Late update: March 30, 2009
A. ERN AND J.-L. GUERMOND, Theory and Practice of Finite Elements, Springer Series in Applied Mathematical Sciences, Vol. 159 (2004) 530 p., Springer-Verlag, New York,
A. ERN, J.-L. GUERMOND, Éléments Finis, Springer Series in Mathématiques & Applications Vol. 36 (2002) 360 p., SMAI/Springer-Verlag, Paris.
2009
J.-L. GUERMOND, The LBB condition in fractional Sobolev spaces and applications, IMA Journal of Numerical Analysis, 29 (2009) 790-805.
J.-.L. GUERMOND, B. POPOV, An Optimal L1-Minimization Algorithm for Stationnary Hamilto-Jacobi Equations, Commun. Math. Sci. 7:1 (2009), 211-238
J.-.L. GUERMOND, A. SALGADO, A splitting method for incompressible flows with variable density based on a pressure Poisson, J. Comput. Phys., 228 (2009) 2834–2846.
J.-.L. GUERMOND, R. LAGUERRE, J. LEORAT, C. NORE, Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method, J. Comput. Phys., 228 (2009) 2739–2757.
V. DOBREV, J.-L. GUERMOND, B. POPOV, Surface Reconstruction via L1-Minimization, S. Margenov, L.G. Vulkov, and J. Wasniewski (Eds.): NAA 2008, Springer Berlin/Heidelberg, LNCS 5434 (2009), 32-43
2008
J-L. GUERMOND, J. PASCIAK, Stability of Discrete Stokes operators in fractional Sobolev Spaces, Journal of Mathematical Fluid Mechanics, 10 (2008) 588-610.
J.-L. GUERMOND, B. POPOV, L1-Approximation of Stationary Hamilton–Jacobi Equations, SIAM J. Numer. Anal. 47:1 (2008) 339-362.
R. LAGUERRE, C. NORE, A. RIBERO, J. LEORAT, J.-L. GUERMOND, F. PLUNIAN, Impact of impellers on the axisymmetric magnetic mode in the VKS2 dynamo experiment, Physics Review Letters, 101:10 (2008) 104501.
J.-.L. GUERMOND, On the use of the notion of suitable weak solutions in CFD, Int. J. Numer. Meth. Fluids, 57 (2008) 1153-1170.
J.-.L. GUERMOND, A. SALGADO, A Fractional Step Method Based on a Pressure Poisson Equation for Incompressible Flows with Variable Density, C. R. Acad. Sci., Ser. I, 346 (2008) 913-918.
J.-.L. GUERMOND, R. PASQUETTI, Entropy-based nonlinear viscosity for Fourier approximations of conservation laws, C. R. Acad. Sci., Ser. I, 346 (2008) 801—806.
B. BEJANO V, J.-.L. GUERMOND, P. MINEV, A grid-alignment finite element technique for incompressible multicomponent flows, Comput. Phys., 227 (2008) 6473–6489.
DANIELE A. DI PIETRO, A. ERN, J.-.L. GUERMOND, Discontinuous Galerkin Method For Anisotropic Semidefinite Diffusion with Advection, SIAM Numer. Anal., 46:2 (2008) 805-831.
J.-.L. GUERMOND, J.
SHEN, X. YANG
.Error
Analysis of Fully Discrete Velocity-Correction Methods for
Incompressible Flows, Math. Comp.,
77:263 (2008)
1387-1405.
J.-.L. GUERMOND,
B POPOV,
L1-minimization
methods for Hamilton–Jacobi equations: the one-dimensional case,
Numer. Math., 109
(2008) 269-284.
J.-.L. GUERMOND, S. PRUDHOMME, A Fully Discrete Non-Linear Galerkin Method For the 3D Navier-Stokes Equations, Numer. Methods for PDEs, 24:3 (2008) 759-775.
A. ERN, J.-.L. GUERMOND, Discontinuous Galerkin Methods for Friedrichs' systems, Part III. Multifield Theories with partial coercivity. SIAM J. Numer. Anal., 46:2, (2008) 776--804.
J.-.L. GUERMOND, F. MARPEAU, B. POPOV, A Fast Algorithm for Solving First-Order PDEs by L1 Minimization, Commun. Math. Sci., 6:1 (2008) 199-216.
2007
J-L. GUERMOND, Faedo-Galerkin weak solutions of the Navier--Stokes equations with Dirichlet boundary conditions are suitable, Journal de Mathematiques Pures et Appliquees, 88(2007) 87-106.
A. ERN, J.-L. GUERMOND, G CAPLAIN, An Intrinsic Criterion for the Bijectivity of Hilbert Operators Related to Friedrichs’ Systems, Communication in PDEs, 32 (2007) 317-341.
J.-L. GUERMOND, B.
POPOV, Linear
advection with ill-posed boundary conditions via L1-minimization,
International Journal of Numerical Analysis
and Modeling, 4:1
(2007) 39-47.
J.-L. GUERMOND,
R. LAGUERRE, , J. LEORAT, C.
NORE, An
Interior Penalty Galerkin Method for the MHD equations in
heterogeneous domains, J. Comput. Phys.,
221 (2007) 349--369.
2006
R. LAGUERRE, C. NORE,
J. LEORAT, J.-L. GUERMOND,
Effects
of conductivity jumps in the envelope of a kinematic dynamo flow,
C. R. Mecanique, 334:10 (2006) 593-598.
A. ERN, J.-L. GUERMOND, Discontinuous Galerkin Methods for Friedrichs' systems. II. Second-Order PDES, SIAM J. Numer. Anal., 44:6, (2006) 2363--2388.
