Edit Profile (opens in new tab) Guermond, Jean-Luc Co-Author Distance Author ID: guermond.jean-luc Published as: Guermond, Jean-Luc; Guermond, J.-L.; Guermond, J. L.; Guermond, Jean Luc; Guermond, Jean.-L.; Guermond, Lean-Luc more...less Homepage: https://people.tamu.edu/~guermond/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp Documents Indexed: 179 Publications since 1987, including 5 Books and 3 Additional arXiv Preprints 1 Contribution as Editor Software Indexed: 1 Package Co-Authors: 97 Co-Authors with 155 Joint Publications 2,207 Co-Co-Authors all top 5 Co-Authors 25 single-authored 40 Popov, Boyan 24 Ern, Alexandre 17 Minev, Peter Dimitrov 15 Quartapelle, Luigi 13 Nore, Caroline 7 Léorat, Jacques 7 Pasquetti, Richard 7 Shen, Jie 6 Bonito, Andrea 6 Prudhomme, Serge 6 Tomas, Ignacio 5 Cappanera, Loïc 5 Luddens, Francky 5 Maier, Matthias Sebastian 5 Saavedra, Laura 5 Salgado, Abner J. 5 Tovar, Eric J. 4 Nazarov, Murtazo 4 Sellier, Antoine 4 Yang, Yong 3 Herreman, W. 3 Kanschat, Guido 3 Kees, Chris 3 Laguerre, R. 3 Ragusa, Jean C. 3 Shen, When-Zhong 2 Bejanov, B. 2 Clayton, Bennett 2 Daviaud, François 2 De Luna, Manuel Quezada 2 Dobrev, Veselin A. 2 Dubrulle, Bérengère 2 Faller, Hugues 2 Firdaouss, Mouaouia 2 Gerbeth, Gunter 2 Giesecke, André 2 Huberson, Serge G. 2 Lee, Sanghyun 2 Oden, John Tinsley 2 Stefani, Frank 2 Wang, Zuodong 2 Zhu, Jiang 1 Achdou, Yves 1 Alexandre, Ern 1 Auteri, Franco 1 Azérad, Pascal 1 Bénard, Sophie 1 Bertrand, Fleurianne 1 Boffi, Daniele 1 Caplain, Gilbert 1 Castanon Quiroz, Daniel 1 Chaabo, T. 1 Cheminet, A. 1 Cortis, Andrea 1 Creff, Melvin 1 Cuvier, Christian 1 Daube, Olivier 1 Debue, P. 1 Di Pietro, Daniele Antonio 1 Dong, Zhaonan 1 Düster, Alexander 1 Farthing, Matthew W. 1 Foucaut, Jean-Marc 1 Fraigneau, Yann 1 Geneste, D. 1 Gornak, T. 1 Heuer, Norbert 1 Horstmann, G. M. 1 Iliev, Oleg P. 1 Kees, Christopher E. 1 Kronbichler, Martin 1 Kuzzay, Denis 1 Lafarge, Denis 1 Laval, Jean-Philippe 1 Le Quéré, Patrick 1 Loula, Abimael Fernando Dourado 1 Marpeau, Fabien 1 Marra, Alessandra 1 Migeon, C. 1 Morel, Jim E. 1 Ostovan, Y. 1 Padilla, Vincent 1 Parolini, Nicola 1 Pasciak, Joseph E. 1 Pineau, G. 1 Plunian, Franck 1 Rachowicz, Waldemar 1 Saw, Ewe-Wei 1 Smeulders, David M. J. 1 Thompson, Travis B. 1 Tomov, Vladimir Z. 1 Valori, Valentina 1 Weber, Norbert 1 Wiertel-Gasquet, C. 1 Wiertel, Cecile 1 Yang, Xiaofeng 1 Zingan, Valentin all top 5 Serials 20 SIAM Journal on Numerical Analysis 18 Journal of Computational Physics 12 Computer Methods in Applied Mechanics and Engineering 9 Journal of Fluid Mechanics 9 SIAM Journal on Scientific Computing 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 International Journal for Numerical Methods in Fluids 5 Mathematics of Computation 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Journal of Scientific Computing 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Comptes Rendus de l’Académie des Sciences. Série II 3 Numerische Mathematik 3 Numerical Methods for Partial Differential Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Texts in Applied Mathematics 2 Computers & Mathematics with Applications 2 Geophysical and Astrophysical Fluid Dynamics 2 IMA Journal of Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Physica D 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Communications in Numerical Methods in Engineering 2 Journal of Mathematical Fluid Mechanics 2 European Journal of Mechanics. B. Fluids 2 Computational Methods in Applied Mathematics 2 Communications in Mathematical Sciences 2 International Journal of Numerical Analysis and Modeling 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 International Journal for Numerical Methods in Engineering 1 European Journal of Mechanics. B. Fluids 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Physics of Fluids 1 Computing and Visualization in Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of Hyperbolic Differential Equations 1 Applied Mathematical Sciences 1 Mathématiques & Applications (Berlin) 1 International Journal of Numerical Analysis and Modeling. Series B 1 Communications on Applied Mathematics and Computation 1 Water Waves all top 5 Fields 116 Numerical analysis (65-XX) 107 Fluid mechanics (76-XX) 90 