Jean-Luc Guermond
Orcid: 0000-0002-6974-6818
According to our database1,
Jean-Luc Guermond
authored at least 64 papers
between 1998 and 2024.
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Bibliography
2024
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations.
CoRR, 2024
2023
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., December, 2023
SIAM J. Sci. Comput., October, 2023
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state.
J. Comput. Phys., April, 2023
2022
Invariant-Domain-Preserving High-Order Time Stepping: I. Explicit Runge-Kutta Schemes.
SIAM J. Sci. Comput., October, 2022
Invariant Domain-Preserving Approximations for the Euler Equations with Tabulated Equation of State.
SIAM J. Sci. Comput., 2022
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography.
J. Comput. Phys., 2022
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity.
Found. Comput. Math., 2022
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence.
CoRR, 2022
2021
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations.
CoRR, 2021
Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography.
CoRR, 2021
2020
Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation.
SIAM J. Numer. Anal., 2020
J. Comput. Phys., 2020
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations.
CoRR, 2020
2019
SIAM J. Sci. Comput., 2019
J. Comput. Phys., 2019
2018
Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting.
SIAM J. Sci. Comput., 2018
Well-Balanced Second-Order Finite Element Approximation of the Shallow Water Equations with Friction.
SIAM J. Sci. Comput., 2018
Abstract Nonconforming Error Estimates and Application to Boundary Penalty Methods for Diffusion Equations and Time-Harmonic Maxwell's Equations.
Comput. Methods Appl. Math., 2018
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions.
Comput. Math. Appl., 2018
2017
Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements.
SIAM J. Sci. Comput., 2017
Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations.
SIAM J. Numer. Anal., 2017
Well-Balanced Second-Order Approximation of the Shallow Water Equation with Continuous Finite Elements.
SIAM J. Numer. Anal., 2017
The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations.
J. Sci. Comput., 2017
High-order time stepping for the Navier-Stokes equations with minimal computational complexity.
J. Comput. Appl. Math., 2017
J. Comput. Appl. Math., 2017
2016
Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems.
SIAM J. Numer. Anal., 2016
Error Estimates of a First-order Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations.
SIAM J. Numer. Anal., 2016
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations.
J. Comput. Phys., 2016
Mollification in Strongly Lipschitz Domains with Application to Continuous and Discrete De Rham Complexes.
Comput. Methods Appl. Math., 2016
2015
SIAM J. Sci. Comput., 2015
2014
A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations.
SIAM J. Numer. Anal., 2014
SIAM J. Appl. Math., 2014
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations.
Math. Comput., 2014
2013
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013
2012
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains.
Math. Comput., 2012
A robust S<sub>N</sub>-DG-approximation for radiation transport in optically thick and diffusive regimes.
J. Comput. Phys., 2012
2011
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density.
SIAM J. Numer. Anal., 2011
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements.
Math. Comput., 2011
J. Comput. Phys., 2011
2010
SIAM J. Sci. Comput., 2010
Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit.
SIAM J. Numer. Anal., 2010
2009
A splitting method for incompressible flows with variable density based on a pressure Poisson equation.
J. Comput. Phys., 2009
Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method.
J. Comput. Phys., 2009
2008
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection.
SIAM J. Numer. Anal., 2008
SIAM J. Numer. Anal., 2008
Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity.
SIAM J. Numer. Anal., 2008
L<sup>1</sup>-minimization methods for Hamilton-Jacobi equations: the one-dimensional case.
Numerische Mathematik, 2008
Error analysis of fully discrete velocity-correction methods for incompressible flows.
Math. Comput., 2008
J. Comput. Phys., 2008
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008
2007
J. Comput. Phys., 2007
2006
Discontinuous Galerkin Methods for Friedrichs' Systems. Part II. Second-order Elliptic PDEs.
SIAM J. Numer. Anal., 2006
SIAM J. Numer. Anal., 2006
2005
Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions.
SIAM J. Numer. Anal., 2005
2004
SIAM J. Numer. Anal., 2004
Math. Comput., 2004
2003
SIAM J. Numer. Anal., 2003
2000
Convergence Analysis of a Finite Element Projection/Lagrange-Galerkin Method for the Incompressible Navier-Stokes Equations.
SIAM J. Numer. Anal., 2000
1998
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods.
Numerische Mathematik, 1998