A. ERN, J.-L. GUERMOND, Discontinuous Galerkin Methods for Friedrichs' systems. I. General theory, SIAM J. Numer. Anal., 44:2, (2006) 753--778.
J.-L. GUERMOND, Fluid Mechanics: Numerical Methods. In Ecyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber, and Tsou S.T. Oxford: Elsevier, (2006) (ISBN 978-0-1251-2666-3), volume 2, 365--374.
J.-L. GUERMOND, P. MINEV, J. SHEN, An Overview of Projection methods for incompressible flows, Computer Methods in Applied Mechanics and Engineering, 195 (2006) 6011--6045.
J.-L. GUERMOND, A. MARRA, L. QUARTAPELLE, Subgrid stabilized projection method for 2D unsteady flows at high Reynolds number, Computer Methods in Applied Mechanics and Engineering, 195 (2006) 5857--5876.
A. ERN, J.-.L. GUERMOND, Evaluation of the condition number in linear systems arising in finite element approximations, Model. Math. Anal. Numer. (M2AN), 40:1 (2006) 29--48.
J.-L. GUERMOND, Finite-element-based Faedo-Galerkin weak solutions to the Navier--Stokes equations in the three-dimensional torus are suitable, Journal de Mathematiques Pures et Appliquees, 85 (2006) 451--464.
2005
J.-L. GUERMOND, Les
solutions faibles limites d'approximations de Galerkin par elements
finis sont appropriees dans le tore en dimension trois, C. R.
Acad. Sci. Paris, Serie I, 341 8 (2005) 491--496.
B. BEJANOV, J.-.L. GUERMOND, P. MINEV, A locally DIV-free projection scheme for incompressible flow based on non-conforming finite elements, International Journal for Numerical Methods in Fluids, 49:5 (2005) 549--568
J.-L. GUERMOND, S. PRUDHOMME, On the construction of suitable solutions to the Navier–Stokes equations and questions regarding the definition of large eddy simulation, Physica D., 207 (2005) 64-78.
J.-L. GUERMOND, Nonstandard nonconforming approximation of the Stokes problem, I: Periodic boundary conditions, International Journal of Numerical Analysis & Modeling, 2:3 (2005) 345--354.
J.-L. GUERMOND, P. MINEV, J. SHEN, Error analysis of pressure-correction schemes for the Navier-Stokes equations with open boundary conditions, SIAM J. Numer. Anal., 43 1 (2005) 239--258.
2004
A. ERN, J.-.L. GUERMOND,
Accurate numerical simulation
of radiative transfer with application to crystal growth,
International Journal for Numerical Methods in Egineering
61 (2004) 559-583.
J.-L. GUERMOND, JIE SHEN, On the error estimates for the rotational pressure-correction projection methods, Math. of Comp., 73 248 (2004), 1719-1737.
J.-L. GUERMOND, A finite element technique for solving first order PDE's in Lp, SIAM J. Numer. Anal. 42 2 (2004) 714--737.
J.-L. GUERMOND, J.T. ODEN, S. PRUDHOMME, Mathematical perspectives on Large Eddy Simulation models for turbulent flows , J. Math. Fluid Mech., 6 (2004) 194-248.
2003
J. ZHU, J.-L. GUERMOND,
A.F.D. LOULA, L. QUARTAPELLE,
3D vector
Poisson problem with a triplet of intrinsic scalar boundary
conditions, M3AS, 13 12 (2003) 1725-1743.
J.-L. GUERMOND, S. PRUDHOMME, Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows, M2AN, 37 6 (2003) 893-908.
J.-L. GUERMOND AND J. SHEN, A New Class of Truly Consistent Splitting Schemes for Incompressible flows, J. Comput. Phys. 192 (2003) 262-276.
J. L. GUERMOND, J. LEORAT, C. NORE, A new Finite Element Method for magneto-dynamical problems: two-dimensional results, Eur. J. Mech./Fluids 22 (2003) 555-579.
J.-L. GUERMOND, P. MINEV, Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 3D case, Numerical Methods for Partial Differential Equations, 19 6 (2003) 709-731.
A. CORTIS, J.-.L. GUERMOND, D.M.J. SMEULDERS, Influence of pore roughness on high-frequency permeability, Phys. Fluids 15 6 (2003), 1766-1775.
J.-L. GUERMOND, P. MINEV, Analysis of a projection/characteristic scheme for incompressible flow, Comm. Numer. Methods Engin., 19 7 (2003) 535-550.
J.-L. GUERMOND, JIE SHEN, Velocity-correction projection methods for incompressible flows, SIAM J. Numer. Anal., 41 1 (2003) 112-134
J.-L. GUERMOND, J.T. ODEN, S. PRUDHOMME, An interpretation of the Navier Stokes-alpha model as a frame-indifferent Leray regularization, Physica D, 177 (2003) 23-30.
2002
J.-L. GUERMOND, P. MINEV,
Mixed finite elements
Approximation of a 2D MHD problem using Lagrange mixed finite
elements, Modél. Math. Anal. Numér., 36 3 (2002)
517-536.
J.-L. GUERMOND, C. MIGEON, G. PINEAU, AND L. QUARTAPELLE, Start-up flows in a 3D rectangular cavity of aspect ratio 1:1:2 at Re = 1000, J. fluid Mech., (2002) 450, 169-199 .
2001
J.-L. GUERMOND, J. SHEN,
Quelques résultats nouveaux
sur les méthodes de projection, C. R. Acad. Sci. Paris,
Série I, 333 (2001) 1111-1116.
