Late update: Aug, 2022

Books

A. ERN AND J.-L. GUERMOND, Finite Elements I, Approximation and interpolation, Texts in Applied Mathematics, Vol. 72 (2021) 313 p., Springer-Verlag, New York.

A. ERN AND J.-L. GUERMOND, Finite Elements II, Galerkin approximation, elliptic and mixed PDEs, Texts in Applied Mathematics, Vol. 73 (2021) 474 p., Springer-Verlag, New York.

A. ERN AND J.-L. GUERMOND, Finite Elements III, First-Order and Time-Dependent PDEs, Texts in Applied MathematicsSpringer, Vol. 74 (2021) 405 p., Springer-Verlag, New York.

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.

Articles in refereed Journals

2024

M. CREFF, H. FALLER, B. DUBRULLE, J.-L. GUERMOND, C. NORE, Tracking dynamo mechanisms from local energy transfers: Application to the von Kármán sodium dynamo, Physics of Plamas, 31, 022306 (2024), (Reprint)

J.-L. GUERMOND, M. NAZAROV, B. POPOV, Finite element-based invariant-domain preserving approximation of hyperbolic systems: Beyond second-order accuracy in space, Computer Methods in Appl. Math. and Engin. Volume 418, Part A, 1 January 2024, 116470 (Reprint)

2023

A. ERN, J.-L. GUERMOND, The discontinuous Galerkin approximation of the grad-div and curl-curl operators in first-order form is involution-preserving and spectrally correct, SIAM SINUM, 61 6 (2023) 2940--2966.

A. ERN, J.-L. GUERMOND, Invariant-domain-preserving high-order time stepping: II. IMEX Schemes schemes, SIAM J. Sci. Comput., 5 (2023) A2511-A2538. (Reprint)

B. CLAYTON, J.-L. GUERMOND, M. MAIER, B. POPOV, E. TOVAR, Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state, J. Comput. Phys., 478, 2023, 111926, 21 pages. (Reprint)

Z. DONG, A. ERN, J.-L. GUERMOND, Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence, Comptes Rendus Mathématique 361 (G4), (2023) 723-736 (Reprint).

J.-L. GUERMOND, B. POPOV, L. SAAVEDRA, Second-order invariant domain preserving ALE approximation of Euler equations, Communications on Applied Mathematics and Computation, 5 (2), (2023) 923--945

2022

A. ERN, J.-L. GUERMOND, Invariant-domain-preserving high-order time stepping: I. Explicit Runge-Kutta schemes, SIAM J. Sci. Comput., 5 (2022) A3366-A3392 (Reprint)

B., CLAYTON, J.-L. GUERMOND, B. POPOV, Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State, SIAM J. Sci. Comput., 44, 1 (2022) 444-470 (Reprint)

J.-L. GUERMOND, C. KEES, B. POPOV, E. TOVAR, Well-balanced Second-Order Convex Limiting Technique for Solving the Serre–Green–Naghdi Equations, Water Waves  4 (2022) 409--445, (Reprint)

J.-L. GUERMOND, C. KEES, B. POPOV, E. TOVAR, Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography, J. Comput. Phys., 450 (2022) 110809. (Reprint).

J.-L. GUERMOND, M. KRONBICHLER, M. MAIER, B. POPOV, I. TOMAS, On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier--Stokes equations, Comput. Methods. Appl. Mech. Engrg. (2021), 114250. (Reprint)

2021

R. ZANELLA; C. NORE; X. MININGER; F. BOUILLAUT, J.-L. GUERMOND, Numerical Study of Cooling by Ferrofluids in an Electrical Transformer using an Axisymmetric Model, IEEE Transactions on Magnetics, (2021) 10.1109/TMAG.2021.3066412. (Reprint)

A.C. NORE, L. CAPPANERA, J.-L. GUERMOND, T. WEIER, and W. HERREMAN, Feasibility of Metal Pad Roll Instability Experiments at Room Temperature, Phys. Rev. Lett., 126, 184501. (Reprint)

ERN, J.-L.GUERMOND, Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity, Foundations of Computational Mathematics, (2021), doi.org/10.1007/s10208-021-09527-7. (Reprint).

