On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. - Jean-Luc Guermond; Luigi Quartapelle (Numerische Mathematik, 1998)

Convergence Analysis of a Finite Element Projection/Lagrange-Galerkin Method for the Incompressible Navier-Stokes Equations. - Yves Achdou; Jean-Luc Guermond (SIAM J. Numer. Anal., 2000)

Velocity-Correction Projection Methods for Incompressible Flows. - Jean-Luc Guermond; Jie Shen 001 (SIAM J. Numer. Anal., 2003)

On the error estimates for the rotational pressure-correction projection methods. - Jean-Luc Guermond; Jie Shen 001 (Math. Comput., 2004)

A Finite Element Technique for Solving First-Order PDEs in Lp. - Jean-Luc Guermond (SIAM J. Numer. Anal., 2004)

Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions. - Jean-Luc Guermond; Peter D. Minev; Jie Shen 001 (SIAM J. Numer. Anal., 2005)

Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2006)

Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2006)

An interior penalty Galerkin method for the MHD equations in heterogeneous domains. - Jean-Luc Guermond; Raphael Laguerre; Jacques Léorat; Caroline Nore (J. Comput. Phys., 2007)

Surface Reconstruction via L1-Minimization. - Veselin Dobrev; Jean-Luc Guermond; Bojan Popov (NAA, 2008)

A grid-alignment finite element technique for incompressible multicomponent flows. - Boyan Bejanov; Jean-Luc Guermond; Peter D. Minev (J. Comput. Phys., 2008)

Error analysis of fully discrete velocity-correction methods for incompressible flows. - Jean-Luc Guermond; Jie Shen 001; Xiaofeng Yang 003 (Math. Comput., 2008)

L1-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. - Jean-Luc Guermond; Bojan Popov (Numerische Mathematik, 2008)

Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2008)

L1-Approximation of Stationary Hamilton-Jacobi Equations. - Jean-Luc Guermond; Bojan Popov (SIAM J. Numer. Anal., 2008)

Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. - Daniele A. Di Pietro; Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2008)

Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method. - Jean-Luc Guermond; Raphael Laguerre; Jacques Léorat; Caroline Nore (J. Comput. Phys., 2009)

A splitting method for incompressible flows with variable density based on a pressure Poisson equation. - Jean-Luc Guermond; Abner J. Salgado (J. Comput. Phys., 2009)

Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit. - Jean-Luc Guermond; Guido Kanschat (SIAM J. Numer. Anal., 2010)

Surface Reconstruction and Image Enhancement via L1-Minimization. - Veselin Dobrev; Jean-Luc Guermond; Bojan Popov (SIAM J. Sci. Comput., 2010)

Effects of discontinuous magnetic permeability on magnetodynamic problems. - Jean-Luc Guermond; Jacques Léorat; Francky Luddens; Caroline Nore; Adolfo Ribeiro (J. Comput. Phys., 2011)

Entropy viscosity method for nonlinear conservation laws. - Jean-Luc Guermond; Richard Pasquetti; Bojan Popov (J. Comput. Phys., 2011)

From Suitable Weak Solutions to Entropy Viscosity. - Jean-Luc Guermond; Richard Pasquetti; Bojan Popov (J. Sci. Comput., 2011)

Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. - Andrea Bonito; Jean-Luc Guermond (Math. Comput., 2011)

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. - Jean-Luc Guermond; Abner J. Salgado (SIAM J. Numer. Anal., 2011)

A robust SN-DG-approximation for radiation transport in optically thick and diffusive regimes. - Jean C. Ragusa; Jean-Luc Guermond; Guido Kanschat (J. Comput. Phys., 2012)

Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. - Jean-Luc Guermond; Peter D. Minev; Abner J. Salgado (Math. Comput., 2012)

Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping. - Andrea Bonito; Jean-Luc Guermond; Sanghyun Lee (ENUMATH, 2013)

Weighting the Edge Stabilization. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2013)

Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. - Andrea Bonito; Jean-Luc Guermond; Bojan Popov (Math. Comput., 2014)

Viscous Regularization of the Euler Equations and Entropy Principles. - Jean-Luc Guermond; Bojan Popov (SIAM J. Appl. Math., 2014)

A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations. - Jean-Luc Guermond; Murtazo Nazarov; Bojan Popov; Yong Yang (SIAM J. Numer. Anal., 2014)

High-Order Time Stepping for the Incompressible Navier-Stokes Equations. - Jean-Luc Guermond; Peter D. Minev (SIAM J. Sci. Comput., 2015)

Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes. - Alexandre Ern; Jean-Luc Guermond (Comput. Methods Appl. Math., 2016)

Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. - Jean-Luc Guermond; Bojan Popov (J. Comput. Phys., 2016)

Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations. - Jean-Luc Guermond; Bojan Popov (SIAM J. Numer. Anal., 2016)

Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems. - Jean-Luc Guermond; Bojan Popov (SIAM J. Numer. Anal., 2016)