F. AUTERI, J.-L. GUERMOND, N. PAROLINI, Role of the LBB condition in weak spectral projection methods, J. Comput. Phys., 174 (2001) 405-420.
Y. FRAIGNEAU, J.-L. GUERMOND, L. QUARTAPELLE, Approximation of variable density incompressible flows by means of finite elements and finite volumes, Commun. Numer. Meth. Engng. 17 (2001) 893-902.
J.-L. GUERMOND, Subgrid stabilization of Galerkin approximations of linear contraction semi-groups of class C0 in Hilbert spaces, Numerical Methods for Partial Differential Equations (2001) 17, 1-25.
J.-L. GUERMOND, Subgrid stabilization of Galerkin approximations of monotone operators, IMA J. Numer. Anal. 21 (2001) 165-197.
2000
J.-L. GUERMOND, L.
QUARTAPELLE, A
projection FEM for variable density incompressible flows, J.
Comput. Phys. 165 (2000) 167-188.
Y. ACHDOU, J.-L. GUERMOND, Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations, SIAM J. Numer. Anal., 37 3 (2000) 799-826.
J.-L. GUERMOND, L. QUARTAPELLE, Weak approximation of the omega-psi equations with explicit viscous diffusion, M3AS, 10 1 (2000) 85-98.
J.-L. GUERMOND, H.Z. LU, A domain decomposition method for simulating advection dominated, external incompressible viscous flows, Computers & Fluids, 29 5 (2000) 525-546.
J.-L. GUERMOND, L. QUARTAPELLE, J. ZHU, On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions, Modél. Math. Anal. Numér., 34 1 (2000) 183-200.
1999
J.-L. GUERMOND, Subgrid
stabilization of Galerkin approximations of linear contraction
semi-groups of class C0, Comput. Visual. Sci., 2
(1999) 131-138.
J.-L. GUERMOND, Stabilization of Galerkin approximations of transport equations by subgrid modeling, Modél. Math. Anal. Numér., 33 6 (1999) 1293-1316.
J.-L. GUERMOND, Subgrid stabilizations of Galerkin approximations of monotone operators, Special issue of Zeitschrift für angewandte Mathematik und Mechanik, GAMM 1998, ZAMM, 79 Suppl. 1 (1999), S29-S32.
M. FIRDAOUSS, J.-L. GUERMOND, D. LAFARGE, D.M.J. SMEULDERS, Sound propagation in gas-filled rigid framed porous media: effect of cusped pore geometries, Bollettino di geofisica, 40 (1999) 80-81.
J.-L. GUERMOND, Subgrid stabilization of Galerkin approximations of monotone operators, C. R. Acad. Sci. Paris, Série I, 328 7 (1999) 617-622.
A. ERN, J.-L. GUERMOND, L. QUARTAPELLE, Vorticity-Velocity Formulations of the Stokes Problem in 3D, Math. Meth. Appl. Sci., 22 6 (1999) 531-546.
J.-L. GUERMOND, Un résultat de convergence à l'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection, Modél. Math. Anal. Numér., 33 1 (1999) 169-189.
1998
J.-L. GUERMOND, L.
QUARTAPELLE, On
the approximation of the unsteady Navier-Stokes equations by finite
element projection methods, Numer. Math., 80
(1998) 207-238.
M. FIRDAOUSS, J.-L. GUERMOND, D. LAFARGE, Some remarks on the acoustic parameters of sharp-edged porous media, Int. J. Eng. Sci., 36 9 (1998) 1035-1046.
J.-L. GUERMOND, L. QUARTAPELLE, On stability and convergence of projection methods based on pressure Poisson equation, Int. J. Numer. Methods Fluids, 26 9 (1998) 1039-1053.
1997
J.-L. GUERMOND, A
convergence result for the approximation of the Navier-Stokes
equations by an incremental projection method, C. R. Acad.
Sci. Paris, Série I, 325 12 (1997) 1329-1332.
M. FIRDAOUSS, J.-L. GUERMOND, P. LE QUÉRÉ, Non linear corrections to Darcy's law at low Reynolds numbers, J. Fluid Mech., 343 (1997) 331-350.
J.-L. GUERMOND, L. QUARTAPELLE, On sensitive vector Poisson and Stokes problems, M3AS: Math. Mod. Meths. Appli. Sci. 7 5 (1997) 681-698.
J.-L. GUERMOND, L. QUARTAPELLE, Uncoupled omega-psi formulation for plane flows in multiply connected domains, M3AS: Math. Mod. Meths. Appli. Sci. 7 6 (1997) 731-767.
J.-L. GUERMOND, L. QUARTAPELLE, Calculation of incompressible viscous flows by an unconditionally stable projection FEM, J. Comput. Phys. 132 (1997) 12-33.
1996
J.-L. GUERMOND, Some
practical implementations of projection methods for Navier-Stokes
equations, Modél. Math. Anal. Numér., 30 (1996)
637-667.
1995
M. FIRDAOUSS, J.-L. GUERMOND,
Sur
l'homogénéisation des équations de Navier-Stokes à faible nombre
de Reynolds, C. R. Acad. Sci. Paris, Série I 320
(1995) 245-251.
1994
J.-L. GUERMOND, Sur
l'approximation des équations de Navier-Stokes par une méthode de
projection, C. R. Acad. Sci. Paris, Série I 319
(1994) 887-892.
J.-L. GUERMOND, Remarques sur les méthodes de projection pour l'approximation des équations de Navier-Stokes, Numer. Math. 67 (1994) 465-473.
J.-L. GUERMOND, Perturbations singulières des problèmes de point selle et préconditionnement du problème de Stokes, Modél. Math. Anal. Numér., 28 (1994) 357-374.