W. HERREMAN, C. Nore, J.-L. GUERMOND, Efficient mixing by the swirled electrovortex flow in liquid metal batteries, J. Fluid Mech., 915 (2021) A17. (Reprint)

H. FALLER, D. GENESTE, T. CHAABO, A. CHEMINET, V. VALORI, Y. OSTOVAN , L. CAPPANERA, CH. CUVIER, F. DAVIAUD, J.-M. FOUCAUT, J.-L. GUERMOND, J.-PH. LAVAL, C. NORE, V. PADILLA, C. WIERTEL, B. DUBRULLE, On the nature of intermittency in a turbulent von Karman flow, J. Fluid Mech., 914 (2021) A2. (Reprint)

J.-L.GUERMOND, M. MAIER, B. POPOV, I. TOMAS, Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations, Comput. Methods Applied Mech. Engin., 375 (2021) 113608. (Reprint).

L. CAPPANERA, P. DEBUE, H. FALLER, D. KUZZAY, E.-W. SHAW, C. NORE, J.-L.GUERMOND, F. DAVIAU, D, C. WIERTEL-GASQUET, B. DUBRULLE, Turbulence in realistic geometries with moving boundaries: when simulations meet experiments, Computers and Fluids, 214, 10475 (2021). (Reprint)


2020

W. HERREMAN, S. BENARD, C. NORE, P. PERSONNATZ, L. CAPPANERA, J.-L.GUERMOND, Solutal buoyancy and electrovortex flow in liquid metal batteries, Phys. Rev. Fluids, 5, 074501 (2020). (Reprint)

J.-L.GUERMOND, B. POPOV, J. RAGUSA, Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation, SIAM J. Numer. Anal., 58 1, (2020) 519--540. (Reprint)

J.-L.GUERMOND, B. POPOV, LAURA SAAVEDRA, Second-order invariant domain preserving ALE approximation of hyperbolic systems,
J. Comput. Phys., 401, (2020), 108927 (Reprint)

S.N. EL DINE, X. MININGER, C. NORE, R. ZANELLA, F. BOUILLAULT, J.-L. GUERMOND, Impact of Magnets on Ferrofluid Cooling Process: Experimental and Numerical Approaches, IEEE Transactions on Magnetics, 56 1 (2020) 7502404. (Reprint)

2019

W. HERREMAN, C. NORE, P.Z. Ramos, L. CAPPANERA,  J.-L.GUERMOND, N. WEBER, Numerical simulation of electrovortex flows in cylindrical fluid layers and liquid metal batteries, Phys. Rev. Fluids, 4 (2019) 113702 (Reprint)

J.-L.GUERMOND, B. POPOV, E. TOVAR, C. KEES, Robust explicit relaxation technique for solving the Green-Naghdi equations,  J. Comput. Phys. 399 (2019)  108917,  (Reprint)

W. HERREMAN, C. NORE, J.-L. GUERMOND, L. CAPPANERA, N. WEBER, G.M HORSTMANN,  Perturbation theory for metal pad roll instability in cylindrical reduction cells, J. Fluid Mech., 878 (2019) 598--646. (Reprint)

J.-L.GUERMOND,  Ch. KLINGENBERG, B. POPOV, I. TOMAS, The Suliciu Approximate Riemann Solver Is Not Invariant Domain Preserving, J. Hyperbolic Differential Equations, 16:01 (2019) 50--72. (Reprint).

J.-L.GUERMOND, P. MINEV,  High-order time adaptive time stepping for the incompressible Navier-Stokes equations, SIAM  J. Sci. Comput. 41 2 (2019) A770--A788. (Reprint).

J.-L.GUERMOND, B. POPOV, IGNACIO TOMAS, Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems, Comput. Methods Applied Mech. Engin., 347 (2019) 143–175. (Reprint).

J.-L.GUERMOND, B. POPOV, LAURA SAAVEDRA, YONG YANG, Arbitrary Lagrangian-Eulerian Finite Element Method Preserving Convex Invariants of Hyperbolic Systems, in Contributions to Partial Differential Equations and Applications, Chetverushkin, B. N., Fitzgibbon, W., Kuznetsov, Y.A., Neittaanmaki, P., Periaux, J., Pironneau, O., Eds., Springer International Publishing, (2019) 251--272, (Reprint).