Partial differential equations (35-XX) 11 Optics, electromagnetic theory (78-XX) 8 Approximations and expansions (41-XX) 6 Operator theory (47-XX) 4 Functional analysis (46-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 5,548 times in 3,556 Documents Cited by ▼ Year ▼ Theory and practice of finite elements. Zbl 1059.65103 Ern, Alexandre; Guermond, Jean-Luc 1,134 2004 An overview of projection methods for incompressible flows. Zbl 1122.76072 Guermond, J. L.; Minev, P.; Shen, Jie 617 2006 Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 168 2011 A projection FEM for variable-density incompressible flows. Zbl 0994.76051 Guermond, J.-L.; Quartapelle, L. 161 2000 On the error estimates for the rotational pressure-correction projection methods. Zbl 1093.76050 Guermond, J. L.; Shen, Jie 149 2004 Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112 Guermond, Jean-Luc 148 1999 Velocity-correction projection methods for incompressible flows. Zbl 1130.76395 Guermond, J. L.; Shen, Jie 135 2003 A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028 Guermond, J.-L.; Salgado, Abner 115 2009 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 99 2017 Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111 Ern, A.; Guermond, J.-L. 98 2006 On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Zbl 0914.76051 Guermond, J.-L.; Quartapelle, L. 95 1998 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 89 2021 A new class of truly consistent splitting schemes for incompressible flows. Zbl 1032.76529 Guermond, J. L.; Shen, Jie 89 2003 On stability and convergence of projection methods based on pressure Poisson equation. Zbl 0912.76054 Guermond, J.-L.; Quartapelle, L. 86 1998 Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050 Guermond, Jean-Luc; Popov, Bojan 77 2016 Second-order invariant domain preserving approximation of the Euler equations using convex limiting. Zbl 1402.65110 Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Tomas, Ignacio 67 2018 Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. Zbl 0966.76041 Achdou, Y.; Guermond, J.-L. 63 2000 Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147 Guermond, Jean-Luc; Popov, Bojan 60 2014 Error analysis of pressure-correction schemes for the time-dependent Stokes equations with open boundary conditions. Zbl 1083.76044 Guermond, J. L.; Minev, P.; Shen, J. 59 2005 Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130 Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky 56 2013 Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030 Guermond, J.-L.; Oden, J. T.; Prudhomme, S. 52 2004 Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318 Guermond, J.-L.; Salgado, Abner J. 51 2011 Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136 Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio 51 2019 A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1302.65225 Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Yang, Yong 51 2014 Calculation of incompressible viscous flows by an unconditionally stable projection FEM. Zbl 0879.76050 Guermond, J.-L.; Quartapelle, L. 43 1997 Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036 Guermond, J.-L.; Marra, A.; Quartapelle, L. 43 2006 Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032 Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc 42 2008 Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079 Guermond, Jean-Luc; Pasquetti, Richard 42 2008 Some implementations of projection methods for Navier-Stokes equations. Zbl 0861.76065 Guermond, Jean-Luc 40 1996 Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109 Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan 40 2013 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 39 2020 Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. Zbl 1349.76769 Guermond, Jean-Luc; Popov, Bojan 39 2016 High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315 Guermond, Jean-Luc; Minev, Peter 38 2015 A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations. Zbl 1296.65133 Guermond, Jean-Luc; Nazarov, Murtazo 38 2014 Nonlinear corrections to Darcy’s law at low Reynolds numbers. Zbl 0897.76091 Firdaouss, Mouaouia; Guermond, Jean-Luc; Le Quéré, Patrick 37 1997 Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case. Zbl 