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## Guermond, Jean-Luc

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 Author ID: guermond.jean-luc Published as: Guermond, J. -L.; Guermond, J. L.; Guermond, J.-L.; Guermond, Jean Luc; Guermond, Jean-Luc; Guermond, Jean.-L.; Guermond, Lean-Luc External Links: MGP · Wikidata
 Documents Indexed: 151 Publications since 1987, including 4 Books
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#### Co-Authors

 25 single-authored 29 Popov, Boyan 18 Ern, Alexandre 17 Minev, Peter Dimitrov 15 Quartapelle, Luigi 7 Nore, Caroline 7 Pasquetti, Richard 7 Shen, Jie 6 Prudhomme, Serge 5 Bonito, Andrea 5 Léorat, Jacques 5 Salgado, Abner J. 4 Luddens, Francky 4 Sellier, Antoine 4 Yang, Yong 3 Kanschat, Guido 3 Nazarov, Murtazo 3 Ragusa, Jean C. 3 Shen, When-Zhong 3 Tomas, Ignacio 2 Bejanov, B. 2 Cappanera, Loïc 2 De Luna, Manuel Quezada 2 Dobrev, Veselin A. 2 Firdaouss, Mouaouia 2 Huberson, Serge G. 2 Laguerre, R. 2 Oden, John Tinsley 2 Saavedra, Laura 2 Zhu, Jiang 1 Achdou, Yves 1 Auteri, Franco 1 Azérad, Pascal 1 Caplain, Gilbert 1 Castanon Quiroz, Daniel 1 Cortis, Andrea 1 Daube, Olivier 1 Di Pietro, Daniele Antonio 1 Farthing, Matthew W. 1 Fraigneau, Yann 1 Gornak, T. 1 Herreman, W. 1 Horstmann, G. M. 1 Iliev, Oleg P. 1 Kees, Christopher E. 1 Klingenberg, Christian Peter 1 Lafarge, Denis 1 Le Quéré, Patrick 1 Lee, Sanghyun 1 Loula, Abimael Fernando Dourado 1 Marpeau, Fabien 1 Marra, Alessandra 1 Migeon, C. 1 Morel, Jim E. 1 Parolini, Nicola 1 Pasciak, Joseph E. 1 Pineau, G. 1 Ribeiro, Alexandra B. 1 Smeulders, David M. J. 1 Thompson, Travis 1 Tomov, Vladimir Z. 1 Weber, Norbert 1 Yang, Xiaofeng 1 Zingan, Valentin
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#### Serials

 19 SIAM Journal on Numerical Analysis 13 Journal of Computational Physics 9 Computer Methods in Applied Mechanics and Engineering 6 Journal of Fluid Mechanics 6 SIAM Journal on Scientific Computing 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 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 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 & 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 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
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#### Fields

 97 Numerical analysis (65-XX) 90 Fluid mechanics (76-XX) 71 Partial differential equations (35-XX) 8 Optics, electromagnetic theory (78-XX) 6 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) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

132 Publications have been cited 2,778 times in 1,771 Documents Cited by Year
Theory and practice of finite elements. Zbl 1059.65103
Ern, Alexandre; Guermond, Jean-Luc
2004
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
2006
Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112
Guermond, Jean-Luc
1999
Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
2011
Velocity-correction projection methods for incompressible flows. Zbl 1130.76395
Guermond, J. L.; Shen, Jie
2003
On the error estimates for the rotational pressure-correction projection methods. Zbl 1093.76050
Guermond, J. L.; Shen, Jie
2004
A projection FEM for variable-density incompressible flows. Zbl 0994.76051
Guermond, J.-L.; Quartapelle, L.
2000
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Zbl 0914.76051
Guermond, J.-L.; Quartapelle, L.
1998
On stability and convergence of projection methods based on pressure Poisson equation. Zbl 0912.76054
Guermond, J.-L.; Quartapelle, L.
1998
A new class of truly consistent splitting schemes for incompressible flows. Zbl 1032.76529
Guermond, J. L.; Shen, Jie
2003
Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111
Ern, A.; Guermond, J.-L.
2006
Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. Zbl 0966.76041
Achdou, Y.; Guermond, J.-L.
2000
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
2009
Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030
Guermond, J.-L.; Oden, J. T.; Prudhomme, S.
2004
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
2017
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.
