Jean-Luc Guermond

74 papers Journal 72Unranked 2
YearRankTypeTitle / Venue / Authors
2026 J jnl
Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I.
CoRR
Jean-Luc Guermond, Eric J. Tovar
2025 J jnl
Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations.
J. Comput. Phys.
Jean-Luc Guermond, Zuodong Wang
2025 J jnl
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations.
Comput. Math. Appl.
Melvin Creff, Jean-Luc Guermond
2025 J jnl
Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell's Equations with Discontinuous Coefficients.
SIAM J. Numer. Anal.
Alexandre Ern, Jean-Luc Guermond
2025 J jnl
Third-Order Sectorially A-Stable Alternating Implicit Runge-Kutta Schemes.
SIAM J. Sci. Comput.
Alexandre Ern, Jean-Luc Guermond
2024 J jnl
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations.
CoRR
Jean-Luc Guermond, Matthias Maier, Eric Tovar
2024 J jnl
Asymptotic and Invariant-Domain Preserving Schemes for Scalar Conservation Equations with Stiff Source Terms and Multiple Equilibrium Points.
J. Sci. Comput.
Alexandre Ern, Jean-Luc Guermond, Zuodong Wang
2024 J jnl
First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System.
J. Sci. Comput.
Jean-Luc Guermond, Matthias Maier, Bojan Popov, Laura Saavedra, Ignacio Tomas
2024 J jnl
Innovative discretizations of PDEs: Towards an accurate representation of the reality.
Comput. Math. Appl.
Fleurianne Bertrand, Daniele Boffi, Alexander Düster, Jean-Luc Guermond, Norbert Heuer, Jichun Li, Waldemar Rachowicz
2024 J jnl
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations.
CoRR
Melvin Creff, Jean-Luc Guermond
2023 J jnl
Greedy invariant-domain preserving approximation for hyperbolic systems.
CoRR
Jean-Luc Guermond, Matthias Maier, Bojan Popov, Laura Saavedra, Ignacio Tomas
2023 J jnl
Invariant-Domain Preserving High-Order Time Stepping: II. IMEX Schemes.
SIAM J. Sci. Comput.
Alexandre Ern, Jean-Luc Guermond
2023 J jnl
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state.
J. Comput. Phys.
Bennett Clayton, Jean-Luc Guermond, Matthias Maier, Bojan Popov, Eric J. Tovar
2023 J jnl
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.
Alexandre Ern, Jean-Luc Guermond
2022 J jnl
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography.
J. Comput. Phys.
Jean-Luc Guermond, Chris E. Kees, Bojan Popov, Eric Tovar
2022 J jnl
Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State.
SIAM J. Sci. Comput.
Bennett Clayton, Jean-Luc Guermond, Bojan Popov
2022 J jnl
Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes.
SIAM J. Sci. Comput.
Alexandre Ern, Jean-Luc Guermond
2022 J jnl
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence.
CoRR
Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond
2022 J jnl
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity.
Found. Comput. Math.
Alexandre Ern, Jean-Luc Guermond
2022 J jnl
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state.
CoRR
Bennett Clayton, Jean-Luc Guermond, Matthias Maier, Bojan Popov, Eric J. Tovar
2021 J jnl
Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography.
CoRR
Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris E. Kees
2021 J jnl
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations.
CoRR
Jean-Luc Guermond, Martin Kronbichler, Matthias Maier, Bojan Popov, Ignacio Tomas
2020 J jnl
Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Bojan Popov, Jean C. Ragusa
2020 J jnl
Second-order invariant domain preserving ALE approximation of hyperbolic systems.
J. Comput. Phys.
Jean-Luc Guermond, Bojan Popov, Laura Saavedra
2020 J jnl
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations.
CoRR
Jean-Luc Guermond, Matthias Maier, Bojan Popov, Ignacio Tomas
2019 J jnl
High-Order Adaptive Time Stepping for the Incompressible Navier-Stokes Equations.
SIAM J. Sci. Comput.
Jean-Luc Guermond, Peter D. Minev
2019 J jnl
Robust explicit relaxation technique for solving the Green-Naghdi equations.
J. Comput. Phys.
Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris E. Kees
2018 J jnl
Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations.
Comput. Methods Appl. Math.
Alexandre Ern, Jean-Luc Guermond
2018 J jnl
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions.
Comput. Math. Appl.
Alexandre Ern, Jean-Luc Guermond
2018 J jnl
Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting.
SIAM J. Sci. Comput.
Jean-Luc Guermond, Murtazo Nazarov, Bojan Popov, Ignacio Tomas
2018 J jnl
Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction.
SIAM J. Sci. Comput.
Jean-Luc Guermond, Manuel Quezada de Luna, Bojan Popov, Christopher E. Kees, Matthew W. Farthing
2017 J jnl
An conservative anti-diffusion technique for the level set method.
J. Comput. Appl. Math.
Jean-Luc Guermond, Manuel Quezada de Luna, Travis B. Thompson
2017 J jnl
High-order time stepping for the Navier-Stokes equations with minimal computational complexity.
J. Comput. Appl. Math.
Jean-Luc Guermond, Peter D. Minev
2017 J jnl
Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements.
SIAM J. Sci. Comput.