1037.76034 Guermond, J. L.; Minev, P. D. 35 2003 Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306 Ern, Alexandre; Guermond, Jean-Luc 35 2006 Asymptotic analysis of upwind discontinuous Galerkin approximation of the radiative transport equation in the diffusive limit. Zbl 1218.65128 Guermond, Jean-Luc; Kanschat, Guido 34 2010 A result on second order convergence in time for the approximation of the Navier-Stokes equations by an incremental projection technique. (Un résultat de convergence d’ordre deux en temps pour l’approximation des équations de Navier-Stokes par une technique de projection incrémentale.) Zbl 0921.76123 Guermond, Jean-Luc 33 1999 Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265 Guermond, Jean-Luc; Popov, Bojan 33 2017 An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization. Zbl 1082.35120 Guermond, J. L.; Oden, J. T.; Prudhomme, S. 32 2003 A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168 Guermond, Jean-Luc; Pasquetti, Richard 31 2013 Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Zbl 1227.78020 Bonito, Andrea; Guermond, Jean-Luc 30 2011 An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. (An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs’ systems.) Zbl 1118.47003 Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert 29 2007 Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041 Ern, Alexandre; Guermond, Jean-Luc 28 2016 High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217 Guermond, Jean-Luc; Minev, Peter D. 28 2017 Éléments finis: théorie, applications, mise en œuvre. (Finite elements: Theory, applications, implementation.) Zbl 0993.65123 Ern, Alexandre; Guermond, Jean-Luc 27 2002 Subgrid stabilization of Galerkin approximations of linear monotone operators. Zbl 0974.65059 Guermond, J.-L. 27 2001 Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098 Ern, Alexandre; Guermond, Jean-Luc 27 2006 Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068 Ern, Alexandre; Guermond, Jean-Luc 26 2018 A finite element technique for solving first-order PDEs in \(L^{p}\). Zbl 1080.65110 Guermond, J. L. 26 2004 Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076 Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 23 2021 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 23 2021 A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095 Guermond, J. L.; Minev, P. D. 22 2011 An interior penalty Galerkin method for the MHD equations in heterogeneous domains. Zbl 1108.76040 Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C. 22 2007 Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method. Zbl 1159.76022 Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C. 20 2009 Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235 Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir 18 2016 Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094 Guermond, J.-L. 18 2007 On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365 Guermond, Jean-Luc 18 2008 Weighting the edge stabilization. Zbl 1280.65095 Ern, Alexandre; Guermond, Jean-Luc 17 2013 Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029 Guermond, J. L.; Shen, Jie; Yang, Xiaofeng 17 2008 Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. Zbl 1070.76035 Guermond, Jean-Luc; Prudhomme, Serge 16 2003 Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145 Ern, Alexandre; Guermond, Jean-Luc 16 2008 Finite-element-based Faedo-Galerkin weak solutions to the Navier–Stokes equations in the three-dimensional torus are suitable. Zbl 1094.35091 Guermond, J.-L. 16 2006 Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at \(Re=1000\). Zbl 1049.76510 Guermond, J.