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: 174 Publications since 1987, including 5 Books and 2 Additional arXiv Preprints Co-Authors: 90 Co-Authors with 149 Joint Publications 2,005 Co-Co-Authors all top 5 Co-Authors 25 single-authored 39 Popov, Boyan 23 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 Saavedra, Laura 5 Salgado, Abner J. 4 Maier, Matthias Sebastian 4 Sellier, Antoine 4 Tovar, Eric J. 4 Yang, Yong 3 Herreman, W. 3 Kanschat, Guido 3 Kees, Chris 3 Laguerre, R. 3 Nazarov, Murtazo 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 Zhu, Jiang 1 Achdou, Yves 1 Alexandre, Ern 1 Auteri, Franco 1 Azérad, Pascal 1 Bénard, Sophie 1 Caplain, Gilbert 1 Castanon Quiroz, Daniel 1 Chaabo, T. 1 Cheminet, A. 1 Cortis, Andrea 1 Cuvier, Christian 1 Daube, Olivier 1 Debue, P. 1 Di Pietro, Daniele Antonio 1 Dong, Zhaonan 1 Farthing, Matthew W. 1 Foucaut, Jean-Marc 1 Fraigneau, Yann 1 Geneste, D. 1 Gornak, T. 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 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 17 Journal of Computational Physics 11 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 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 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 of Scientific Computing 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 Computers & Mathematics with Applications 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 111 Numerical analysis (65-XX) 104 Fluid mechanics (76-XX) 85 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 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 148 Publications have been cited 4,589 times in 2,889 Documents Cited by ▼ Year ▼ Theory and practice of finite elements. Zbl 1059.65103 Ern, Alexandre; Guermond, Jean-Luc 744 2004 An overview of projection methods for incompressible flows. Zbl 1122.76072 Guermond, J. L.; Minev, P.; Shen, Jie 544 2006 Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 146 2011 Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112 Guermond, Jean-Luc 138 1999 A projection FEM for variable-density incompressible flows. Zbl 0994.76051 Guermond, J.-L.; Quartapelle, L. 137 2000 On the error estimates for the rotational pressure-correction projection methods. Zbl 1093.76050 Guermond, J. L.; Shen, Jie 128 2004 Velocity-correction projection methods for incompressible flows. Zbl 1130.76395 Guermond, J. L.; Shen, Jie 122 2003 Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111 Ern, A.; Guermond, J.-L. 95 2006 A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028 Guermond, J.-L.; Salgado, Abner 94 2009 On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Zbl 0914.76051 Guermond, J.-L.; Quartapelle, L. 91 1998 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 88 2017 A new class of truly consistent splitting schemes for incompressible flows. Zbl 1032.76529 Guermond, J. L.; Shen, Jie 79 2003 On stability and convergence of projection methods based on pressure Poisson equation. Zbl 0912.76054 Guermond, J.-L.; Quartapelle, L. 78 1998 Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050 Guermond, Jean-Luc; Popov, Bojan 65 2016 Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. Zbl 0966.76041 Achdou, Y.; Guermond, J.-L. 61 2000 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 55 2018 Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147 Guermond, Jean-Luc; Popov, Bojan 53 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. 52 2005 Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130 Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky 52 2013 Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030 Guermond, J.-L.; Oden, J. T.; Prudhomme, S. 50 2004 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 50 2014 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 45 2021 Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036 Guermond, J.-L.; Marra, A.; Quartapelle, L. 40 2006 Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318 Guermond, J.-L.; Salgado, Abner J. 40 2011 Calculation of incompressible viscous flows by an unconditionally stable projection FEM. Zbl 0879.76050 Guermond, J.-L.; Quartapelle, L. 40 1997 Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136 Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio 39 2019 Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032 Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc 38 2008 Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079 Guermond, Jean-Luc; Pasquetti, Richard 38 2008 Some implementations of projection methods for Navier-Stokes equations. Zbl 0861.76065 Guermond, Jean-Luc 37 1996 Nonlinear corrections to Darcy’s law at low Reynolds numbers. Zbl 0897.76091 Firdaouss, Mouaouia; Guermond, Jean-Luc; Le Quéré, Patrick 35 1997 Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109 Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan 35 2013 High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315 Guermond, Jean-Luc; Minev, Peter 35 2015 A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations. Zbl 1296.65133 Guermond, Jean-Luc; Nazarov, Murtazo 34 2014 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 32 2016 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. 31 2003 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. 