An conservative anti-diffusion technique for the level set method. - Jean-Luc Guermond; Manuel Quezada de Luna; Travis B. Thompson (J. Comput. Appl. Math., 2017)

High-order time stepping for the Navier-Stokes equations with minimal computational complexity. - Jean-Luc Guermond; Peter D. Minev (J. Comput. Appl. Math., 2017)

The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations. - Jean-Luc Guermond; Bojan Popov; Yong Yang (J. Sci. Comput., 2017)

Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements. - Pascal Azérad; Jean-Luc Guermond; Bojan Popov (SIAM J. Numer. Anal., 2017)

Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations. - Jean-Luc Guermond; Bojan Popov (SIAM J. Numer. Anal., 2017)

Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements. - Jean-Luc Guermond; Bojan Popov; Laura Saavedra; Yong Yang (SIAM J. Sci. Comput., 2017)

Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. - Alexandre Ern; Jean-Luc Guermond (Comput. Math. Appl., 2018)

Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations. - Alexandre Ern; Jean-Luc Guermond (Comput. Methods Appl. Math., 2018)

Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction. - Jean-Luc Guermond; Manuel Quezada de Luna; Bojan Popov; Christopher E. Kees; Matthew W. Farthing (SIAM J. Sci. Comput., 2018)

Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting. - Jean-Luc Guermond; Murtazo Nazarov; Bojan Popov; Ignacio Tomas (SIAM J. Sci. Comput., 2018)

Robust explicit relaxation technique for solving the Green-Naghdi equations. - Jean-Luc Guermond; Bojan Popov; Eric Tovar; Chris E. Kees (J. Comput. Phys., 2019)

High-Order Adaptive Time Stepping for the Incompressible Navier-Stokes Equations. - Jean-Luc Guermond; Peter D. Minev (SIAM J. Sci. Comput., 2019)

Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. - Jean-Luc Guermond; Matthias Maier; Bojan Popov; Ignacio Tomas (CoRR, 2020)

Second-order invariant domain preserving ALE approximation of hyperbolic systems. - Jean-Luc Guermond; Bojan Popov; Laura Saavedra (J. Comput. Phys., 2020)

Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation. - Jean-Luc Guermond; Bojan Popov; Jean C. Ragusa (SIAM J. Numer. Anal., 2020)

Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography. - Jean-Luc Guermond; Bojan Popov; Eric Tovar; Chris E. Kees (CoRR, 2021)

On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. - Jean-Luc Guermond; Martin Kronbichler 002; Matthias Maier; Bojan Popov; Ignacio Tomas (CoRR, 2021)

Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence. - Zhaonan Dong; Alexandre Ern; Jean-Luc Guermond (CoRR, 2022)

Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity. - Alexandre Ern; Jean-Luc Guermond (Found. Comput. Math., 2022)

Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography. - Jean-Luc Guermond; Chris E. Kees; Bojan Popov; Eric Tovar (J. Comput. Phys., 2022)

Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State. - Bennett Clayton; Jean-Luc Guermond; Bojan Popov (SIAM J. Sci. Comput., 2022)

Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Sci. Comput., 2022)

Greedy invariant-domain preserving approximation for hyperbolic systems. - Jean-Luc Guermond; Matthias Maier; Bojan Popov; Laura Saavedra; Ignacio Tomas (CoRR, 2023)

Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state. - Bennett Clayton; Jean-Luc Guermond; Matthias Maier; Bojan Popov; Eric J. Tovar (J. Comput. Phys., 2023)

Invariant-Domain Preserving High-Order Time Stepping: II. IMEX Schemes. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Sci. Comput., 2023)

The Discontinuous Galerkin Approximation of the Grad-Div and Curl-Curl Operators in First-Order Form Is Involution-Preserving and Spectrally Correct. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2023)

Innovative discretizations of PDEs: Towards an accurate representation of the reality. - Fleurianne Bertrand; Daniele Boffi; Alexander Düster; Jean-Luc Guermond; Norbert Heuer; Jichun Li; Waldemar Rachowicz (Comput. Math. Appl., 2024)

A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations. - Jean-Luc Guermond; Matthias Maier; Eric Tovar (CoRR, 2024)

First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System. - Jean-Luc Guermond; Matthias Maier; Bojan Popov; Laura Saavedra; Ignacio Tomas (J. Sci. Comput., 2024)

Asymptotic and Invariant-Domain Preserving Schemes for Scalar Conservation Equations with Stiff Source Terms and Multiple Equilibrium Points. - Alexandre Ern; Jean-Luc Guermond; Zuodong Wang (J. Sci. Comput., 2024)

Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations. - Melvin Creff; Jean-Luc Guermond (Comput. Math. Appl., 2025)

Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations. - Jean-Luc Guermond; Zuodong Wang (J. Comput. Phys., 2025)

Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell's Equations with Discontinuous Coefficients. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Numer. Anal., 2025)

Third-Order Sectorially A-Stable Alternating Implicit Runge-Kutta Schemes. - Alexandre Ern; Jean-Luc Guermond (SIAM J. Sci. Comput., 2025)