-L.; Migeon, C.; Pineau, G.; Quartapelle, L. 15 2002 A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting. Zbl 1352.76090 Guermond, Jean-Luc; Minev, Peter D. 15 2010 From suitable weak solutions to entropy viscosity. Zbl 1432.76080 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 14 2011 An interior penalty method with \(C^{0}\) finite elements for the approximation of the Maxwell equations in heterogeneous media: convergence analysis with minimal regularity. Zbl 1352.78014 Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky 14 2016 Well-balanced second-order finite element approximation of the shallow water equations with friction. Zbl 1405.65120 Guermond, Jean-Luc; de Luna, Manuel Quezada; Popov, Bojan; Kees, Christopher E.; Farthing, Matthew W. 14 2018 Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 2D case. Zbl 1137.65437 Guermond, Jean Luc; Minev, Peter D. 14 2002 Approximation of variable density incompressible flows by means of finite elements and finite volumes. Zbl 1022.76029 Fraigneau, Yann; Guermond, Jean-Luc; Quartapelle, Luigi 14 2001 High-order adaptive time stepping for the incompressible Navier-Stokes equations. Zbl 1411.65146 Guermond, Jean-Luc; Minev, Peter 13 2019 Subgrid stabilization by viscosity of Galerkin approximations of monotone linear operators. (Stabilisation par viscosité de sous-maille pour l’approximation de Galerkin des opérateurs linéaires monotones.) Zbl 0933.65058 Guermond, Jean-Luc 13 1999 On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation. Zbl 1078.35086 Guermond, J.-L.; Prudhomme, S. 13 2005 Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 1459.65165 Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan 13 2017 Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Zbl 1237.76027 Guermond, J. L.; Minev, P. D. 12 2012 A robust \(S_{N}\)-DG-approximation for radiation transport in optically thick and diffusive regimes. Zbl 1245.82063 Ragusa, J. C.; Guermond, J.-L.; Kanschat, G. 12 2012 Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136 Guermond, J. L.; Pasquetti, R. 12 2011 A new finite element method for magneto-dynamical problems: Two-dimensional results. Zbl 1081.76043 Guermond, J. L.; Léorat, J.; Nore, C. 12 2003 New results on several projection methods. (Quelques résultats nouveaux sur les méthodes de projection.) Zbl 1078.76587 Guermond, Jean-Luc; Shen, Jie 12 2001 The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020 Guermond, J.-L. 12 2009 Subgrid stabilization of Galerkin approximations of linear contraction semi-groups of class \(C^0\) in Hilbert spaces. Zbl 0967.65067 Guermond, Jean-Luc 11 2001 An conservative anti-diffusion technique for the level set method. Zbl 1457.76126 Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis 11 2017 The effect of the consistent mass matrix on the maximum-principle for scalar conservation equations. Zbl 1368.65192 Guermond, Jean-Luc; Popov, Bojan; Yang, Yong 11 2017 A fast algorithm for solving first-order PDEs by \(L^1\)-minimization. Zbl 1143.65060 Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan 10 2008 A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043 Guermond, Jean-Luc; Salgado, Abner 10 2008 Role of the LBB condition in weak spectral projection methods. Zbl 1007.76056 Auteri, F.; Guermond, J.-L.; Parolini, N. 9 2001 Uncoupled \(\omega-\psi\) formulation for plane flows in multiply connected domains. Zbl 0897.76050 Guermond, J.-L.; Quartapelle, L. 9 1997 Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145 Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J. 9 2012 Numerical simulation of the von Kármán sodium dynamo experiment. Zbl 1415.76761 Nore, Caroline; Castanon Quiroz, D.; Cappanera, L.; Guermond, J.-L. 9 2018 Robust explicit relaxation technique for solving the Green-Naghdi equations. Zbl 1453.65321 Guermond, Jean-Luc; Popov, Bojan; Tovar, Eric; Kees, Chris 9 2019 Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Zbl 1291.65277 Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan 9 2014 A locally div-free projection scheme for incompressible flows based on non-conforming finite elements. Zbl 1075.76039 Bejanov, B.; Guermond, J.