J.-L. GUERMOND, L. QUARTAPELLE, Equivalence of omega-velocity and omega-psi formulations of the time-dependent Navier-Stokes equations, Int. J. Numer. Methods Fluids 18 (1994) 471-487.
1993
J.-L. GUERMOND, S. HUBERSON,
W.Z. SHEN, Simulation
of 2D External viscous flows by means of a domain decomposition
method, J. Comput. Physics 108 2 (1993) 343-352.
1992
J.-L. GUERMOND, Numerical
quadratures for layer potentials over curved domains in R3,
SIAM J. Numer. Anal. 29 (1992) 1347-1369.
J.-L. GUERMOND, S. HUBERSON, W.Z. SHEN, Simulation des écoulements visqueux bidimensionels par une méthode de décomposition de domaines, C. R. Acad. Sci. Paris, Série II 314 (1992) 557-562.
1991
J.-L. GUERMOND, A. SELLIER,
Une
formulation par matrice d'influence des équations de Navier-Stokes
incompressibles en variables vitesse-tourbillon, C. R. Acad.
Sci. Paris, Série II 313 (1991) 1507-1512.
O. DAUBE, J.-L. GUERMOND, A. SELLIER, Sur la formulation vitesse-tourbillon des équations de Navier-Stokes en écoulement incompressible, C. R. Acad. Sci. Paris, Série II 313 (1991) 377-382.
J.-L. GUERMOND, S. FONTAINE, Une approximation de Galerkin discontinue de type h-p des écoulements potentiels, La Recherche Aérospatiale 4 (1991) 37-49.
J.-L. GUERMOND, A. SELLIER, A unified unsteady lifting-line theory, J. Fluid Mech. 229 (1991) 427-451.
1990
J.-L. GUERMOND, A generalized
lifting-line theory for curved and swept wings, J. Fluid Mech.
211 (1990) 497-513.
1989
J.-L. GUERMOND, Collocation
methods and lifting-surfaces, Eur. J. Mech., B/Fluids, 8
(1989) 283-305.
1988
J.-L. GUERMOND, Une nouvelle
approche des développements asymptotiques d'intégrales, C. R.
Acad. Sci. Paris, Série I 307 (1988) 881-886.
1987
J.-L. GUERMOND, A
systematic formula for the asymptotic expansion of singular
integrals, Z. Angew. Math. Phys. (ZAMP) 38 (1987)
717-729.
2006
J.-.L. GUERMOND, S.
PRUDHOMME, A
Reinterpretation of the Non-Linear Galerkin Method as a Large Eddy
Simulation Technique, in European Conference on Computational
Fluid Dynamics ECCOMAS CFD 2006, P. Wesseling, E. Onate and J.
Periaux (Eds), Egmoond aan Zee, The Netherlands, 5-8 September,
(2006).
J.-L. GUERMOND, R. LAGUERRE,
, J. LEORAT, C. NORE, A
Finite Element Interior Penalty Method for MHD in heterogeneous
domains, in European Conference on Computational Fluid
Dynamics ECCOMAS CFD 2006, P. Wesseling, E. Onate and J. Periaux
(Eds), Egmoond aan Zee, The Netherlands, 5-8 September, (2006).
A.
ERN, J.-.L. GUERMOND,
Discontinuous Galerkin
methods for Friedrichs' systems, in Numerical Mathematics and
Advanced Applications, Proceedings of ENUMATH 2005, 6th European
Conference on Numerical Mathematics and Advanced Applications, A.
Berudez de Castro, D. Gomez, P. Quintela, P. Salgado (Eds.),
Santiago de Compostela, Spain, July 2005, Springer-Verlag Berlin
Heidelberg (2006) 79--96.
J.-.L.GUERMOND, S. PRUDHOMME, Issues for a mathematical definition of LES, in Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2005, 6th European Conference on Numerical Mathematics and Advanced Applications, A. Berudez de Castro, D. Gomez, P. Quintela, P. Salgado (Eds.), Santiago de Compostela, Spain, July 2005, Springer-Verlag Berlin Heidelberg (2006) 796--804.
2005
A. CORTIS, SMEULDERS,
D.M.J., D. LAFARGE, and
J.-L. GUERMOND, Pore
Roughness Effects on Highfrequency Permeability, in Solid
mechanics and its applications, Volume 125, Jacques M.
Huyghe et al. (eds), IUTAM Proceedings on Physicochemical and
Electromechanical
Interactions in Porous Media, (2005) 53–60.
2003
J.L. GUERMOND AND P.D. MINEV
Approximation of an MHD problem using Lagrange finite elements,
ICM2002-Beijing Satellite Conference on Scientific Computing.
Current Trends in Scientific Computing Zhangxin (John) Chen,
Roland Glowinski and Kaitai Li (Eds.), Contemporary Mathematics,
Vol. 329 American Mathematical Society, Providence, RI
(2003) 131-138
J.-L. GUERMOND P.D. MINEV, Approximation of an MHD problem using Lagrange finite elements, ICM2002-Beijing Satellite Conference on Scientific Computing. Current Trends in Scientific Computing Zhangxin (John) Chen, Roland Glowinski and Kaitai Li (Eds.), Contemporary Mathematics, Vol. 329 American Mathematical Society, Providence, RI (2003) 131--138
2002
J.-.L. GUERMOND,
A subgrid viscosity method
for solving non-coercive PDE's in environmental science, in
Proceeding of Mathematical Problems in Environmental Science and
Engineering, A. Ern and Liu Weiping (eds.), Series in Contemporary
Applied Mathematics, Vol. 4, Higher Education Press,
Beijing, (2002), 1-40.