2018

J.-L.GUERMOND, M. QUEZADA de LUNA, B. POPOV, C. KEES, M. FARTHING, Well-balanced second-order finite element approximation of the shallow water equations with friction, SIAM, J. Sci. Comput., 40:6 (2018) A3873--A3901. (Reprint).

J.-L.GUERMOND, M. NAZAROV, B. POPOV, I. TOMAS, Second-order invariant domain preserving approximation of the Euler equations using convex limiting, (supplementary), SIAM J. Sci. Comput., 40  5 (2018) A3211--A3239, (Reprint) and (supplemetary material),

C. NORE,  D. CASTANON QUIROZ, LOIC CAPPANERA, J.-L. GUERMOND, Numerical simulation of the Von-Karman-Sodium dynamo experiment, J. Fluid Mech., 854 (2018) 10 November 2018, 164--195, (Reprint),

R. ZANELLA, C. NORE, F. BOUILLAULT, J-L.GUERMOND, X. MININGER, Influence of thermomagnetic convection and ferrofluid thermophysical properties on heat transfers in a cylindrical container heated by a solenoid, Journal of Magnetism and Magnetic Materials, 429 (2018) 52–63, (Reprint).

A. ERN, J.-L. GUERMOND, Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions, Computers and Mathematics with Applications, https://doi.org/10.1016/j.camwa.2017.10.017, (2018) 1--15 (Reprint).

L. CAPPANERA, J.-L. GUERMOND, W. HERREMAN, C. NORE, Momentum-based approximation of incompressible multiphase fluid flows, Int. J. Numer. Fluids, 86 (2018) 541--563, DOI: 10.1002/fld.4467, (Reprint).

RAPHAEL ZANELLA, CAROLINE NORE, FREDERIC BOUILLAUT, LOIC CAPPANERA, IGNACIO TOMAS, XAVIER MINIGER, and JEAN-LUC GUERMOND, Study of Magnetoconvection Impact on a Coil Cooling by Ferrofluid with a Spectral/Finite-Element Method, IEEE Transactions on Magnetics, 54:3 460014, DOI: 10.1109/TMAG.2017.2749539, (Reprint).

2017

P. AZERAD, J.-L. GUERMOND, B. POPOV, Well-balanced second-order approximation  of the shallow water equation with continuous finite elements, SIAM J. Numer. Anal. 55:6 (2017)  3203--3224 (Reprint).

J.-L.GUERMOND, B. POPOV, Invariant domains and second-order continuous finite element approximation for scalar conservation equations,  SIAM J. Numer. Anal. 55 6 (2017) 3120--3146, (Reprint).

A. ERN, J.-L. GUERMOND, Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell’s Equations, Comput. Methods Appl. Math., https://doi.org/10.1515/cmam-2017-0058, (2017) 1--25 (Reprint).

A. ERN, J.-L. GUERMOND, Finite element quasi-interpolation and best approximation, Math. Mod. Numer. Anal., M2AN, 51 4 (2016) 1367--1385 (Reprint).

J.-L.GUERMOND, M. QUEZADA de LUNA, T. THOMPSON, A conservative anti-diffusion technique for the level set method, J. Comput. Appl. Math., 321 (2017) 448–468, (Reprint).

J.-L.GUERMOND, B. POPOV, LAURA SAAVEDRA, YONG YANG, Invariant domains preserving Arbitrary Lagrangian Eulerian approximation of hyperbolic systems with continuous finite elements, SIAM J. Sci. Comput., 39 2 (2017) A385--A414, (Reprint).

J.-L.GUERMOND, B. POPOV, YONG YANG, The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations, Journal of Scientific Computing, 70(3) (2017) 1358--1366, (Reprint).

J.-L.GUERMOND, P. MINEV, High-order time stepping for the Navier-Stokes equations with minimal computational complexity, Journal of Computational and Applied Mathematics, 310 (2017) 92--103 (Reprint) (Arxiv).

2016

A. ERN, J.-L. GUERMOND, A converse to Fortin's Lemma in Banach spaces, C. R. Acad. Sci. Paris, 354 11 (2016), 1092--1095. (Reprint).

A. ERN, J.-L. GUERMOND Chapter 11 - Linear Stabilization for First-Order PDEsHandbook of Numerical Methods for Hyperbolic Problems: Basic and Fundamental Issues,  (R. Abgrall and C.-W. Shu, Editors) Elsevier, 17 (2016) 265-288. (Reprint).