-L.; Minev, P. D. 8 2005 A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028 Bejanov, B.; Guermond, J. L.; Minev, P. D. 8 2008 Sur la formulation vitesse-tourbillon des équations de Navier-Stokes en écoulement incompressible. (On the velocity-vorticity formulation of Navier-Stokes equations in incompressible flow). Zbl 0735.76016 Daube, Olivier; Guermond, Jean-Luc; Sellier, Antoine 7 1991 Remarks on projection methods for the approximation of Navier-Stokes equations. (Remarques sur les méthodes de projection pour l’approximation des équations de Navier-Stokes.) Zbl 0802.76057 Guermond, Jean-Luc 7 1994 A converse to Fortin’s lemma in Banach spaces. (Une réciproque au lemme de Fortin dans les espaces de Banach.) Zbl 1387.47004 Ern, Alexandre; Guermond, Jean-Luc 7 2016 A note on the Stokes operator and its powers. Zbl 1219.35170 Guermond, Jean-Luc; Salgado, Abner 7 2011 Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. Zbl 1401.65132 Ern, Alexandre; Guermond, Jean-Luc 7 2018 Invariant domains preserving arbitrary Lagrangian Eulerian approximation of hyperbolic systems with continuous finite elements. Zbl 1365.65222 Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura; Yang, Yong 7 2017 Finite element-based invariant-domain preserving approximation of hyperbolic systems: beyond second-order accuracy in space. Zbl 1536.65106 Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan 1 2024 Invariant-domain preserving high-order time stepping. II: IMEX schemes. Zbl 07742974 Alexandre, Ern; Guermond, Jean-Luc 2 2023 Invariant-domain-preserving high-order time stepping. I: Explicit Runge-Kutta schemes. Zbl 1501.65070 Ern, Alexandre; Guermond, Jean-Luc 7 2022 On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. Zbl 1507.76105 Guermond, Jean-Luc; Kronbichler, Martin; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 6 2022 Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography. Zbl 07517103 Guermond, Jean-Luc; Kees, Chris; Popov, Bojan; Tovar, Eric 4 2022 Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. Zbl 1501.35156 Ern, Alexandre; Guermond, Jean-Luc 3 2022 Invariant domain-preserving approximations for the Euler equations with tabulated equation of state. Zbl 1486.65164 Clayton, Bennett; Guermond, Jean-Luc; Popov, Bojan 2 2022 Numerical simulations of swirling electrovortex flows in cylinders. Zbl 1525.76112 Bénard, S.; Herreman, W.; Guermond, J. L.; Nore, C. 1 2022 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 89 2021 Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076 Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 23 2021 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 23 2021 On the nature of intermittency in a turbulent von Kármán flow. Zbl 1461.76182 Faller, H.; Geneste, D.; Chaabo, T.; Cheminet, A.; Valori, V.; Ostovan, Y.; Cappanera, L.; Cuvier, Ch.; Daviaud, F.; Foucaut, J.-M.; Guermond, J.-L.; Laval, J.-Ph.; Nore, C.; Padilla, V.; Wiertel, C.; Dubrulle, B. 6 2021 Efficient mixing by swirling electrovortex flows in liquid metal batteries. Zbl 1461.76553 Herreman, W.; Nore, C.; Cappanera, L.; Guermond, J.-L. 5 2021 Turbulence in realistic geometries with moving boundaries: when simulations meet experiments. Zbl 1521.76191 Cappanera, L.; Debue, P.; Faller, H.; Kuzzay, D.; Saw, E-W.; Nore, C.; Guermond, J.-L.; Daviaud, F.; Wiertel-Gasquet, C.; Dubrulle, B. 1 2021 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 39 2020 Positive and asymptotic preserving approximation of the radiation transport equation. Zbl 1447.65142 Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean 6 2020 Second-order invariant domain preserving ALE approximation of hyperbolic systems. Zbl 1453.65320 Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura 6 2020 Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136 Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio 51 2019 High-order adaptive time stepping for the incompressible Navier-Stokes equations. Zbl 1411.65146 Guermond, Jean-Luc; Minev, Peter 13 2019 Robust explicit relaxation technique for solving the Green-Naghdi equations. Zbl 1453.65321 Guermond, Jean-Luc; Popov, Bojan; Tovar, Eric; Kees, Chris 9 2019 Perturbation theory for metal pad roll instability in cylindrical reduction cells. Zbl 1430.76185 Herreman, W.; Nore, C.; Guermond, J.-L.; Cappanera, L.; Weber, N.; Horstmann, G. M. 6 2019 Second-order invariant domain preserving approximation of the Euler equations using convex limiting. Zbl 1402.65110 Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Tomas, Ignacio 67 2018 Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068 Ern, Alexandre; Guermond, Jean-Luc 26 2018 Well-balanced second-order finite element approximation of the shallow water equations with friction. Zbl 1405.65120 Guermond, Jean-Luc; de Luna, Manuel Quezada; Popov, Bojan; Kees, Christopher E.; Farthing, Matthew W. 14 2018 Numerical simulation of the von Kármán sodium dynamo experiment. Zbl 1415.76761 Nore, Caroline; Castanon Quiroz, D.; Cappanera, L.; Guermond, J.