2001
LEORAT,
J., P. LALLEMAND, J. L. GUERMOND,
AND F. PLUNIAN,
Dynamo and Dynamics, a Mathematical Challenge, edited by P.
Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), (2001),
25-33.
A. CORTIS, SMEULDERS, D.M.J., D. LAFARGE, M. FIRDAOUSS, and J.-L. GUERMOND (1999). Geometry effects on sound in porous media, in IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials, held at the University of Stuttgart, Germany, September 5-10, 1999, Series: Solid Mechanics and Its Applications, Vol. 87 Ehlers, Wolfgang (Ed.) 2001, 448 p.
2000
J.-L. GUERMOND, Review of the
book efficient solvers for
incompressible flow problems: an algorithmic and computational
approach by S. Turek, Springer, Berlin, 1999, 352pp, in Eur.
J. Mech. B. Fluids 19 (2000) 317-318.
1998
DENIS
LAFARGE, MICHEL HENRY,
MOUAOUIA FIRDAOUSS, JEAN-LUC
GUERMOND, Sound propagation in gas-filled
rigid-framed porous media: General theory and new experimental and
numerical data, The Journal of the Acoustical Society of America
- May 1998 - Volume 103, Issue 5, p. 2882
J.-L. GUERMOND, L. QUARTAPELLE, FEM solution of the omega-psi equations with explicit viscous diffusion, in Proc. Computational Fluid Dynamics'98, ECCOMAS96, (Septembre 1998, Athène, Grèce), K.D. Papailiou, D. Tsahalis, J. Périaux, M. Pandolfi (Eds.), Wiley, Vol. 1 2 (1998) 1258-1263.
J.-L. GUERMOND, L. QUARTAPELLE, Second order finite element projection method for 3D flows, in Proc. 16th Int. Conf. Numer. Methods in Fluids (ICNMFD), (Juillet 1998, Arcachon, France) C.-H. Bruneau (Ed.), Springer-Verlag, LNP Vol. 515 (1998) 391-396,
1997
J.-L. GUERMOND, L.
QUARTAPELLE, Glowinski-Pironneau
method for 3D psi-omega equations, in Proc. Comput. Sci.
21th Century, Bristeau et al. (Eds.), Wiley, (1997) 280-291.
J.-L. GUERMOND, L. QUARTAPELLE, On incremental projection methods, in Proc. International Conference Navier-Stokes Equations: Theory and Numerial Methods, (Varenna (Italy), June 2-6, 1997). R. Salvi (Ed.), Pitman, Research Notes in Mathematics Series Vol. 388, (1998), 277-288.
1996
A. BEN ABDALLAH,
J.-L. GUERMOND, A
fully parallel mortar finite element projection method for the
solution of the unsteady Navier-Stokes equations, in Proc.
Computational Fluid Dynamics'96, ECCOMAS96, (Septembre 1996, Paris,
France) J.A. Désidéri, P. Letallec, E. Onate, J. Périaux, E.
Stein (Eds.), Wiley, (1996), 852-858.
J.-L. GUERMOND, L. QUARTAPELLE, Finite element solution of unsteady viscous flows past multiple airfoils, in Proc. 15th ICNMFD, (Juin 1996, Monterey, Californie). P. Kutler, J. Flores, J.-J. Chattot (Eds.), Springer-Verlag, LNP Vol. 490 (1997) 566-571,
M. FIRDAOUSS, J.-L. GUERMOND, D. LAFARGE, T. LEVY, Propagation du son dans un gaz saturant une structure poreuse : effets visco-thermiques, in Proc. SFT96, (Mai 1996, Valenciennes, France), B. Desnet, B. Baudoin, S. Lassue (Eds.), Elsevier, (1996) 184-190.
1995
J.-L. GUERMOND, L.
QUARTAPELLE, Unconditionally
stable Finite-Element Method for the unsteady Navier-Stokes
equations, in Proc. 9th International Conference on Finite
Element in Fluids, (Octobre 1995, Venise, Italie) M. Morandi Cecchi,
K. Morgan, J. Periaux, B.A. Schrefler, O.C. Zienkiewicz (Eds.), SM
legatoria - Padova, Vol. I, (1995) 367-376.
M. FIRDAOUSS, J.-L. GUERMOND, D. LAFARGE, O. PIRONNEAU, 1995, Propagation du son dans un gaz saturant une structure poreuse: effets thermiques, in Proc. SFT95, (Mai 1995, Poitiers, France) Revue Générale de Thermique, (1995)
1994
J.-L. GUERMOND, C. TENAUD
Error analysis and
numerical tests for the approximation of unsteady incompressible
viscous flow by means of projection methods, in Proc.
Computational Fluid Dynamics'94, ECCOMAS94, Wagner, Hirschel,
Périaux, Piva (Eds.), Wiley, (1994) 687-694.
J.-L. GUERMOND ET W.Z. SHEN A domain decomposition method for simulating 2D external viscous flows, n Proc. 6th International Conference on Domain Decomposition, (juin 1992, Como, Italie), A. Quarteroni, J. Périaux, Y.A. Kuznetsov, O.B. Windlud (Eds.), Contemporary Mathematics, A.M.S., Vol. 157 (1994) 463-467.