Jean-Luc Guermond, Bojan Popov, Laura Saavedra, Yong Yang
2017 J jnl
Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Bojan Popov
2017 J jnl
The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations.
J. Sci. Comput.
Jean-Luc Guermond, Bojan Popov, Yong Yang
2017 J jnl
Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements.
SIAM J. Numer. Anal.
Pascal Azérad, Jean-Luc Guermond, Bojan Popov
2016 J jnl
Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Bojan Popov
2016 J jnl
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations.
J. Comput. Phys.
Jean-Luc Guermond, Bojan Popov
2016 J jnl
Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Bojan Popov
2016 J jnl
Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes.
Comput. Methods Appl. Math.
Alexandre Ern, Jean-Luc Guermond
2015 J jnl
High-Order Time Stepping for the Incompressible Navier-Stokes Equations.
SIAM J. Sci. Comput.
Jean-Luc Guermond, Peter D. Minev
2014 J jnl
A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Murtazo Nazarov, Bojan Popov, Yong Yang
2014 J jnl
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations.
Math. Comput.
Andrea Bonito, Jean-Luc Guermond, Bojan Popov
2014 J jnl
Viscous Regularization of the Euler Equations and Entropy Principles.
SIAM J. Appl. Math.
Jean-Luc Guermond, Bojan Popov
2013 — conf
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping.
ENUMATH
Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee
2013 J jnl
Weighting the Edge Stabilization.
SIAM J. Numer. Anal.
Alexandre Ern, Jean-Luc Guermond
2012 J jnl
A robust S
J. Comput. Phys.
Jean C. Ragusa, Jean-Luc Guermond, Guido Kanschat
2012 J jnl
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains.
Math. Comput.
Jean-Luc Guermond, Peter D. Minev, Abner J. Salgado
2011 J jnl
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements.
Math. Comput.
Andrea Bonito, Jean-Luc Guermond
2011 J jnl
Effects of discontinuous magnetic permeability on magnetodynamic problems.
J. Comput. Phys.
Jean-Luc Guermond, Jacques Léorat, Francky Luddens, Caroline Nore, Adolfo Ribeiro
2011 J jnl
Entropy viscosity method for nonlinear conservation laws.
J. Comput. Phys.
Jean-Luc Guermond, Richard Pasquetti, Bojan Popov
2011 J jnl
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Abner J. Salgado
2011 J jnl
From Suitable Weak Solutions to Entropy Viscosity.
J. Sci. Comput.
Jean-Luc Guermond, Richard Pasquetti, Bojan Popov
2010 J jnl
Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Guido Kanschat
2010 J jnl
Surface Reconstruction and Image Enhancement via L
SIAM J. Sci. Comput.
Veselin Dobrev, Jean-Luc Guermond, Bojan Popov
2009 J jnl
A splitting method for incompressible flows with variable density based on a pressure Poisson equation.
J. Comput. Phys.
Jean-Luc Guermond, Abner J. Salgado
2009 J jnl
Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method.
J. Comput. Phys.
Jean-Luc Guermond, Raphael Laguerre, Jacques Léorat, Caroline Nore
2008 J jnl
A grid-alignment finite element technique for incompressible multicomponent flows.
J. Comput. Phys.
Boyan Bejanov, Jean-Luc Guermond, Peter D. Minev
2008 J jnl
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection.
SIAM J. Numer. Anal.
Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond
2008 J jnl
Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity.
SIAM J. Numer. Anal.
Alexandre Ern, Jean-Luc Guermond
2008 J jnl
Error analysis of fully discrete velocity-correction methods for incompressible flows.
Math. Comput.
Jean-Luc Guermond, Jie Shen, Xiaofeng Yang
2008 J jnl
L
Numerische Mathematik
Jean-Luc Guermond, Bojan Popov
2008 J jnl
L
SIAM J. Numer. Anal.
Jean-Luc Guermond, Bojan Popov
2008 — conf
Surface Reconstruction via L1-Minimization.
NAA
Veselin Dobrev, Jean-Luc Guermond, Bojan Popov
2007 J jnl
An interior penalty Galerkin method for the MHD equations in heterogeneous domains.
J. Comput. Phys.
Jean-Luc Guermond, Raphael Laguerre, Jacques Léorat, Caroline Nore
2006 J jnl
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory.
SIAM J. Numer. Anal.
Alexandre Ern, Jean-Luc Guermond
2006 J jnl
Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs.
SIAM J. Numer. Anal.
Alexandre Ern, Jean-Luc Guermond
2005 J jnl
Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Peter D. Minev, Jie Shen
2004 J jnl
A Finite Element Technique for Solving First-Order PDEs in L
SIAM J. Numer. Anal.
Jean-Luc Guermond
2004 J jnl
On the error estimates for the rotational pressure-correction projection methods.
Math. Comput.
Jean-Luc Guermond, Jie Shen
2003 J jnl
Velocity-Correction Projection Methods for Incompressible Flows.
SIAM J. Numer. Anal.
Jean-Luc Guermond, Jie Shen
2000 J jnl
Convergence Analysis of a Finite Element Projection/Lagrange-Galerkin Method for the Incompressible Navier-Stokes Equations.
SIAM J. Numer. Anal.
Yves Achdou, Jean-Luc Guermond
1998 J jnl
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods.
Numerische Mathematik
Jean-Luc Guermond, Luigi Quartapelle