-L. 9 2018 Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. Zbl 1401.65132 Ern, Alexandre; Guermond, Jean-Luc 7 2018 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 99 2017 Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265 Guermond, Jean-Luc; Popov, Bojan 33 2017 High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217 Guermond, Jean-Luc; Minev, Peter D. 28 2017 Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 1459.65165 Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan 13 2017 An conservative anti-diffusion technique for the level set method. Zbl 1457.76126 Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis 11 2017 The effect of the consistent mass matrix on the maximum-principle for scalar conservation equations. Zbl 1368.65192 Guermond, Jean-Luc; Popov, Bojan; Yang, Yong 11 2017 Invariant domains preserving arbitrary Lagrangian Eulerian approximation of hyperbolic systems with continuous finite elements. Zbl 1365.65222 Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura; Yang, Yong 7 2017 Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050 Guermond, Jean-Luc; Popov, Bojan 77 2016 Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. Zbl 1349.76769 Guermond, Jean-Luc; Popov, Bojan 39 2016 Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041 Ern, Alexandre; Guermond, Jean-Luc 28 2016 Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235 Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir 18 2016 An interior penalty method with \(C^{0}\) finite elements for the approximation of the Maxwell equations in heterogeneous media: convergence analysis with minimal regularity. Zbl 1352.78014 Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky 14 2016 A converse to Fortin’s lemma in Banach spaces. (Une réciproque au lemme de Fortin dans les espaces de Banach.) Zbl 1387.47004 Ern, Alexandre; Guermond, Jean-Luc 7 2016 Error estimates of a first-order Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1336.65165 Guermond, Jean-Luc; Popov, Bojan 2 2016 High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315 Guermond, Jean-Luc; Minev, Peter 38 2015 Stabilized spectral element approximation of the Saint Venant system using the entropy viscosity technique. Zbl 1421.76039 Pasquetti, R.; Guermond, J. L.; Popov, B. 4 2015 Modified pressure-correction projection methods: open boundary and variable time stepping. Zbl 1321.76037 Bonito, Andrea; Guermond, Jean-Luc; Lee, Sanghyun 2 2015 Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147 Guermond, Jean-Luc; Popov, Bojan 60 2014 A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1302.65225 Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Yang, Yong 51 2014 A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations. Zbl 1296.65133 Guermond, Jean-Luc; Nazarov, Murtazo 38 2014 Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Zbl 1291.65277 Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan 9 2014 Discontinuous Galerkin for the radiative transport equation. Zbl 1282.65171 Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C. 6 2014 Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130 Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky 56 2013 Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109 Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan 40 2013 A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168 Guermond, Jean-Luc; Pasquetti, Richard 31 2013 Weighting the edge stabilization. Zbl 1280.65095 Ern, Alexandre; Guermond, Jean-Luc 17 2013 Remarks on the stability of the Navier-Stokes equations supplemented with stress boundary conditions. Zbl 1347.76015 Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C. 3 2013 Efficient parallel algorithms for unsteady incompressible flows. Zbl 1426.76372 Guermond, Jean-Luc; Minev, Peter D. 1 2013 Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Zbl 1237.76027 Guermond, J. L.; Minev, P. D. 12 2012 A robust \(S_{N}\)-DG-approximation for radiation transport in optically thick and diffusive regimes. Zbl 1245.82063 Ragusa, J. C.; Guermond, J.