2005
Calculation of incompressible viscous flows by an unconditionally stable projection FEM. Zbl 0879.76050
Guermond, J.-L.; Quartapelle, L.
1997
Some implementations of projection methods for Navier-Stokes equations. Zbl 0861.76065
Guermond, Jean-Luc
1996
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
2014
Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079
Guermond, Jean-Luc; Pasquetti, Richard
2008
Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
2013
Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036
Guermond, J.-L.; Marra, A.; Quartapelle, L.
2006
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.
2003
Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147
Guermond, Jean-Luc; Popov, Bojan
2014
Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109
Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan
2013
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
2008
Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050
Guermond, Jean-Luc; Popov, Bojan
2016
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Zbl 1227.78020
Bonito, Andrea; Guermond, Jean-Luc
2011
A result on second order convergence in time for the approximation of the Navier-Stokes equations by an incremental projection technique. Zbl 0921.76123
Guermond, Jean-Luc
1999
Nonlinear corrections to Darcy’s law at low Reynolds numbers. Zbl 0897.76091
Firdaouss, Mouaouia; Guermond, Jean-Luc; Le Quéré, Patrick
1997
Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098
Ern, Alexandre; Guermond, Jean-Luc
2006
Subgrid stabilization of Galerkin approximations of linear monotone operators. Zbl 0974.65059
Guermond, J.-L.
2001
A maximum-principle preserving $$C^0$$ finite element method for scalar conservation equations. Zbl 1296.65133
Guermond, Jean-Luc; Nazarov, Murtazo
2014
An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. Zbl 1118.47003
Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert
2007
Asymptotic analysis of upwind discontinuous Galerkin approximation of the radiative transport equation in the diffusive limit. Zbl 1218.65128
Guermond, Jean-Luc; Kanschat, Guido
2010
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.
2003
A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168
Guermond, Jean-Luc; Pasquetti, Richard
2013
Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306
Ern, Alexandre; Guermond, Jean-Luc
2006
A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095
Guermond, J. L.; Minev, P. D.
2011
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
2011
A finite element technique for solving first-order PDEs in $$L^{p}$$. Zbl 1080.65110
Guermond, J. L.
2004
Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094
Guermond, J.-L.
2007
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.
2006
On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365
Guermond, Jean-Luc
2008
An interior penalty Galerkin method for the MHD equations in heterogeneous domains. Zbl 1108.76040
Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C.
2007
Éléments finis: théorie, applications, mise en œuvre. Zbl 0993.65123
Ern, Alexandre; Guermond, Jean-Luc
2002
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
2016
High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315
Guermond, Jean-Luc; Minev, Peter
2015
Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145
Ern, Alexandre; Guermond, Jean-Luc
2008
Subgrid stabilization by viscosity of Galerkin approximations of monotone linear operators. Zbl 0933.65058
Guermond, Jean-Luc
1999
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
2016
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.
2010
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.
2009
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.
2005
Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. Zbl 1070.76035
Guermond, Jean-Luc; Prudhomme, Serge
2003
A new finite element method for magneto-dynamical problems: Two-dimensional results. Zbl 1081.76043
Guermond, J. L.; Léorat, J.; Nore, C.
2003
Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265
Guermond, Jean-Luc; Popov, Bojan
2017
Weighting the edge stabilization. Zbl 1280.65095
Ern, Alexandre; Guermond, Jean-Luc
2013
From suitable weak solutions to entropy viscosity. Zbl 1432.76080
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
2011
Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136
Guermond, J. L.; Pasquetti, R.
2011
Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029
Guermond, J. L.; Shen, Jie; Yang, Xiaofeng
2008
Approximation of variable density incompressible flows by means of finite elements and finite volumes. Zbl 1022.76029
Fraigneau, Yann; Guermond, Jean-Luc; Quartapelle, Luigi
2001
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
2018
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.
2012
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.
2002
Uncoupled $$\omega-\psi$$ formulation for plane flows in multiply connected domains. Zbl 0897.76050
Guermond, J.-L.; Quartapelle, L.
1997
High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217
Guermond, Jean-Luc; Minev, Peter D.
2017
The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020
Guermond, J.-L.
2009
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.
2005
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.
2002
New results on several projection methods. Zbl 1078.76587
Guermond, Jean-Luc; Shen, Jie
2001
Subgrid stabilization of Galerkin approximations of linear contraction semi-groups of class $$C^0$$ in Hilbert spaces. Zbl 0967.65067
Guermond, Jean-Luc
2001
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068
Ern, Alexandre; Guermond, Jean-Luc
2018
Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 06823684
Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan
2017
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Zbl 1291.65277
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan
2014
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.