J.-L. GUERMOND, S. HUBERSON, W.Z. SHEN, Simulation of 2D external viscous flows by means of a domain decomposition method, in Proc. 13th International Conference on Numerical Methods in Fluid Dynamics (ICNMFD), (Juillet 1992, Rome, Italie) M. Napolitano, F. Sabetta, (Eds.), Springer-Verlag, LNP Vol. 414 (1994) 215-219,
J.-L. GUERMOND, Higher order quadrature for Layer potentials over curved domains, in Proc. ICOSAHOM 92, (Juin 1992, Montpellier, France), C. Bernardi, Y. Maday (Eds.), Comput. Meths. Appl. Mech. Engrg., 116 (1994) 257-263.
1988
J.-L. GUERMOND, About
collocation methods for marine propeller design., In Proc. 5th
Propeller Symposium of the Society of Naval Architects and Marine
Engineers, (Septembre 1988, Virginia Beach, USA), SNAME, Vol. S-8
(1988) 8.1-8.9.
1986
J.-L. GUERMOND, J.-M.
FORESTIER, M. DUPONT, A
Computer Aided Design procedure for marine propellers, in Proc.
International Conference on Computer Aided Design, Manufacture and
Operation in The Marine and Offshore Industries, CADMO 86,
(Septembre 1986, Washington DC, USA), G.A. Keramidas, T.K.S. Murthy
(Eds.), Springer-Verlag, (1986) 285-294.
A. BOVIS, J.-L. GUERMOND, Application of the unsteady lifting-line theory for a marine propeller in a non-uniform flow field, in Proc. International Symposium on Propellers and Cavitation, (Juin 1986, Wuxi, Chine Populaire), ISPC86 (1986) 17-25.
1985
A. BOVIS, C. CRANCE,
J.-L. GUERMOND, Efforts
hydrodynamiques fluctuants exercés sur une hélice de navire,
in Proc. Session annuelle de l'ATMA, (Avril 1985, Paris, France)
Bulletin ATMA, Vol. 85 (1985) 143-179.
1984
J.-L. GUERMOND, Méthode
de calcul automatique des caractéristiques principales de l'hélice
adaptée à un projet de navire. in Proc. Session annuelle de
l'ATMA, (Mai 1984, Paris, France), Bulletin ATMA, Vol. 84
(1984) 185-207.
2007
J.-L. GUERMOND,
Finite-Element-based Faedo-Galerkin weak solutions to the
Navier--Stokes equations with Dirichlet boundary conditions are
suitable, 113th Annual Meeting of the American Mathematical Society
(AMS), New-Orleans, January 5-8, (2007).
2006
D. DIPIETRO,
A. ERN, J.-L. GUERMOND,
Discontinuous Galerkin Methods for Friedrichs' systems, Eigth IMACS
Conference on Iterative Methods, November 15 - 17, (2006), College
Station, Texas.
J.-L. GUERMOND,
First-order PDE's in L1, (invited talk), Fifth International
Conference on Scientific Computing and Applications. Banff, Canada,
May 18 May 22, (2006).
J.-L. GUERMOND, On
the construction of suitable weak solutions to the incompressible
NSE, 29th Annual Texas Partial Differential Equations Conference,
Saturday and Sunday, March 25-26, 2006, University of Texas at
Arlington
J.-L. GUERMOND, B. POPOV,
Nonlinear finite element approximation of PDE's in L1, The 2006
Finite Element Rodeo, March 3-4, 2006, Texas A&M University.
2005
R. LAGUERRE, C. NORE , J. LEORAT
, J.-L. GUERMOND, Approximation of the
magneto-hydrodynamic equations with a new spectral-FEM method,
58th Annual Meeting of the Division of Fluid Dynamics of the APS,
Sunday--Tuesday, November 20--22, (2005); Chicago, IL.
J.-.L.
GUERMOND, Toward a Mathematical Definition of
LES in Fluid Mechanics, Minisymposium on Mathematical and
Computational Foundation of Multiscale Modeling, Eight U.S.
National Congress on Computational Mechanics, 24-28 July (2005),
Austin, TX.
R. LAGUERRE, C. NORE , J. LEORAT , J.-L. GUERMOND, Description des effets d'induction dans les ecoulements magneto-hydrodynamiques par la methode des elements finis. CFM 2005, XVII Congres Francais de Mecanique, 29 Aout 2 Septembre (2005), Troyes, France.
B. BEJANOV, J.-.L. GUERMOND,
P. MINEV, A locally Conservative Projection
Scheme for Free Boundary Problems,
Minisymposium on Novel
Computational Analyses of Moving Boundary Problems, Eight U.S.
National Congress on Computational Mechanics, 24-28 July (2005),
Austin, TX.
J.-.L. GUERMOND, Issues for a
mathematical definition of LES, Minisymposium on Multiscale
methods in computational fluid dynamics, ENUMATH2005, 18-22 July
(2005), Santiago De Compotela, Spain.
2004
J.-.L. GUERMOND, Mathematical
perpective in Large Eddy Simulation for turbulent flows, Institute
of Mathematical Sciences (IMS) at Singapore. Workshop:
"Development of Navier-Stokes Equations and Turbulence
Research" from 13 Dec 2004 to 16 Dec 2004,
Singapore.
J.-.L. GUERMOND, S. PRUDHOMME,
A definition for Large Eddy Simulation of incompressible viscous
flows ECCOMAS 2004, Jyväskylä, Finland on 24 - 28 July
(2004).
2003
J.-.L. GUERMOND, Large Eddy
Simulation of incompressible viscous flows, Oberwolfach workshop
on Mathematical Aspects of Computational Fluid Dynamics,
November 9-15, (2003), Obervolfach, Germany.