J.-L.GUERMOND, B. POPOV, Invariant domains and first-order continuous finite element approximation for hyperbolic systems,  (Reprint) SIAM J. Numer. Anal., 54 4 (2016) 2466--2489, (Arxiv).

J.-L.GUERMOND, B. POPOV, Fast estimation of the maximum wave speed in the Riemann problem for the Euler equations, J. Comput. Phys., 321 (2016) 908--926, (Reprint) (Arxiv).

C. NORE, D. CASTANON QUIROZ, L. CAPPANERA, J.-L.GUERMOND, Direct numerical simulation of the axial dipolar dynamo in the Von-Karman-Sodium experiment, Euro. Phys. Letters, 114 (2016) 65002 (Reprint).

L. CAPPANERA, J.-L.GUERMOND, J. LEORAT, C. NORE, Two spinning ways for precession dynamo, Phys. Rev. E, 93, 4, (2016)  043113. (Reprint).

A. BONITO, J.-L.GUERMOND, F. LUDDENS, An Interior Penalty Method with C0 Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity, Math. Modelling and Numer. Anal. (M2AN) 50 5 (2016) 1457--1489, http://dx.doi.org/10.1051/m2an/2015086, (Reprint) (Arxiv).

A. ERN, J.-L. GUERMOND, Mollification in strongly Lipschitz domains with application to continuous and discrete De Rham complex, Computational Methods in Applied Mathematics,Volume 16, Issue 1, (2016) 51-75. (Reprint) (Arxiv).

J.-L. GUERMOND, B. POPOV, V. TOMOV, Entropy–viscosity method for the single material Euler equations in Lagrangian frame, Computer Methods in Appl. Math. And Engin., 300 (2016) 402-426. (Reprint).

J.-L. GUERMOND, B. POPOV, Error estimates of a first-order Lagrange finite element technique for nonlinear scalar conservation equations, SIAM J. Numer. Anal., 54:1 (2016) 57-85. (Reprint).

A. BONITO, J.-L. GUERMOND, S. LEE, Simulations of bouncing jets, Int. J. Numer. Methods Fluids, 80 (2016) 53-75. (Reprint).

H. ZAIDI, F. BOUILLAUT, C. NORE, A. BOSSAVIT, J.-L. GUERMOND, Approximation of the time-dependent induction equation with advection using Whitney elements: application to dynamo action, COMPEL – The international journal for computation and mathematics in electrical and electronic engineering 35:1, (2016) 326-338. (Reprint).

H. MATSUI, et al., Performance benchmarks for a next generation numerical dynamo model, Geochemistry, Geophysics, Geosystems, Volume 17, Issue 5 May 2016, Pages 1586–1607. (Reprint).

2015

J.-L.GUERMOND, P. MINEV, High-order Time Stepping for the Incompressible Navier-Stokes equations, SIAM J. Sci. Comput.,37(6) (2015) A2656-A2681. (Reprint)

W. HERREMAN, C. NORE, L. CAPPANERA, J.-L. GUERMOND, Tayler instability in liquid metal columns and liquid metal batteries, Journal of Fluid Mechanics, 771 (2015) 79-114, (Reprint).

C. NORE, D. CASTANON QUIROZ, J.-L. GUERMOND, J. LEORAT, F. LUDDENS, Numerical dynamo action in cylindrical containers, Eur. Phys. J. Appl. Phys. (2015) 70:31101, (Reprint).

J.-L. GUERMOND, A. LARIOS, T. THOMPSON, Validation of an entropy-viscosity model for large eddy simulation, Direct and Large Eddy-Eddy Simulation IX, ECOFTAC Series Volume 20, (2015) 43-48. (Reprint).

C. NORE, J. LEORAT, J.-L.GUERMOND, A. GIESECKE, Mean-field model of the von Kármán sodium dynamo experiment using soft iron impellers, Physical Review E, 91 013008  (2015) 1-12 (Reprint).

R. PASQUETTI, J.-L. GUERMOND, B. POPOV, Stabilized spectral element approximation of the Saint Venant system using the entropy viscosity technique, Int. Conf. on Spectral and High Order Methods (ICOSAHOM 2014), Lecture Notes in Computational Science and Engineering, Vol. 106 Springer International Publishing, (2015) 397-404. (Reprint).