2012
Role of the LBB condition in weak spectral projection methods. Zbl 1007.76056
Auteri, F.; Guermond, J.-L.; Parolini, N.
2001
Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235
Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir
2016
A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028
Bejanov, B.; Guermond, J. L.; Minev, P. D.
2008
Simulation of 2D external viscous flows by means of a domain decomposition method. Zbl 0792.76063
Guermond, J.-L.; Huberson, S.; Shen, W.-Z.
1993
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
1991
A systematic formula for the asymptotic expansion of singular integrals. Zbl 0626.45018
Guermond, Jean Luc
1987
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
2016
A fast algorithm for solving first-order PDEs by $$L^1$$-minimization. Zbl 1143.65060
Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan
2008
Linear advection with ill-posed boundary conditions via $$L^1$$-minimization. Zbl 1118.65088
Guermond, Jean-Luc; Popov, Bojan
2007
Analysis of a projection/characteristic scheme for incompressible flow. Zbl 1112.76389
Guermond, Jean-Luc; Minev, Peter D.
2003
A convergence second-order result for the approximation of the Navier-Stokes equations by an incremental projection method. Zbl 0899.76271
Guermond, Jean-Luc
1997
Remarks on projection methods for the approximation of Navier-Stokes equations. Zbl 0802.76057
Guermond, Jean-Luc
1994
An conservative anti-diffusion technique for the level set method. Zbl 06730445
Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis
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
2017
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.
2012
Discontinuous Galerkin methods for Friedrichs’ systems. Zbl 1119.65408
Ern, Alexandre; Guermond, Jean-Luc
2006
Weak approximation of the $$\psi$$-$$\omega$$ equations with explicit viscous diffusion. Zbl 1077.76528
Guermond, J. -L.; Quartapelle, L.
2000
On approximation of Navier-Stokes equations by a projection method. Zbl 0813.76066
Guermond, Lean-Luc
1994
Numerical quadratures for layer potentials over curved domains in $$\mathbb{R}{}^ 3$$. Zbl 0772.65073
Guermond, Jean-Luc
1992
Numerical simulation of the von Kármán sodium dynamo experiment. Zbl 1415.76761
Nore, Caroline; Castanon Quiroz, D.; Cappanera, L.; Guermond, J.-L.
2018
A converse to Fortin’s lemma in Banach spaces. Zbl 1387.47004
Ern, Alexandre; Guermond, Jean-Luc
2016
Discontinuous Galerkin for the radiative transport equation. Zbl 1282.65171
Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C.
2014
A note on the Stokes operator and its powers. Zbl 1219.35170
2011
Surface reconstruction and image enhancement via $$L^1$$-minimization. Zbl 1257.41009
Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan
2010
Positive and asymptotic preserving approximation of the radiation transport equation. Zbl 1447.65142
Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean
2020
Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136
Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio
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.
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
2018
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068
Ern, Alexandre; Guermond, Jean-Luc
2018
Numerical simulation of the von Kármán sodium dynamo experiment. Zbl 1415.76761
Nore, Caroline; Castanon Quiroz, D.; Cappanera, L.; Guermond, J.-L.
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.
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
2018
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
2017
Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265
Guermond, Jean-Luc; Popov, Bojan
2017
High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217
Guermond, Jean-Luc; Minev, Peter D.
2017
Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 06823684
Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan
2017
An conservative anti-diffusion technique for the level set method. Zbl 06730445
Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis
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
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
2017
Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050
Guermond, Jean-Luc; Popov, Bojan
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
2016
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
2016
Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235
Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir
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
2016
A converse to Fortin’s lemma in Banach spaces. Zbl 1387.47004
Ern, Alexandre; Guermond, Jean-Luc
2016
Error estimates of a first-order Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1336.65165
Guermond, Jean-Luc; Popov, Bojan
2016
High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315
Guermond, Jean-Luc; Minev, Peter
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.
2015
Modified pressure-correction projection methods: open boundary and variable time stepping. Zbl 1321.76037
Bonito, Andrea; Guermond, Jean-Luc; Lee, Sanghyun
2015
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
2014
Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147
Guermond, Jean-Luc; Popov, Bojan
2014
A maximum-principle preserving $$C^0$$ finite element method for scalar conservation equations. Zbl 1296.65133
Guermond, Jean-Luc; Nazarov, Murtazo
2014
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Zbl 1291.65277
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan
2014
Discontinuous Galerkin for the radiative transport equation. Zbl 1282.65171
Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C.