2002
J.L. GUERMOND Mathematical
analysis of Large Eddy simulation of the Navier-Stokes equations,
Invited Lecture for the Fourth Annual PIMS Fluid Dynamics Summer
School organized by the Pacific Institute for the mathematical
Sciences, Edmonton, Canada, July 28, August 9, (2002).
J.-L. GUERMOND AND P. MINEV, Approximatiom of an MHD problem using Lagrange finite elements, CM2002-Beijing, Satelite Conference of Scientific Computing, Aug. 15-18 (2002), Xian. China.
2001
NORE CAROLINE,
DAUBE OLIVIER, GUERMOND
JEAN-LUC, TUCKERMAN
LAURETTE, XIN, SHIHE,
Instability of flow between counter-rotating disks, in American
Physical Society, 54th Annual Meeting of the Division of Fluid
Dynamics November 18 - 20, 2001 San Diego, California Meeting ID:
DFD01, abstract #KL.011.
2000
J.-L. GUERMOND, Finite
Element approximation of nonlinear conservation problems,
Applied Mathematics for Industrial Flows, Second International
Conference, 12-14 October, (2000), Il Ciocco, Tuscany (Italy).
J.-L. GUERMOND, A short course on finite element approximation of transport equations, ISFMA, Syposium on Environmental Science and Engineering with related Mathematical Problems, Hangzhou, China, 19-26 August (2000).
J.-L. GUERMOND, L. QUARTAPELLE, A projection FEM for variable density incompressible flows, International Conference on Finite Element in Fluids, May (2000), Austin, USA
J.-L. GUERMOND, A two-level subgrid viscosity Finite Element method for nonlinear conservation problems, International Conference on Finite Element in Fluids, May (2000), Austin, USA
1999
A. CORTIS, M. FIRDAOUSS,
J.-L. GUERMOND, D. LAFARGE,
D.M.J. SMEULDERSGeometry effects on sound
in porous media, IUTAM, Symposium on Theoretical and Numerical
Methods in Continuum Mechanics of Porous Media, Stuttgart, Germany,
September 5-100, (1999).
J.-L. GUERMOND, D. HILHORST, I. NGNINGONE-EYA, N. RAMAROSY, Écoulement dans une fissure à parois rugueuses, Journée scientifiques de l'ANDRA, Nancy 7-9 Décembre (1999).
J.-L. GUERMOND Finite Element projection methods for the incompressible navier-Stokes equations, Incompressible Fluid Flows: Numerical Methods and Applications, Los Alamos, USA, April 12-14, (1999).
1998
J.-L. GUERMOND, Subgrid
stabilization of Galerkin approximations of linear contraction
semi-groups of class C0, in Proc. AMIF, Octobre (1998), San
feliu de Guixols, Espagne.
J.-L. GUERMOND, A stabilization result for transport equations by subgrid modelling, in Proc. GAMM98, Avril (1998), Brême, Allemagne.
1995
M. FIRDAOUSS, J.-L. GUERMOND,
Sur la correction non linéaire de la loi de Darcy pour les
écoulements en milieux poreux à faible nombre de Reynolds, in
Proc. Congrès International la Modélisation Mathématique des
Écoulements en Milieux Poreux, (Mai 1995, St-Etienne, France),
(1995).
1992
M. AZAIEZ, J.-L. GUERMOND,
Préconditionnement du problème de
Stokes, XXIVeme Congrès National d'Analyse Numérique,
Vittel (1992).
1986
M. AUCHER, J.-L. GUERMOND,
Calcul Rapide des gains de rendement possibles avec une nouvelle
hélice adaptée à une modification de la puissance d'un navire,
Colloque d'automne ATMA, Paris, 1986.
A.
ERN,
J.-.L. GUERMOND,
Discontinuous Galerkin methods for Friedrichs' systems. Part II.
Second-order elliptic PDE's,
ISC-05-08-MATH,
(2005).
A. ERN,
J.-.L. GUERMOND,
and G. CAPLAIN,
An intrinsic criterion for the bijectivity of Hilbert operators
related to Friedrichs' systems, ISC-05-07-MATH,
(2005).
A. ERN,
J.-.L. GUERMOND,
Discontinous galerkin methods for Friedrichs' symmetric systems. I.
General Therory, ISC-05-02-MATH,
(2005).
J.-.L. GUERMOND,
Nonstandard nonconforming approximation of the strokes problem, I:
Periodic boundary conditions, ISC-05-01-MATH,
(2005).
A. ERN,
J.-.L. GUERMOND,
Evaluation of the condition number in linear systems arising in
finite element approximations
ISC-04-12-MATH
J.-.L.
GUERMOND,
P. Minev, and J. Shen, An overview of projection methods for
incompressible flows ISC-04-13-MATH
J.-.L. GUERMOND, S.
PRUDHOMME,
A definition for large-eddy-simulation approximations of the
Navier-Stokes equations ISC-04-14-MATH
J.-.L. GUERMOND, S. PRUDHOMME, Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows, TICAM Report 03-11.
J.-L. GUERMOND, P. MINEV, AND J. SHEN, Error Analysis of Pressure-Correction Schemes for the Navier-Stokes Equations with Open Boundary Conditions, TICAM Report 03-08.
J.-L. GUERMOND AND J. SHEN, A New Class of Truly Consistent Splitting Schemes for Incompressible flows, TICAM Report 03-07.
Jiang ZHU, J.-.L. GUERMOND, Abimael F.D. LOULA, and Luigi QUARTAPELLE, 3D Vector Poisson Problem with a Triplet of Intrinsic Scalar Boundary Conditions, TICAM Report 03-05.
J. L. GUERMOND, J. LEORAT, C. NORE, A new Finite Element Method for magneto-dynamical problems: two-dimensional results, TICAM Report 03-01.