2014

J.-L. GUERMOND, M. NAZAROV, B. POPOV,Y. YANG, ,A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations SIAM, J. Numer. Anal., 52:4 (2014) 2163--2182. (Reprint).

J.-L.GUERMOND, B. POPOV, Viscous regularization of the Euler equations and entropy principles, SIAM J. Appl. Math., 74 2 (2014) 284-305. (Reprint).

J.-L.GUERMOND, M.NAZAROV, A maximum-principle preserving C0 finite element method for scalar conservation equations, Computer Methods in Appl. Math. and Engin., 272 (2014) 198–213. (Reprint).

P. MARTI, N. SCHAEFFER, R. HOLLERBACH, D. CEBRON, C. NORE, F. LUDDENS, J.-L. GUERMOND, J. AUBERT, S. TAKEHIRO, Y. SASAKI, Y.-Y. HAYASHI, R. SIMITEV, F. BUSSE, S. VANTIEGHEM, A. JACKSON, Full sphere hydrodynamic and dynamo benchmarks, Geophysical Journal International, 197 (2014), 119-134. (Reprint).

A. JACKSON, A. SHEYKO, P. MARTI, A. TILGNER, D. CEBRON, S. VANTIEGHEM, R. SIMITEV, F. BUSSE, X. ZHAN, G. SCHUBERT, S. TAKEHIRO, Y. SASAKI, Y.-Y. HAYASHI, A. RIBEIRO, C. NORE, and J.-L. GUERMOND, A spherical shell numerical dynamo benchmark with pseudo-vacuum magnetic boundary conditions, Geophysical Journal International, 196 (2014) 712-723. (Reprint).

A. BONITO, J.-L. GUERMOND, B. POPOV, Stability Analysis of the Explicit Entropy Viscosity Method for Scalar Non-Linear Conservation Laws, Mathematics of Computation, 83 287 (2014) 1039-1062. (Reprint).

J.-L. GUERMOND, G. KANSCHAT, J.C. RAGUSA, Discontinuous Galerkin methods for the radiative transport equation, in Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 2012 John H Barrett Memorial Lectures Series, The IMA Volumes in Mathematics and its Applications, Vol. 157, Vol. 157, Feng, Xiaobing; Karakashian, Ohannes; Xing, Yulong (Eds.), Springer (2014), 181-193. (Reprint).

J.-L. GUERMOND, B. POPOV, Entropy viscosity for the Euler equations and questions regarding parabolic regularization, Hyperbolic Problems: Theory, Numerics, Applications, Proceedings of HYP2012, American Institute of Mathematical Sciences, Vol. 8 (2014) 119-124. (Reprint).

2013

A. BONITO, J.-L. GUERMOND, F. LUDDENS, Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains, J. Math. Anal. Appl., 408 (2013) 498–512. (Reprint).

T. GORNAK, J.-.L. GUERMOND, O. ILIEV, P. MINEV,  A Direction Splitting Approach For Incompressible Brinkman Flow, International J. Numer. Anal. Modelling, Series B, 4:1 (2013) 1-13. (Reprint).

A. ERN, J.-.L. GUERMOND, Weighting the edge stabilization, SIAM J. Numer. Anal., 51:3 (2013) 1655-1677. (Reprint),

J.-.L. GUERMOND, J. LEORAT, F. LUDDENS, C. NORE, Remarks on the stability of the Navier-Stokes equations supplemented with stress boundary conditions, European Journal of MechanicsB/Fluids, 39 (2013) 1-10. (Reprint).

V. ZINGAN, J.-.L. GUERMOND, J. MOREL, B. POPOV, Implementation of the entropy viscosity method with the Discontinuous Galerkin Method, Compter. Methods in Appl. Math. and Engin.,  253 (2013) 479-490. (Reprint).

J.-.L. GUERMOND, R. PASQUETTI, A correction technique for the dispersive effects of mass lumping for transport problems, Compter. Methods in Appl. Math. and Engin., 253 (2012)  186-198. (Reprint).

2012

C. NORE, J.-.L. GUERMOND, R. LAGUERRE, J. LEORAT, F. LUDDENS, Nonlinear dynamo in a short Taylor-Couette setup, Physics of Fluids, 24, 094106 (2012). (Reprint).