2014
Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
2013
Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109
Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan
2013
A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168
Guermond, Jean-Luc; Pasquetti, Richard
2013
Weighting the edge stabilization. Zbl 1280.65095
Ern, Alexandre; Guermond, Jean-Luc
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.
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.
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.
2012
Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
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
2011
A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095
Guermond, J. L.; Minev, P. D.
2011
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
2011
From suitable weak solutions to entropy viscosity. Zbl 1432.76080
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
2011
Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136
Guermond, J. L.; Pasquetti, R.
2011
A note on the Stokes operator and its powers. Zbl 1219.35170
2011
From suitable weak solutions to entropy viscosity. Zbl 1303.76007
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
2011
Effects of discontinuous magnetic permeability on magnetodynamic problems. Zbl 1220.78013
Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C.; Ribeiro, A.
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
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.
2010
Surface reconstruction and image enhancement via $$L^1$$-minimization. Zbl 1257.41009
Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan
2010
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
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.
2009
The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020
Guermond, J.-L.
2009
$$L^1$$-approximation of stationary Hamilton-Jacobi equations. Zbl 1191.35100
Guermond, Jean-Luc; Popov, Bojan
2009
An optimal $$L_1$$-minimization algorithm for stationary Hamilton-Jacobi equations. Zbl 1175.65135
Guermond, Jean-Luc; Popov, Bojan
2009
Surface reconstruction via $$L^{1}$$-minimization. Zbl 1233.65019
Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan
2009
Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079
Guermond, Jean-Luc; Pasquetti, Richard
2008
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
2008
On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365
Guermond, Jean-Luc
2008
Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145
Ern, Alexandre; Guermond, Jean-Luc
2008
Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029
Guermond, J. L.; Shen, Jie; Yang, Xiaofeng
2008
A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028
Bejanov, B.; Guermond, J. L.; Minev, P. D.
2008
A fast algorithm for solving first-order PDEs by $$L^1$$-minimization. Zbl 1143.65060
Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan
2008
Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129
Guermond, Jean-Luc; Pasciak, Joseph E.
2008
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
2008
A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations. Zbl 1142.76041
Guermond, J.-L.; Prudhomme, Serge
2008
$$L^{1}$$-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. Zbl 1143.65061
Guermond, Jean-Luc; Popov, Bojan
2008
An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. Zbl 1118.47003
Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert
2007
Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094
Guermond, J.-L.
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.
2007
Linear advection with ill-posed boundary conditions via $$L^1$$-minimization. Zbl 1118.65088
Guermond, Jean-Luc; Popov, Bojan
2007
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
2006
Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111
Ern, A.; Guermond, J.-L.
2006
Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036
Guermond, J.-L.; Marra, A.; Quartapelle, L.
2006
Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098
Ern, Alexandre; Guermond, Jean-Luc
2006
Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306
Ern, Alexandre; Guermond, Jean-Luc
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.
2006
Discontinuous Galerkin methods for Friedrichs’ systems. Zbl 1119.65408
Ern, Alexandre; Guermond, Jean-Luc
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.
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.
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.
2005
Finite-element-based Faedo-Galerkin weak solution to the Navier-Stokes equation in the three-dimensional torus are suitable. Zbl 1081.35077
Guermond, Jean-Luc
2005
Nonstandard nonconforming approximation of the Stokes problem. I: Periodic boundary conditions. Zbl 1329.76071
Guermond, J.-L.
2005
Theory and practice of finite elements. Zbl 1059.65103
Ern, Alexandre; Guermond, Jean-Luc
2004
On the error estimates for the rotational pressure-correction projection methods. Zbl 1093.76050
Guermond, J. L.; Shen, Jie
2004
Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030
Guermond, J.-L.; Oden, J. T.; Prudhomme, S.
2004
A finite element technique for solving first-order PDEs in $$L^{p}$$. Zbl 1080.65110
Guermond, J. L.
2004
Accurate numerical simulation of radiative heat transfer with application to crystal growth. Zbl 1076.80005
Ern, Alexandre; Guermond, Jean-Luc
2004
Velocity-correction projection methods for incompressible flows. Zbl 1130.76395
Guermond, J. L.; Shen, Jie
2003
A new class of truly consistent splitting schemes for incompressible flows. Zbl 1032.76529
Guermond, J. L.; Shen, Jie
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.
