 8 Chen, Peng 7 Bouchut, François 7 Le Bris, Claude 7 Nguyen, Ngoc Cuong 6 Abdulle, Assyr 6 Barrett, John William 6 Quarteroni, Alfio M. 5 Botti, Lorenzo 5 Málek, Josef 5 Nouy, Anthony 4 Bai, Yun 4 Bulíček, Miroslav 4 Chamoin, Ludovic 4 Ern, Alexandre 4 Garcke, Harald 4 Hou, Thomas Yizhao 4 Lelièvre, Tony 4 Lhébrard, Xavier 4 Liao, Qifeng 4 Lukáčová-Medviďová, Mária 4 Rozza, Gianluigi 4 Wen, Huanyao 4 Willcox, Karen E. 3 Davit, Yohan 3 Droniou, Jérôme 3 Efendiev, Yalchin R. 3 Ekre, Fredrik 3 Galvis, Juan 3 Grepl, Martin A. 3 Gunzburger, Max D. 3 Haasdonk, Bernard 3 Larsson, Fredrik 3 Latché, Jean-Claude 3 Lin, Guang 3 Maday, Yvon 3 Mizerová, Hana 3 Mokhtari, Omar 3 Navon, Ionel Michael 3 Patera, Anthony T. 3 Peherstorfer, Benjamin 3 Prudhomme, Serge 3 Quintard, Michel 3 Runesson, Kenneth 3 Soize, Christian 3 Steinmann, Paul 2 Aghili, Joubine 2 Antonietti, Paola Francesca 2 Ayoul-Guilmard, Quentin 2 Bachini, Elena 2 Binétruy, Christophe 2 Botti, Michele 2 Brull, Stephane 2 Caboussat, Alexandre 2 Chave, Florent 2 Cheng, Mulin 2 Chupin, Laurent 2 Fang, Fangxin 2 Fernández-Nieto, Enrique Domingo 2 Formaggia, Luca 2 Ghattas, Omar N. 2 Giles, Michael B. 2 Gloria, Antoine 2 Gong, Yuezheng 2 Hong, Qi 2 Jänicke, Ralf 2 Juajibioy, Juan Carlos 2 Keil, Tim 2 Kergrene, Kenan 2 Krell, Stella 2 Ladevèze, Pierre 2 Laforest, Marc 2 Lee, Youngju 2 Liu, Sili 2 Lu, Yong 2 Mangeney, Anne 2 Mascotto, Lorenzo 2 Müller, Siegfried 2 Narbona-Reina, Gladys 2 Nečasová, Šárka 2 Ohlberger, Mario 2 Picasso, Marco 2 Pivovarov, Dmytro 2 Průša, Vít 2 Putti, Mario 2 Redeker, Magnus 2 Schwab, Christoph 2 Trautwein, Dennis 2 Veroy, Karen 2 Vidal-Codina, F. 2 Wang, Wenjun 2 Wang, Yuepeng 2 Willner, Kai 2 Zhang, Zhiwen 2 Zonca, Stefano 1 Abels, Helmut 1 Abreu, Eduardo 1 Adhikari, Sondipon ...and 327 more Authors all top 5 Cited in 74 Serials 37 Computer Methods in Applied Mechanics and Engineering 28 Journal of Computational Physics 12 Journal of Scientific Computing 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Differential Equations 6 SIAM Journal on Scientific Computing 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Mathematical Analysis 5 SIAM/ASA Journal on Uncertainty Quantification 4 International Journal for Numerical Methods in Engineering 4 Computational Mechanics 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Advances in Computational Mathematics 3 European Journal of Mechanics. B. Fluids 3 Archives of Computational Methods in Engineering 3 Journal of Numerical Mathematics 2 Computers and Fluids 2 Journal of Fluid Mechanics 2 Applied Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Journal of Mathematical Fluid Mechanics 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 Oberwolfach Reports 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 GEM - International Journal on Geomathematics 2 Communications on Applied Mathematics and Computation 1 Archive for Rational Mechanics and Analysis 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Automatica 1 Mathematics and Computers in Simulation 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Chinese Annals of Mathematics. Series B 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Computational and Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Optimization and Engineering 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Hyperbolic Differential Equations 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Journal of Mathematics in Industry 1 ISRN Applied Mathematics 1 Journal of Computational Dynamics 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics 1 Journal of Computational Physics: X all top 5 Cited in 23 Fields 165 Numerical analysis (65-XX) 111 Partial differential equations (35-XX) 104 Fluid mechanics (76-XX) 47 Mechanics of deformable solids (74-XX) 26 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Systems theory; control (93-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Approximations and expansions (41-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year