-L.; Kanschat, G. 12 2012 Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145 Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J. 9 2012 Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 168 2011 Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318 Guermond, J.-L.; Salgado, Abner J. 51 2011 Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Zbl 1227.78020 Bonito, Andrea; Guermond, Jean-Luc 30 2011 A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095 Guermond, J. L.; Minev, P. D. 22 2011 From suitable weak solutions to entropy viscosity. Zbl 1432.76080 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 14 2011 Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136 Guermond, J. L.; Pasquetti, R. 12 2011 A note on the Stokes operator and its powers. Zbl 1219.35170 Guermond, Jean-Luc; Salgado, Abner 7 2011 Effects of discontinuous magnetic permeability on magnetodynamic problems. Zbl 1220.78013 Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C.; Ribeiro, A. 3 2011 From suitable weak solutions to entropy viscosity. Zbl 1303.76007 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 3 2011 Asymptotic analysis of upwind discontinuous Galerkin approximation of the radiative transport equation in the diffusive limit. Zbl 1218.65128 Guermond, Jean-Luc; Kanschat, Guido 34 2010 A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting. Zbl 1352.76090 Guermond, Jean-Luc; Minev, Peter D. 15 2010 Electromagnetic induction in non-uniform domains. Zbl 1507.76241 Giesecke, A.; Nore, C.; Stefani, F.; Gerbeth, G.; Léorat, J.; Luddens, F.; Guermond, J.-L. 7 2010 Surface reconstruction and image enhancement via \(L^1\)-minimization. Zbl 1257.41009 Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan 5 2010 Generation of axisymmetric modes in cylindrical kinematic mean-field dynamos of VKS type. Zbl 1507.76240 Giesecke, A.; Nore, C.; Plunian, F.; Laguerre, R.; Ribeiro, A.; Stefani, F.; Gerbeth, G.; Léorat, J.; Guermond, J.-L. 4 2010 A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028 Guermond, J.-L.; Salgado, Abner 115 2009 Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method. Zbl 1159.76022 Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C. 20 2009 The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020 Guermond, J.-L. 12 2009 \(L^1\)-approximation of stationary Hamilton-Jacobi equations. Zbl 1191.35100 Guermond, Jean-Luc; Popov, Bojan 4 2009 An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations. Zbl 1175.65135 Guermond, Jean-Luc; Popov, Bojan 3 2009 Surface reconstruction via \(L^{1}\)-minimization. Zbl 1233.65019 Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan 2 2009 Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032 Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc 42 2008 Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079 Guermond, Jean-Luc; Pasquetti, Richard 42 2008 On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365 Guermond, Jean-Luc 18 2008 Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029 Guermond, J. L.; Shen, Jie; Yang, Xiaofeng 17 2008 Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145 Ern, Alexandre; Guermond, Jean-Luc 16 2008 A fast algorithm for solving first-order PDEs by \(L^1\)-minimization. Zbl 1143.65060 Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan 10 2008 A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043 Guermond, Jean-Luc; Salgado, Abner 10 2008 A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028 Bejanov, B.; Guermond, J. L.; Minev, P. D. 8 2008 \(L^{1}\)-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. Zbl 1143.65061 Guermond, Jean-Luc; Popov, Bojan 6 2008 Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129 Guermond, Jean-Luc; Pasciak, Joseph E. 5 2008 A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations. Zbl 1142.76041 Guermond, J.-L.; Prudhomme, Serge 4 2008 An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. (An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs’ systems.) Zbl 1118.47003 Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert 29 2007 An interior penalty Galerkin method for the MHD equations in heterogeneous domains. Zbl 1108.76040 Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C. 22 2007 Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094 Guermond, J.