2003
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.
2003
Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. Zbl 1070.76035
Guermond, Jean-Luc; Prudhomme, Serge
2003
A new finite element method for magneto-dynamical problems: Two-dimensional results. Zbl 1081.76043
Guermond, J. L.; Léorat, J.; Nore, C.
2003
Analysis of a projection/characteristic scheme for incompressible flow. Zbl 1112.76389
Guermond, Jean-Luc; Minev, Peter D.
2003
Influence of pore roughness on high-frequency permeability. Zbl 1186.76114
Cortis, Andrea; Smeulders, David M. J.; Guermond, Jean Luc; Lafarge, Denis
2003
3D vector Poisson-like problem with a triplet of intrinsic scalar boundary conditions. Zbl 1062.35145
Zhu, Jiang; Guermond, Jean-Luc; Loula, Abimael F. D.; Quartapelle, Luigi
2003
Éléments finis: théorie, applications, mise en œuvre. Zbl 0993.65123
Ern, Alexandre; Guermond, Jean-Luc
2002
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.
2002
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.
2002
Subgrid stabilization of Galerkin approximations of linear monotone operators. Zbl 0974.65059
Guermond, J.-L.
2001
...and 32 more Documents
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#### Cited by 2,660 Authors

 72 Guermond, Jean-Luc 39 Burman, Erik 36 Ern, Alexandre 27 Shen, Jie 26 Codina, Ramon 26 Salgado, Abner J. 24 Badia, Santiago 22 John, Volker 22 Minev, Peter Dimitrov 22 Rebholz, Leo G. 22 Yang, Xiaofeng 21 Di Pietro, Daniele Antonio 20 Popov, Boyan 18 Barrenechea, Gabriel R. 17 Otárola, Enrique 16 Layton, William J. 15 He, Yinnian 15 Karniadakis, George Em 13 Guillén González, Francisco M. 13 Kuzmin, Dmitri 13 Lube, Gert 13 Sherwin, Spencer J. 12 Hansbo, Peter 12 Larson, Mats G. 12 Latché, Jean-Claude 12 Quartapelle, Luigi 12 Quarteroni, Alfio M. 11 Ciarlet, Patrick jun. 11 Fernández, Miguel Ángel 10 Gutiérrez-Santacreu, Juan Vicente 10 Scovazzi, Guglielmo 10 Si, Zhiyong 9 Allendes, Alejandro 9 Chouly, Franz 9 Hou, Yanren 9 Iliescu, Traian 9 Renard, Yves 8 Bazilevs, Yuri 8 Burazin, Krešimir 8 Feng, Xinlong 8 Hauck, Cory D. 8 Herbin, Raphaèle 8 Kaya, Songul 8 Olshanskii, Maxim A. 8 Pasquetti, Richard 8 Shadid, John N. 8 Tabata, Masahisa 8 Valentin, Frédéric 8 Zheng, Haibiao 7 Antonić, Nenad 7 Auteri, Franco 7 Blackburn, Hugh M. 7 Bonito, Andrea 7 Braack, Malte 7 Duan, Huoyuan 7 Gawlik, Evan S. 7 Linke, Alexander 7 Massing, André 7 Neda, Monika 7 Nochetto, Ricardo Horacio 7 Reusken, Arnold 7 Ruiz-Baier, Ricardo 7 Vabishchevich, Pëtr Nikolaevich 7 Van Brummelen, Harald 7 Veneziani, Alessandro 7 Wang, Qi 7 Wong, Jeff Chak-Fu 7 Zunino, Paolo 6 Ainsworth, Mark 6 An, Rong 6 Araya, Rodolfo A. 6 Becker, Roland 6 Droniou, Jérôme 6 Goudon, Thierry 6 Gunzburger, Max D. 6 Hesthaven, Jan S. 6 Hiptmair, Ralf 6 Knobloch, Petr 6 Li, Jian 6 Margenov, Svetozar D. 6 Mei, Liquan 6 Nazarov, Murtazo 6 Nore, Caroline 6 Ovall, Jeffrey S. 6 Ragusa, Jean C. 6 Rankin, Richard 6 Saavedra, Laura 6 Serre, Eric 6 Shang, Yueqiang 6 Tobiska, Lutz 6 Tomas, Ignacio 6 Vexler, Boris 6 Vohralík, Martin 6 Wall, Wolfgang A. 6 Wang, Zhu 6 Xu, Chuanju 6 Zahedi, Sara 5 Achchab, Boujemaa 5 Allery, Cyrille 5 Angot, Philippe ...and 2,560 more Authors
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#### Cited in 194 Serials

 262 Journal of Computational Physics 194 Computer Methods in Applied Mechanics and Engineering 100 Journal of Scientific Computing 90 Computers and Fluids 65 Computers & Mathematics with Applications 60 SIAM Journal on Numerical Analysis 58 Numerische Mathematik 57 Mathematics of Computation 57 Journal of Computational and Applied Mathematics 57 SIAM Journal on Scientific Computing 47 Applied Numerical Mathematics 47 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 37 Journal of Fluid Mechanics 34 Numerical Methods for Partial Differential Equations 29 International Journal for Numerical Methods in Fluids 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Applied Mathematics and Computation 22 Journal of