30 2003 Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306 Ern, Alexandre; Guermond, Jean-Luc 30 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 29 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 29 1999 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 28 2007 Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098 Ern, Alexandre; Guermond, Jean-Luc 28 2006 A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168 Guermond, Jean-Luc; Pasquetti, Richard 28 2013 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 28 2020 Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265 Guermond, Jean-Luc; Popov, Bojan 27 2017 Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Zbl 1227.78020 Bonito, Andrea; Guermond, Jean-Luc 26 2011 Subgrid stabilization of Galerkin approximations of linear monotone operators. Zbl 0974.65059 Guermond, J.-L. 26 2001 Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041 Ern, Alexandre; Guermond, Jean-Luc 25 2016 High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217 Guermond, Jean-Luc; Minev, Peter D. 24 2017 A finite element technique for solving first-order PDEs in \(L^{p}\). Zbl 1080.65110 Guermond, J. L. 22 2004 Éléments finis: théorie, applications, mise en œuvre. (Finite elements: Theory, applications, implementation.) Zbl 0993.65123 Ern, Alexandre; Guermond, Jean-Luc 21 2002 Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068 Ern, Alexandre; Guermond, Jean-Luc 21 2018 An interior penalty Galerkin method for the MHD equations in heterogeneous domains. Zbl 1108.76040 Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C. 20 2007 A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095 Guermond, J. L.; Minev, P. D. 20 2011 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. 19 2009 Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076 Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio 18 2021 Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094 Guermond, J.-L. 17 2007 Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145 Ern, Alexandre; Guermond, Jean-Luc 17 2008 On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365 Guermond, Jean-Luc 17 2008 Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235 Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir 17 2016 Weighting the edge stabilization. Zbl 1280.65095 Ern, Alexandre; Guermond, Jean-Luc 17 2013 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 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 16 2021 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 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. 14 2002 Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. Zbl 1070.76035 Guermond, Jean-Luc; Prudhomme, Serge 14 2003 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 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 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 13 2016 Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029 Guermond, J. L.; Shen, Jie; Yang, Xiaofeng 13 2008 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 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 12 1999 Approximation of variable density incompressible flows by means of finite elements and finite volumes. Zbl 1022.76029 Fraigneau, Yann; Guermond, Jean-Luc; Quartapelle, Luigi 12 2001 Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 1459.65165 Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan 12 2017 High-order adaptive time stepping for the incompressible Navier-Stokes equations. Zbl 1411.65146 Guermond, Jean-Luc; Minev, Peter 12 2019 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. 12 2018 Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136 Guermond, J. L.; Pasquetti, R. 11 2011 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. 11 2012 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 A new finite element method for magneto-dynamical problems: Two-dimensional results. Zbl 1081.76043 Guermond, J. L.; Léorat, J.; Nore, C. 11 2003 The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020 Guermond, J.-L. 11 2009 A fast algorithm for solving first-order PDEs by \(L^1\)-minimization. Zbl 1143.65060 Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan 9 2008 Uncoupled \(\omega-\psi\) formulation for plane flows in multiply connected domains. Zbl 0897.76050 Guermond, J.-L.; Quartapelle, L. 9 1997 New results on several projection methods. (Quelques résultats nouveaux sur les méthodes de projection.) Zbl 1078.76587 Guermond, Jean-Luc; Shen, Jie 9 2001 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 9 2017 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 Robust explicit relaxation technique for solving the Green-Naghdi equations. Zbl 1453.65321 Guermond, Jean-Luc; Popov, Bojan; Tovar, Eric; Kees, Chris 9 2019 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 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 Role of the LBB condition in weak spectral projection methods. Zbl 1007.76056 Auteri, F.; Guermond, J.-L.; Parolini, N. 8 2001 An conservative anti-diffusion technique for the level set method. Zbl 1457.76126 Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis 8 2017 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 grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028 Bejanov, B.; Guermond, J. L.; Minev, P. D. 7 2008 A systematic formula for the asymptotic expansion of singular integrals. Zbl 0626.45018 Guermond, Jean Luc 6 1987 Linear advection with ill-posed boundary conditions via \(L^1\)-minimization. Zbl 1118.65088 Guermond, Jean-Luc; Popov, Bojan 6 2007 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 6 1991 Simulation of 2D external viscous flows by means of a domain decomposition method. Zbl 0792.76063 Guermond, J.