-L. 18 2007 Linear advection with ill-posed boundary conditions via \(L^1\)-minimization. Zbl 1118.65088 Guermond, Jean-Luc; Popov, Bojan 6 2007 An overview of projection methods for incompressible flows. Zbl 1122.76072 Guermond, J. L.; Minev, P.; Shen, Jie 617 2006 Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111 Ern, A.; Guermond, J.-L. 98 2006 Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036 Guermond, J.-L.; Marra, A.; Quartapelle, L. 43 2006 Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306 Ern, Alexandre; Guermond, Jean-Luc 35 2006 Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098 Ern, Alexandre; Guermond, Jean-Luc 27 2006 Finite-element-based Faedo-Galerkin weak solutions to the Navier–Stokes equations in the three-dimensional torus are suitable. Zbl 1094.35091 Guermond, J.-L. 16 2006 Discontinuous Galerkin methods for Friedrichs’ systems. Zbl 1119.65408 Ern, Alexandre; Guermond, Jean-Luc 3 2006 Error analysis of pressure-correction schemes for the time-dependent Stokes equations with open boundary conditions. Zbl 1083.76044 Guermond, J. L.; Minev, P.; Shen, J. 59 2005 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,625 Authors 99 Guermond, Jean-Luc 62 Burman, Erik 58 Ern, Alexandre 49 Yang, Xiaofeng 47 Shen, Jie 38 Gatica, Gabriel N. 34 Salgado, Abner J. 33 Otárola, Enrique 32 Popov, Boyan 31 Codina, Ramon 30 Badia, Santiago 28 John, Volker 27 Di Pietro, Daniele Antonio 26 Rebholz, Leo Gregory 26 Ruiz-Baier, Ricardo 25 Barrenechea, Gabriel R. 24 Kuzmin, Dmitri 23 He, Yinnian 22 Caucao, Sergio 22 Feng, Xinlong 22 Minev, Peter Dimitrov 21 Layton, William J. 20 Latché, Jean-Claude 20 Oyarzúa, Ricardo 19 Allendes, Alejandro 19 He, Xiaoming 18 Ciarlet, Patrick jun. 18 Guillén González, Francisco M. 18 Hansbo, Peter 18 Larson, Mats G. 18 Si, Zhiyong 17 Karniadakis, George Em 17 Nazarov, Murtazo 17 Scovazzi, Guglielmo 16 Abgrall, Rémi 16 Chouly, Franz 16 Dong, Suchuan 16 Jiang, Nan 16 Lube, Gert 15 Fernández, Miguel Ángel 15 Sherwin, Spencer J. 15 Tomas, Ignacio 15 Vohralík, Martin 14 Araya, Rodolfo A. 14 Bonito, Andrea 14 Calo, Victor Manuel 14 Dumbser, Michael 14 Gutiérrez-Santacreu, Juan Vicente 14 Herbin, Raphaèle 14 Hou, Yanren 13 An, Rong 13 Droniou, Jérôme 13 Li, Jian 13 Mao, Shipeng 13 Massing, André 13 Nore, Caroline 13 Olshanskii, Maxim A. 13 Rivière, Beatrice M. 13 Shang, Yueqiang 13 Valentin, Frédéric 13 Zhang, Guodong 12 Bazilevs, Yuri 12 Chaumont-Frelet, Théophile 12 Demkowicz, Leszek 12 Hauck, Cory D. 12 Iliescu, Traian 12 Jiang, Yaolin 12 Muga, Ignacio 12 Quartapelle, Luigi 12 Shadid, John N. 12 van der Zee, Kristoffer George 12 Yakoubi, Driss 11 Ainsworth, Mark 11 Carstensen, Carsten 11 Ding, Qianqian 11 Duan, Huoyuan 11 Gawlik, Evan S. 11 Jia, Hongen 11 Kaya, Songul 11 Langer, Ulrich 11 Nochetto, Ricardo Horacio 11 Pasquetti, Richard 11 Peterseim, Daniel 11 Quarteroni, Alfio M. 11 Su, Haiyan 11 Xu, Chuanju 11 Zheng, Haibiao 11 Zunino, Paolo 10 Bi, Hai 10 Busto, Saray 10 Han, Daozhi 10 Hesthaven, Jan S. 10 Knobloch, Petr 10 Kurganov, Alexander 10 Lozinski, Alexei 10 Lukáčová-Medviďová, Mária 10 Neda, Monika 10 Perotto, Simona 10 Reusken, Arnold 10 Rupp, Andreas ...and 4,525 more Authors all top 5 Cited in 269 Serials 473 Journal of Computational Physics 343 Computer Methods in Applied Mechanics and Engineering 208 Journal of Scientific Computing 156 Computers & Mathematics with Applications 121 Computers and Fluids 114 SIAM Journal on Scientific Computing 109 Journal of Computational and Applied Mathematics 109 SIAM Journal on Numerical Analysis 105 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 94 Numerische Mathematik 85 Applied Numerical Mathematics 82 Mathematics of Computation 68 Journal of Fluid Mechanics 68 Numerical Methods for Partial Differential Equations 52 International Journal for Numerical Methods in Fluids 47 Applied Mathematics and Computation 39 Computational Methods in Applied Mathematics 38 Journal of Mathematical Analysis and Applications 37 Communications in Computational Physics 36 International Journal for Numerical Methods in Engineering 35 M\(^3\)AS. 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