J.-.L. GUERMOND, P. MINEV, Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm, Int. J. Numer. Methods Fluids  68 (2012) 856–871. (Reprint).

A. GIESECKE, C. NORE, F. PLUNIAN, F. STEFANI, G. GERBERTH, J. LEORAT, W. HERREMAN, F. LUDDENS, J.-L. GUERMOND, Influence of high-permeability discs in an axisymmetric model of the Cadarache dynamo experiment, New Journal of Physics 14 (2012) 053005. (Reprint).

J.-L. GUERMOND, P.D. MINEV, A.J. SALGADO, Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations, Mathematics of Computation, 81 (2012) 1951-1977. (Reprint).

J.C. RAGUSA, J.-L. GUERMOND, G. KANSCHAT, A robust SN-DG-approximation for radiation transport in optically thick and diffusive regimes, Journal of Computational Physics, 231, 4, (2012), 1947-1962. (Reprint).

2011

J.-L. GUERMOND, R. PASQUETTI, B. POPOV, From suitable weak solutions to entropy viscosity, Journal of Scientific Computing, 49 (2011) 35-50. (Reprint).

C. NORE, J. LEORAT, J.-.L. GUERMOND, F. LUDDENS, Nonlinear dynamo action in a precessing cylindrical container, Phys. Rev. E, 84, (2011) 016317 1-7 (Reprint).

J.-.L. GUERMOND, A. SALGADO, Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density, SIAM J. Numer. Anal., 49:3 (2011) 917--944. (Reprint).

J.-.L. GUERMOND, A. SALGADO, A note on the Stokes operator and its powers, J. Appl. Math. Comput, (2010), 36:1 (2011), 241-250. (Reprint).

J.-L. GUERMOND, J. LEORAT, F. LUDDENS, C. NORE, A. RIBEIRO, Effects of discontinuous magnetic permeability on magnetodynamic problems, J. Comput. Phys., 230 (2011) 6299-6319, (Reprint).

A. BONITO, J.-.L. GUERMOND, Approximation of the Eigenvalue Problem for the Time Harmonic Maxwell System by Continuous Lagrange Finite Elements, Math. Comp., 80 (2011), 1887-1910. (Reprint).

J.-.L. GUERMOND, P. MINEV, A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 200 (2011) 2083-2093 (Reprint).

J.-.L. GUERMOND, R. PASQUETTI, B. POPOV, Entropy viscosity method for nonlinear conservation laws, J. Comput. Phys., 230 (2011) 4248-4267. (Reprint).

J.-.L. GUERMOND, R. PASQUETTI, Entropy viscosity method for high-order approximations of conservation laws, Lecture Notes in Computational Science and Engineering, Springer, Volume 76, (2011) 411-418. (Reprint).

2010

A. GIESECKE, C. NORE, F. PLUNIAN, F. STEFANI, G. GERBERTH, J. LEORAT, F. LUDDENS, J.-L. GUERMOND, Electromagnetic induction in non-uniform domains, Geophysical & Astrophysical Fluid Dynamics, 104:5-6 (2010) 505-529. (Reprint).

J.-.L. GUERMOND, P. MINEV, A new class of fractional step techniques for the incompressible Navier–Stokes equations using direction splitting, C. R. Acad. Sci. Paris, Ser. I, 348 (2010) 581–585. (Reprint).

V. DOBREV, J.-.L. GUERMOND, B. POPOV, Surface reconstruction and image enhancement via L1-minimization, SIAM J. Sci. Comput., 32:3 (2010) 1591-1616. (Reprint).

A. GIESECKE, C. NORE, F. PLUNIAN, R. LAGUERRE, A. RIBERO, F. STEFANI, G. GERBERTH, J. LEORAT, J.-L. GUERMOND, Generation of axi-symmetric modes in cylindrical kinematic mean-field dynamos of VKS type, Geophysical & Astrophysical Fluid Dynamics, 104:2-3 (2010) 249-271. (Reprint).

J.-.L. GUERMOND, G. KANSCHAT, Asymptotic analysis of upwind DG approximation of the radiative transport equation in the diffusive limit, SIAM J. Numer. Anal., 48:1 (2010) 53--78 (Reprint).