-L.; Huberson, S.; Shen, W.-Z. 6 1993 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 6 2016 A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043 Guermond, Jean-Luc; Salgado, Abner 6 2008 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 3 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 2 2022 Invariant-domain-preserving high-order time stepping. I: Explicit Runge-Kutta schemes. Zbl 1501.65070 Ern, Alexandre; Guermond, Jean-Luc 2 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 2 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 Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002 Ern, Alexandre; Guermond, Jean-Luc 45 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 18 2021 Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001 Ern, Alexandre; Guermond, Jean-Luc 16 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. 3 2021 Finite elements I. Approximation and interpolation. Zbl 1476.65003 Ern, Alexandre; Guermond, Jean-Luc 28 2020 Second-order invariant domain preserving ALE approximation of hyperbolic systems. Zbl 1453.65320 Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura 5 2020 Positive and asymptotic preserving approximation of the radiation transport equation. Zbl 1447.65142 Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean 4 2020 Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136 Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio 39 2019 High-order adaptive time stepping for the incompressible Navier-Stokes equations. Zbl 1411.65146 Guermond, Jean-Luc; Minev, Peter 12 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 55 2018 Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068 Ern, Alexandre; Guermond, Jean-Luc 21 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. 12 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 5 2018 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 88 2017 Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265 Guermond, Jean-Luc; Popov, Bojan 27 2017 High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217 Guermond, Jean-Luc; Minev, Peter D. 24 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 12 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 9 2017 An conservative anti-diffusion technique for the level set method. Zbl 1457.76126 Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis 8 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 5 2017 Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050 Guermond, Jean-Luc; Popov, Bojan 65 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 32 2016 Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041 Ern, Alexandre; Guermond, Jean-Luc 25 2016 Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235 Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir 17 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 13 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 6 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 35 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 53 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 50 2014 A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations. Zbl 1296.65133 Guermond, Jean-Luc; Nazarov, Murtazo 34 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. 5 2014 Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130 Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky 52 2013 Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109 Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan 35 2013 A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168 Guermond, Jean-Luc; Pasquetti, Richard 28 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. 2 2013 Efficient parallel algorithms for unsteady incompressible flows. Zbl 1426.76372 Guermond, Jean-Luc; Minev, Peter D. 1 2013 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 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. 11 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 146 2011 Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318 Guermond, J.-L.; Salgado, Abner J. 40 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 26 2011 A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095 Guermond, J. L.; Minev, P. D. 20 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. 11 2011 A note on the Stokes operator and its powers. Zbl 1219.35170 Guermond, Jean-Luc; Salgado, Abner 5 2011 From suitable weak solutions to entropy viscosity. Zbl 1303.76007 Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan 3 2011 Effects of discontinuous magnetic permeability on magnetodynamic problems. Zbl 1220.78013 Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C.; Ribeiro, A. 2 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 29 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 Surface reconstruction and image enhancement via \(L^1\)-minimization. Zbl 1257.41009 Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan 5 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. 3 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. 2 2010 A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028 Guermond, J.