Jean-Luc Guermond

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 35

Top Topics

Error Estimates

Conservation Laws

Lognormal Distribution

Top Venues

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

J. Comput. Phys.

Publications

Melvin Creff, Jean-Luc Guermond
Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations. CoRR (2024)
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) (2024)
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) (2024)
Jean-Luc Guermond, Matthias Maier, Eric Tovar
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations. CoRR (2024)
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) (2023)
Alexandre Ern, Jean-Luc Guermond
Invariant-Domain Preserving High-Order Time Stepping: II. IMEX Schemes. SIAM J. Sci. Comput. 45 (5) (2023)
Jean-Luc Guermond, Matthias Maier, Bojan Popov, Laura Saavedra, Ignacio Tomas
Greedy invariant-domain preserving approximation for hyperbolic systems. CoRR (2023)
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 (2023)
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) (2022)
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) (2022)
Alexandre Ern, Jean-Luc Guermond
Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes. SIAM J. Sci. Comput. 44 (5) (2022)
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 (2022)
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 (2022)
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 (2022)
Jean-Luc Guermond, Bojan Popov, Eric Tovar, Chris E. Kees
Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography. CoRR (2021)
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 (2021)
Jean-Luc Guermond, Bojan Popov, Jean C. Ragusa
Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation. SIAM J. Numer. Anal. 58 (1) (2020)
Jean-Luc Guermond, Bojan Popov, Laura Saavedra
Second-order invariant domain preserving ALE approximation of hyperbolic systems. J. Comput. Phys. 401 (2020)
Jean-Luc Guermond, Matthias Maier, Bojan Popov, Ignacio Tomas
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. CoRR (2020)
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)
Jean-Luc Guermond, Peter D. Minev
High-Order Adaptive Time Stepping for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 41 (2) (2019)
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) (2018)
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) (2018)
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) (2018)
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) (2018)
Jean-Luc Guermond, Peter D. Minev
High-order time stepping for the Navier-Stokes equations with minimal computational complexity. J. Comput. Appl. Math. 310 (2017)
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) (2017)
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) (2017)
Jean-Luc Guermond, Bojan Popov
Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations. SIAM J. Numer. Anal. 55 (6) (2017)
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)
Jean-Luc Guermond, Manuel Quezada de Luna, Travis Thompson
An conservative anti-diffusion technique for the level set method. J. Comput. Appl. Math. 321 (2017)
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 (2016)
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) (2016)
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) (2016)
Jean-Luc Guermond, Bojan Popov
Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems. SIAM J. Numer. Anal. 54 (4) (2016)
Jean-Luc Guermond, Peter D. Minev
High-Order Time Stepping for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 37 (6) (2015)
Jean-Luc Guermond, Bojan Popov
Viscous Regularization of the Euler Equations and Entropy Principles. SIAM J. Appl. Math. 74 (2) (2014)
Andrea Bonito, Jean-Luc Guermond, Bojan Popov
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Math. Comput. 83 (287) (2014)
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) (2014)
Andrea Bonito, Jean-Luc Guermond, Sanghyun Lee
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping. ENUMATH (2013)
Alexandre Ern, Jean-Luc Guermond
Weighting the Edge Stabilization. SIAM J. Numer. Anal. 51 (3) (2013)
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) (2012)
Jean C. Ragusa, Jean-Luc Guermond, Guido Kanschat
-DG-approximation for radiation transport in optically thick and diffusive regimes. J. Comput. Phys. 231 (4) (2012)
Jean-Luc Guermond, Jacques Léorat, Francky Luddens, Caroline Nore, Adolfo Ribeiro
Effects of discontinuous magnetic permeability on magnetodynamic problems. J. Comput. Phys. 230 (16) (2011)
Jean-Luc Guermond, Richard Pasquetti, Bojan Popov
Entropy viscosity method for nonlinear conservation laws. J. Comput. Phys. 230 (11) (2011)
Jean-Luc Guermond, Richard Pasquetti, Bojan Popov
From Suitable Weak Solutions to Entropy Viscosity. J. Sci. Comput. 49 (1) (2011)
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) (2011)
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) (2011)
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) (2010)
Veselin Dobrev, Jean-Luc Guermond, Bojan Popov
-Minimization. SIAM J. Sci. Comput. 32 (3) (2010)
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) (2009)
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) (2009)
Boyan Bejanov, Jean-Luc Guermond, Peter D. Minev
A grid-alignment finite element technique for incompressible multicomponent flows. J. Comput. Phys. 227 (13) (2008)
Jean-Luc Guermond, Jie Shen, Xiaofeng Yang
Error analysis of fully discrete velocity-correction methods for incompressible flows. Math. Comput. 77 (263) (2008)
Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. SIAM J. Numer. Anal. 46 (2) (2008)
Veselin Dobrev, Jean-Luc Guermond, Bojan Popov
Surface Reconstruction via L1-Minimization. NAA (2008)
Jean-Luc Guermond, Bojan Popov
-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. Numerische Mathematik 109 (2) (2008)
Alexandre Ern, Jean-Luc Guermond
Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity. SIAM J. Numer. Anal. 46 (2) (2008)
Jean-Luc Guermond, Bojan Popov
-Approximation of Stationary Hamilton-Jacobi Equations. SIAM J. Numer. Anal. 47 (1) (2008)
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) (2007)
Alexandre Ern, Jean-Luc Guermond
Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs. SIAM J. Numer. Anal. 44 (6) (2006)
Alexandre Ern, Jean-Luc Guermond
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory. SIAM J. Numer. Anal. 44 (2) (2006)
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) (2005)
Jean-Luc Guermond
. SIAM J. Numer. Anal. 42 (2) (2004)
Jean-Luc Guermond, Jie Shen
On the error estimates for the rotational pressure-correction projection methods. Math. Comput. 73 (248) (2004)
Jean-Luc Guermond, Jie Shen
Velocity-Correction Projection Methods for Incompressible Flows. SIAM J. Numer. Anal. 41 (1) (2003)
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) (2000)
Jean-Luc Guermond, Luigi Quartapelle
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Numerische Mathematik 80 (2) (1998)