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ORCIDJean-Luc Guermond
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2020 – today
- 2024
[j59]Fleurianne Bertrand, Daniele Boffi, Alexander Düster, Jean-Luc Guermond, Norbert Heuer, Jichun Li, Waldemar Rachowicz:
Innovative discretizations of PDEs: Towards an accurate representation of the reality. Comput. Math. Appl. 176: 221-223 (2024)- [j58]Jean-Luc Guermond
, Matthias Maier, Bojan Popov, Laura Saavedra, Ignacio Tomas:
First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System. J. Sci. Comput. 100(2): 46 (2024) - [j57]Alexandre Ern, Jean-Luc Guermond, Zuodong Wang:
Asymptotic and Invariant-Domain Preserving Schemes for Scalar Conservation Equations with Stiff Source Terms and Multiple Equilibrium Points. J. Sci. Comput. 100(3): 83 (2024) - [i8]Jean-Luc Guermond, Matthias Maier, Eric Tovar:
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations. CoRR abs/2403.17123 (2024) - [i7]Melvin Creff, Jean-Luc Guermond:
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations. CoRR abs/2407.01783 (2024) - 2023
- [j56]Bennett Clayton, Jean-Luc Guermond, Matthias Maier, Bojan Popov, Eric J. Tovar:
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state. J. Comput. Phys. 478: 111926 (2023) - [j55]Alexandre Ern, Jean-Luc Guermond:
The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct. SIAM J. Numer. Anal. 61(6): 2940-2966 (2023) - [j54]Alexandre Ern, Jean-Luc Guermond:
Invariant-Domain Preserving High-Order Time Stepping: II. IMEX Schemes. SIAM J. Sci. Comput. 45(5): 2511- (2023) - [i6]Jean-Luc Guermond, Matthias Maier, Bojan Popov, Laura Saavedra, Ignacio Tomas:
Greedy invariant-domain preserving approximation for hyperbolic systems. CoRR abs/2310.01713 (2023) - 2022
- [j53]Alexandre Ern, Jean-Luc Guermond:
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity. Found. Comput. Math. 22(5): 1273-1308 (2022) - [j52]Jean-Luc Guermond, Chris E. Kees, Bojan Popov, Eric Tovar:
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography. J. Comput. Phys. 450: 110809 (2022) - [j51]Bennett Clayton, Jean-Luc Guermond, Bojan Popov:
Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State. SIAM J. Sci. Comput. 44(1): 444- (2022) - [j50]Alexandre Ern, Jean-Luc Guermond:
Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes. SIAM J. Sci. Comput. 44(5): 3366- (2022) - [i5]Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond:
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence. CoRR abs/2201.01708 (2022) - [i4]Bennett Clayton, Jean-Luc Guermond, Matthias Maier, Bojan Popov, Eric J. Tovar:
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state. CoRR abs/2207.12832 (2022) - 2021
- [i3]Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris E. Kees:
Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography. CoRR abs/2103.01286 (2021) - [i2]Jean-Luc Guermond, Martin Kronbichler, Matthias Maier, Bojan Popov, Ignacio Tomas:
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. CoRR abs/2106.02159 (2021) - 2020
- [j49]Jean-Luc Guermond, Bojan Popov, Laura Saavedra:
Second-order invariant domain preserving ALE approximation of hyperbolic systems. J. Comput. Phys. 401 (2020) - [j48]Jean-Luc Guermond, Bojan Popov, Jean C. Ragusa:
Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation. SIAM J. Numer. Anal. 58(1): 519-540 (2020) - [i1]Jean-Luc Guermond, Matthias Maier, Bojan Popov, Ignacio Tomas:
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. CoRR abs/2009.06022 (2020)
2010 – 2019
- 2019
- [j47]Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris E. Kees:
Robust explicit relaxation technique for solving the Green-Naghdi equations. J. Comput. Phys. 399 (2019) - [j46]Jean-Luc Guermond, Peter D. Minev:
High-Order Adaptive Time Stepping for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 41(2): A770-A788 (2019) - 2018
- [j45]Alexandre Ern, Jean-Luc Guermond:
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Comput. Math. Appl. 75(3): 918-932 (2018) - [j44]Alexandre Ern, Jean-Luc Guermond:
Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations. Comput. Methods Appl. Math. 18(3): 451-475 (2018) - [j43]Jean-Luc Guermond, Murtazo Nazarov, Bojan Popov, Ignacio Tomas:
Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting. SIAM J. Sci. Comput. 40(5): A3211-A3239 (2018) - [j42]Jean-Luc Guermond, Manuel Quezada de Luna, Bojan Popov, Christopher E. Kees, Matthew W. Farthing:
Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction. SIAM J. Sci. Comput. 40(6): A3873-A3901 (2018) - 2017
- [j41]Jean-Luc Guermond, Peter D. Minev:
High-order time stepping for the Navier-Stokes equations with minimal computational complexity. J. Comput. Appl. Math. 310: 92-103 (2017) - [j40]Jean-Luc Guermond, Manuel Quezada de Luna, Travis B. Thompson:
An conservative anti-diffusion technique for the level set method. J. Comput. Appl. Math. 321: 448-468 (2017) - [j39]Jean-Luc Guermond, Bojan Popov, Yong Yang:
The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations. J. Sci. Comput. 70(3): 1358-1366 (2017) - [j38]Jean-Luc Guermond, Bojan Popov:
Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations. SIAM J. Numer. Anal. 55(6): 3120-3146 (2017) - [j37]Pascal Azérad, Jean-Luc Guermond, Bojan Popov:
Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements. SIAM J. Numer. Anal. 55(6): 3203-3224 (2017) - [j36]Jean-Luc Guermond, Bojan 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) - 2016
- [j35]Alexandre Ern, Jean-Luc Guermond:
Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes. Comput. Methods Appl. Math. 16(1): 51-75 (2016) - [j34]Jean-Luc Guermond, Bojan Popov:
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. J. Comput. Phys. 321: 908-926 (2016) - [j33]Jean-Luc Guermond, Bojan Popov:
Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations. SIAM J. Numer. Anal. 54(1): 57-85 (2016) - [j32]Jean-Luc Guermond, Bojan Popov:
Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems. SIAM J. Numer. Anal. 54(4): 2466-2489 (2016) - 2015
- [j31]Jean-Luc Guermond, Peter D. Minev:
High-Order Time Stepping for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 37(6) (2015) - 2014
- [j30]Andrea Bonito, Jean-Luc Guermond, Bojan Popov:
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Math. Comput. 83(287): 1039-1062 (2014) - [j29]Jean-Luc Guermond, Bojan Popov:
Viscous Regularization of the Euler Equations and Entropy Principles. SIAM J. Appl. Math. 74(2): 284-305 (2014) - [j28]Jean-Luc Guermond, Murtazo Nazarov, Bojan Popov, Yong Yang:
A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations. SIAM J. Numer. Anal. 52(4): 2163-2182 (2014) - 2013
- [j27]Alexandre Ern, Jean-Luc Guermond:
Weighting the Edge Stabilization. SIAM J. Numer. Anal. 51(3): 1655-1677 (2013) - [c2]Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee:
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping. ENUMATH 2013: 623-631 - 2012
- [j26]Jean C. Ragusa, Jean-Luc Guermond, Guido Kanschat:
A robust SN-DG-approximation for radiation transport in optically thick and diffusive regimes. J. Comput. Phys. 231(4): 1947-1962 (2012) - [j25]Jean-Luc Guermond, Peter D. Minev, Abner J. Salgado:
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Math. Comput. 81(280): 1951-1977 (2012) - 2011
- [j24]Jean-Luc Guermond, Richard Pasquetti, Bojan Popov:
Entropy viscosity method for nonlinear conservation laws. J. Comput. Phys. 230(11): 4248-4267 (2011) - [j23]Jean-Luc Guermond, Jacques Léorat, Francky Luddens, Caroline Nore, Adolfo Ribeiro:
Effects of discontinuous magnetic permeability on magnetodynamic problems. J. Comput. Phys. 230(16): 6299-6319 (2011) - [j22]Jean-Luc Guermond, Richard Pasquetti, Bojan Popov:
From Suitable Weak Solutions to Entropy Viscosity. J. Sci. Comput. 49(1): 35-50 (2011) - [j21]Andrea Bonito, Jean-Luc Guermond:
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Math. Comput. 80(276): 1887-1910 (2011) - [j20]Jean-Luc Guermond, Abner J. Salgado:
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. SIAM J. Numer. Anal. 49(3): 917-944 (2011) - 2010
- [j19]Jean-Luc Guermond, Guido Kanschat:
Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit. SIAM J. Numer. Anal. 48(1): 53-78 (2010) - [j18]Veselin Dobrev, Jean-Luc Guermond, Bojan Popov:
Surface Reconstruction and Image Enhancement via L1-Minimization. SIAM J. Sci. Comput. 32(3): 1591-1616 (2010)
2000 – 2009
- 2009
- [j17]Jean-Luc Guermond, Raphael Laguerre, Jacques Léorat, Caroline Nore:
Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method. J. Comput. Phys. 228(8): 2739-2757 (2009) - [j16]Jean-Luc Guermond, Abner J. Salgado:
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. J. Comput. Phys. 228(8): 2834-2846 (2009) - 2008
- [j15]Boyan Bejanov, Jean-Luc Guermond, Peter D. Minev:
A grid-alignment finite element technique for incompressible multicomponent flows. J. Comput. Phys. 227(13): 6473-6489 (2008) - [j14]Jean-Luc Guermond, Jie Shen, Xiaofeng Yang:
Error analysis of fully discrete velocity-correction methods for incompressible flows. Math. Comput. 77(263): 1387-1405 (2008) - [j13]Jean-Luc Guermond, Bojan Popov:
L1-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. Numerische Mathematik 109(2): 269-284 (2008) - [j12]Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity. SIAM J. Numer. Anal. 46(2): 776-804 (2008) - [j11]Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. SIAM J. Numer. Anal. 46(2): 805-831 (2008) - [j10]Jean-Luc Guermond, Bojan Popov:
L1-Approximation of Stationary Hamilton-Jacobi Equations. SIAM J. Numer. Anal. 47(1): 339-362 (2008) - [c1]Veselin Dobrev, Jean-Luc Guermond, Bojan Popov:
Surface Reconstruction via L1-Minimization. NAA 2008: 32-43 - 2007
- [j9]Jean-Luc Guermond, Raphael Laguerre, Jacques Léorat, Caroline Nore:
An interior penalty Galerkin method for the MHD equations in heterogeneous domains. J. Comput. Phys. 221(1): 349-369 (2007) - 2006
- [j8]Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory. SIAM J. Numer. Anal. 44(2): 753-778 (2006) - [j7]Alexandre Ern, Jean-Luc Guermond:
Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs. SIAM J. Numer. Anal. 44(6): 2363-2388 (2006) - 2005
- [j6]Jean-Luc Guermond, Peter D. Minev, Jie Shen:
Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions. SIAM J. Numer. Anal. 43(1): 239-258 (2005) - 2004
- [j5]Jean-Luc Guermond, Jie Shen:
On the error estimates for the rotational pressure-correction projection methods. Math. Comput. 73(248): 1719-1737 (2004) - [j4]Jean-Luc Guermond:
A Finite Element Technique for Solving First-Order PDEs in Lp. SIAM J. Numer. Anal. 42(2): 714-737 (2004) - 2003
- [j3]Jean-Luc Guermond, Jie Shen:
Velocity-Correction Projection Methods for Incompressible Flows. SIAM J. Numer. Anal. 41(1): 112-134 (2003) - 2000
- [j2]Yves Achdou, Jean-Luc Guermond:
Convergence Analysis of a Finite Element Projection/Lagrange-Galerkin Method for the Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 37(3): 799-826 (2000)
1990 – 1999
- 1998
- [j1]Jean-Luc Guermond, Luigi Quartapelle:
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Numerische Mathematik 80(2): 207-238 (1998)
Coauthor Index
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