-L.; Salgado, Abner 94 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. 19 2009 The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020 Guermond, J.-L. 11 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 38 2008 Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079 Guermond, Jean-Luc; Pasquetti, Richard 38 2008 Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145 Ern, Alexandre; Guermond, Jean-Luc 17 2008 On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365 Guermond, Jean-Luc 17 2008 Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029 Guermond, J. L.; Shen, Jie; Yang, Xiaofeng 13 2008 A fast algorithm for solving first-order PDEs by \(L^1\)-minimization. Zbl 1143.65060 Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan 9 2008 A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028 Bejanov, B.; Guermond, J. L.; Minev, P. D. 7 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 6 2008 \(L^{1}\)-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. Zbl 1143.65061 Guermond, Jean-Luc; Popov, Bojan 5 2008 Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129 Guermond, Jean-Luc; Pasciak, Joseph E. 4 2008 A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations. Zbl 1142.76041 Guermond, J.-L.; Prudhomme, Serge 3 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 28 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. 20 2007 Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094 Guermond, J.-L. 17 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 544 2006 Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111 Ern, A.; Guermond, J.-L. 95 2006 Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036 Guermond, J.-L.; Marra, A.; Quartapelle, L. 40 2006 Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306 Ern, Alexandre; Guermond, Jean-Luc 30 2006 Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098 Ern, Alexandre; Guermond, Jean-Luc 28 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. 52 2005 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 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 Nonstandard nonconforming approximation of the Stokes problem. I: Periodic boundary conditions. Zbl 1329.76071 Guermond, J.-L. 1 2005 Theory and practice of finite elements. Zbl 1059.65103 Ern, Alexandre; Guermond, Jean-Luc 744 2004 ...and 48 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,925 Authors 94 Guermond, Jean-Luc 53 Burman, Erik 50 Ern, Alexandre 46 Yang, Xiaofeng 33 Salgado, Abner J. 32 Shen, Jie 30 Popov, Boyan 27 Badia, Santiago 27 Codina, Ramon 27 Gatica, Gabriel N. 26 John, Volker 26 Otárola, Enrique 24 Di Pietro, Daniele Antonio 24 Rebholz, Leo G. 22 Kuzmin, Dmitri 22 Minev, Peter Dimitrov 21 Ruiz-Baier, Ricardo 20 Feng, Xinlong 20 Layton, William J. 19 Barrenechea, Gabriel R. 18 He, Yinnian 18 Latché, Jean-Claude 17 Caucao, Sergio 16 Dong, Suchuan 16 Guillén González, Francisco M. 16 Larson, Mats G. 16 Oyarzúa, Ricardo 16 Si, Zhiyong 15 Karniadakis, George Em 15 Sherwin, Spencer J. 14 Allendes, Alejandro 14 Ciarlet, Patrick jun. 14 He, Xiaoming 14 Hou, Yanren 13 Bonito, Andrea 13 Gutiérrez-Santacreu, Juan Vicente 13 Hansbo, Peter 13 Jiang, Nan 13 Nore, Caroline 13 Olshanskii, Maxim A. 13 Tomas, Ignacio 13 Vohralík, Martin 12 Abgrall, Rémi 12 Calo, Victor Manuel 12 Herbin, Raphaèle 12 Lube, Gert 12 Massing, André 12 Nazarov, Murtazo 12 Quartapelle, Luigi 12 Shadid, John N. 12 Shang, Yueqiang 11 An, Rong 11 Chouly, Franz 11 Droniou, Jérôme 11 Fernández, Miguel Ángel 11 Kaya, Songul 11 Li, Jian 11 Muga, Ignacio 11 Nochetto, Ricardo Horacio 11 Pasquetti, Richard 11 Scovazzi, Guglielmo 11 Xu, Chuanju 10 Chaumont-Frelet, Théophile 10 Duan, Huoyuan 10 Dumbser, Michael 10 Hauck, Cory D. 10 Hesthaven, Jan S. 10 Iliescu, Traian 10 Knobloch, Petr 10 Lukáčová-Medviďová, Mária 10 Mao, Shipeng 10 Neda, Monika 10 Perotto, Simona 10 Quarteroni, Alfio M. 10 Reusken, Arnold 10 Rivière, Beatrice M. 10 Tomov, Vladimir Z. 10 Valentin, Frédéric 10 Wang, Kun 10 Zhang, Guodong 9 Araya, Rodolfo A. 9 Carstensen, Carsten 9 De Luna, Manuel Quezada 9 Gunzburger, Max D. 9 Jiang, Yaolin 9 Kolev, Tzanio V. 9 Kurganov, Alexander 9 Peterseim, Daniel 9 Saavedra, Laura 9 Su, Haiyan 9 Tabata, Masahisa 9 Wang, Qi 9 Yang, Huanhuan 9 Zlotnik, Alexander A. 9 Zunino, Paolo 8 Auteri, Franco 8 Berselli, Luigi Carlo 8 Bi, Hai 8 Blackburn, Hugh M. 8 Braack, Malte ...and 3,825 more Authors all top 5 Cited in 252 Serials 408 Journal of Computational Physics 259 Computer Methods in Applied Mechanics and Engineering 170 Journal of Scientific Computing 125 Computers & Mathematics with Applications 111 Computers and Fluids 98 SIAM Journal on Numerical Analysis 95 SIAM Journal on Scientific Computing 90 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 89 Journal of Computational and Applied Mathematics 84 Numerische Mathematik 79 Mathematics of Computation 63 Journal of Fluid Mechanics 62 Applied Numerical Mathematics 54 Numerical Methods for Partial Differential Equations 38 Applied Mathematics and Computation 32 Communications in Computational Physics 29 International Journal for Numerical Methods in Fluids 29 Computational Methods in Applied Mathematics 27 Journal of Mathematical Analysis and Applications 26 Advances in Computational Mathematics 25 M\(^3\)AS. 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