2009

J.-L. GUERMOND, The LBB condition in fractional Sobolev spaces and applications, IMA Journal of Numerical Analysis, 29 (2009) 790-805. (Reprint).

J.-.L. GUERMOND, B. POPOV, An Optimal L1-Minimization Algorithm for Stationnary Hamilto-Jacobi EquationsCommun. Math. Sci. 7:1 (2009), 211-238 (Reprint).

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. (Reprint).

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. (Reprint).

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 (Reprint).

2008

J-L. GUERMOND, J. PASCIAK, Stability of Discrete Stokes operators in fractional Sobolev Spaces, Journal of Mathematical Fluid Mechanics, 10 (2008) 588-610. (Reprint).

J.-L. GUERMOND, B. POPOV,  L1-Approximation of Stationary Hamilton–Jacobi EquationsSIAM  J. Numer. Anal. 47:1 (2008) 339-362. (Reprint).

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. (Reprint).

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. (Reprint).

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. (Reprint).

B. BEJANO V, J.-.L. GUERMOND, P. MINEV, A grid-alignment finite element technique for incompressible multicomponent flows, Comput. Phys., 227 (2008) 6473–6489. (Reprint).

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. (Reprint).

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  (Reprint).

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. G
UERMOND,  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 Appliquees85 (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.

Reviewed Proceedings in Conferences

2015

J.-.L. GUERMOND, A. LARIOS, T. THOMPSON, Validation of an entropy-viscosity model for large eddy simulation, Direct and Large Eddy-Eddy Simulation IX, ECOFTAC Series Volume 20, (2015) 43-48. (Reprint)

2011

J.-.L. GUERMOND, R. PASQUETTI, B. POPOV, From suitable weak solutions to entropy viscosity, Quality and Reliability of Large-Eddy Simulations II, ERCOFTAC Series, 1, Volume 16, (2011) Part 3, 373—390.

2010

J.-.L. GUERMOND, R. PASQUETTI, B. POPOV, Entropy viscosity for conservation equations, Proceedings of the V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, J. C. F. Pereira, A. Sequeira and J. M. C. Pereira (Eds) Lisbon, Portugal,14-17 June 2010, ISBN: 978-989-96778-1-4

2008

R. LAGUERRE, C. NORE, J. LEORAT, J.-.L. GUERMOND, Cyclic nonlinear dynamo action in a finite Taylor Couette flow, Proceedings of 15TH International Couette-Taylor Workshop, Le Havre Univ., Le Havre, France, Jul 09-12, 2007, Mutabazi I; Crumeyrolle O, (Eds), Journal of Physics Conference Series, 137, (2008) 12019--12019,

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. E
RN,  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. G
UERMOND, 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

D
ENIS 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. G
UERMOND, 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. B
EN 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, 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. B
OVIS, 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. G
UERMOND, 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.

Conferences

2007
J.-L. G
UERMOND, 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. D
IPIETRO, 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, 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. G
UERMOND, S. PRUDHOMME, A definition for Large Eddy Simulation of incompressible viscous flows ECCOMAS 2004, Jyväskylä, Finland on 24 - 28 July (2004).

2003
J.-.L. G
UERMOND, 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. G
UERMOND 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
N
ORE 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. G
UERMOND, 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. C
ORTIS, 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. G
UERMOND, 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. F
IRDAOUSS, 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. A
UCHER, 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.

 Reports

A. ERN, J.-.L. GUERMOND, Discontinuous Galerkin methods for Friedrichs' systems. Part II. Second-order elliptic PDE's, ISC-05-08-MATH, (2005).

A. E
RN, 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. E
RN, J.-.L. GUERMOND, Discontinous galerkin methods for Friedrichs' symmetric systems. I. General Therory, ISC-05-02-MATH, (2005).

J.-.L. G
UERMOND, Nonstandard nonconforming approximation of the strokes problem, I: Periodic boundary conditions, ISC-05-01-MATH, (2005).

A. E
RN, J.-.L. GUERMOND, Evaluation of the condition number in linear systems arising in finite element approximations ISC-04-12-MATH


J.-.L. G
UERMOND, P. Minev, and J. Shen, An overview of projection methods for incompressible flows ISC-04-13-MATH

J.-.L. G
UERMOND, 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.