J.-.L. GUERMOND, A Finite Element Technique for Solving First-Order PDE's in L1, TICAM Report 02-35.
J.-.L. GUERMOND, J.T. ODEN, AND S. PRUDHOMME, Mathematical Perspectives on Large Eddy Simulation Models for Turbulent Flows, TICAM Report 02-22.
J.-.L. GUERMOND, JIE SHEN, On the error estimates for the rotational pressure-correction projection methods, TICAM report 2002-09.
J.-.L. GUERMOND, JIE SHEN, Velocity-correction projection methods for incompressible flows, TICAM report 2002-10.
J.-.L. GUERMOND, P. MINEV, Mixed Finite Element Approximation of an MHD Problem Involving Conducting and Insulating Regions: the 2D Case, TICAM report 2002-10.
J.-.L. GUERMOND, P. MINEV, Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 3D case, TICAM report 2002-11.
A. ERN, J.-.L. GUERMOND, Accurate numerical simulation of radiative transfer with application to crystal growth, Rapport CERMICS 2001-208.
J.-L. GUERMOND, L. QUARTAPELLE, A projection FEM for variable density incompressible flows, Document LIMSI 99-16.
A. ERN, J.-L. GUERMOND, 1997, Éléments finis, Cours de l'Ecole Nationale des Ponts et Chaussées, Octobre 1998, 170 pages.
J.-L. GUERMOND, Stabilisation par viscosité de sous-maille pour l'approximation de Galerkin de opérateurs monotones, Partie II, Document LIMSI 98-03.
J.-L. GUERMOND, Stabilization of Galerkin approximations of transport equations by subgrid modeling, Partie I, Document LIMSI 98-01.
A. ERN, J.-L. GUERMOND, 1997, Éléments finis, Cours de l'Ecole Nationale des Ponts et Chaussées, Octobre 1997, 120 pages.
J.-L. GUERMOND, 1997, Éléments d'Analyse Numérique, 5eme Ecole de printemps de Mécanique des Fluides Numériques, , O. Daube P. Le Quéré, organisateurs, Lalonde-les-Maures (25-31 Mai), 108 pages.
J.-L. GUERMOND, L. QUARTAPELLE, 1997, On stability and convergence of projection methods based on pressure Poisson equation, Document LIMSI 97-06.
J.-L. GUERMOND, Un résultat de convergence à l'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection, Document LIMSI 97-05.
Y. ACHDOU, J.-L. GUERMOND, 1996, Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations, Document LIMSI 96-19
J.-L. GUERMOND, L. QUARTAPELLE, 1996, On sensitive vector Poisson and Stokes problems, Document LIMSI 96-08.
J.-L. GUERMOND, L. QUARTAPELLE, 1995, Uncoupled psi-omega formulation for plane flows in multiply connected domains, Document LIMSI 95-27.
M. FIRDAOUSS, J.-L. GUERMOND, P. LE QUÉRÉ, Corrections non linéaires à la loi de Darcy, Document LIMSI 95-16.
J.-L. GUERMOND, L. QUARTAPELLE, 1995, On the approximation of the unsteady Navier-Stokes equations by finite element projection methods, Document LIMSI 95-14.
J.-L. GUERMOND, 1995, Notions de base d'analyse numérique des équations de Navier-Stokes, 4eme Ecole de printemps de Mécanique des Fluides Numériques, Carcan-Maubuisson, O. Daube, P. Le Quéré, organisateurs, 72 pages.
J.-L. GUERMOND, L. QUARTAPELLE, 1995, Analyse de convergence d'une approximation par éléments finis et méthode de projection pour les équations de Navier-Stokes instationnaires, Document LIMSI 95-14.
J.-L. GUERMOND, L. QUARTAPELLE, 1995, Approximation inconditionnellement stable par éléments finis et méthode de projection pour les équations de Navier-Stokes instationnaires, Document LIMSI 95-06.
J.-L. GUERMOND, 1994, Quelques implémentations pratiques des méthodes de projection pour les équations de Navier-Stokes instationnaires, Document LIMSI 94-07.
J.-L. GUERMOND, 1993, Approximation des équations de Navier-Stokes instationnaires par des méthodes de projection, Document LIMSI 93-30.
J.-L. GUERMOND, L. QUARTAPELLE, 1993, Equivalence of u-p and omega-psi formulations of the time-dependent Navier-Stokes equations, Document LIMSI 93-11.
J.-L. GUERMOND, 1993, Introduction à l'approximation numérique des équations de Navier-Stokes, 3eme Ecole de printemps de Mécanique des Fluides Numériques, Carcan-Maubuisson, O. Daube, P. Le Quéré, S. Candel, organisateurs, 56 pages.
J.-L. GUERMOND, 1992, Perturbations singulières des problèmes de Point selle et préconditionnement du problème de Stokes, Document LIMSI 92-13.
J.-L. GUERMOND, S. HUBERSON, W.Z. SHEN, 1991, Simulation of 2D external viscous flows by means of a domain decomposition Method, Document LIMSI 91-9.
J.-L. GUERMOND, 1991, Quadrature numériques pour les potentiels de couche distribués sur des variétés régulières de dimension 2 dans R3, Document LIMSI 91-8.
J.-L. GUERMOND, S. FONTAINE, 1990, Une approximation de Galerkin discontinue de type h-p des écoulements potentiels, Document LIMSI 90-15.
J.-L. GUERMOND, 1985, Théorie asymptotique de la ligne portante instationnaire appliquée à l'hélice marine, Thèse D.I., ENSTA-Paris VI.