Mathematical Analysis and Applications 15 Computational Methods in Applied Mathematics 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Advances in Computational Mathematics 12 International Journal for Numerical Methods in Engineering 11 Physics of Fluids 11 Archives of Computational Methods in Engineering 10 Computational Mechanics 10 Numerical Algorithms 10 Applied Mathematical Modelling 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics Letters 9 SMAI Journal of Computational Mathematics 7 International Journal of Heat and Mass Transfer 7 Calcolo 7 Japan Journal of Industrial and Applied Mathematics 7 International Journal of Computer Mathematics 6 Mathematical Problems in Engineering 6 European Journal of Mechanics. B. Fluids 6 S$$\vec{\text{e}}$$MA Journal 5 BIT 5 Journal of Differential Equations 5 Mathematics and Computers in Simulation 5 Chinese Annals of Mathematics. Series B 5 Communications in Numerical Methods in Engineering 5 Computational and Applied Mathematics 5 International Journal of Numerical Methods for Heat & Fluid Flow 5 Computational Geosciences 5 Nonlinear Analysis. Real World Applications 5 SIAM Journal on Imaging Sciences 4 International Journal of Engineering Science 4 Journal of Mathematical Fluid Mechanics 4 Foundations of Computational Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics and Computing 4 Multiscale Modeling & Simulation 4 Acta Mechanica Sinica 4 Evolution Equations and Control Theory 3 Journal of Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Theoretical and Computational Fluid Dynamics 3 Meccanica 3 Applied Mathematics and Mechanics. (English Edition) 3 Mathematical and Computer Modelling 3 Applications of Mathematics 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Non-Newtonian Fluid Mechanics 3 Numerical Linear Algebra with Applications 3 International Journal of Computational Fluid Dynamics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Matematicheskoe Modelirovanie 3 Journal of Numerical Mathematics 3 Central European Journal of Mathematics 3 Acta Numerica 3 Inverse Problems and Imaging 3 Advances in Numerical Analysis 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 Journal of Engineering Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Results in Mathematics 2 Physica D 2 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Computational Optimization and Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 2 Combustion Theory and Modelling 2 Communications on Pure and Applied Analysis 2 Analysis and Applications (Singapore) 2 Journal of Hyperbolic Differential Equations 2 Boundary Value Problems 2 Networks and Heterogeneous Media 2 International Journal for Numerical Methods in Biomedical Engineering 2 Communications in Applied and Industrial Mathematics 2 East Asian Journal on Applied Mathematics ...and 94 more Serials
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#### Cited in 39 Fields

 1,226 Numerical analysis (65-XX) 1,116 Fluid mechanics (76-XX) 605 Partial differential equations (35-XX) 146 Mechanics of deformable solids (74-XX) 61 Optics, electromagnetic theory (78-XX) 45 Classical thermodynamics, heat transfer (80-XX) 40 Biology and other natural sciences (92-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 34 Geophysics (86-XX) 30 Statistical mechanics, structure of matter (82-XX) 20 Functional analysis (46-XX) 19 Operator theory (47-XX) 16 Approximations and expansions (41-XX) 12 Probability theory and stochastic processes (60-XX) 11 Ordinary differential equations (34-XX) 11 Systems theory; control (93-XX) 9 Real functions (26-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral equations (45-XX) 8 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Computer science (68-XX) 5 Astronomy and astrophysics (85-XX) 4 Quantum theory (81-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Integral transforms, operational calculus (44-XX)

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