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- Jean-Luc Guermond

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
43
Citations
9,061
148
World Ranking
2172
National Ranking
879

Mathematics
D-index
50
Citations
12,146
284
World Ranking
779
National Ranking
388

2021 - Fellow of the American Mathematical Society For contributions to computational mathematics, in particular to the theory of finite element methods in partial differential equations.

- Mathematical analysis
- Geometry
- Partial differential equation

Jean-Luc Guermond mainly focuses on Mathematical analysis, Finite element method, Projection method, Navier–Stokes equations and Pressure-correction method. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Compressibility, Galerkin method and Discontinuous Galerkin method. His biological study spans a wide range of topics, including Projection, Geometry, Projection and Nonlinear system.

His Projection research includes elements of Conservation of mass, Series and Calculus. In Calculus, Jean-Luc Guermond works on issues like Poisson problem, which are connected to Applied mathematics. The various areas that Jean-Luc Guermond examines in his Navier–Stokes equations study include Incompressible flow and Vorticity.

- Theory and practice of finite elements (1188 citations)
- An overview of projection methods for incompressible flows (832 citations)
- An overview of projection methods for incompressible flows (832 citations)

His primary areas of study are Mathematical analysis, Finite element method, Applied mathematics, Mechanics and Navier–Stokes equations. Jean-Luc Guermond interconnects Compressibility, Galerkin method and Discontinuous Galerkin method in the investigation of issues within Mathematical analysis. His Finite element method study combines topics in areas such as Projection method, Space, Maxwell's equations and Nonlinear system.

His research on Projection method often connects related topics like Pressure-correction method. His Mechanics research is multidisciplinary, incorporating elements of Classical mechanics and Dynamo. Jean-Luc Guermond has researched Navier–Stokes equations in several fields, including Large eddy simulation, Incompressible flow, Weak solution and Projection.

- Mathematical analysis (47.54%)
- Finite element method (34.75%)
- Applied mathematics (22.95%)

- Applied mathematics (22.95%)
- Finite element method (34.75%)
- Mathematical analysis (47.54%)

His primary areas of study are Applied mathematics, Finite element method, Mathematical analysis, Mechanics and Pure mathematics. Jean-Luc Guermond studied Applied mathematics and Regular polygon that intersect with Hyperbolic systems and Invariant. His Finite element method study combines topics from a wide range of disciplines, such as Spectral method and Maxwell's equations.

Many of his research projects under Mathematical analysis are closely connected to Relaxation technique with Relaxation technique, tying the diverse disciplines of science together. His research in Mechanics tackles topics such as Thermomagnetic convection which are related to areas like Body force. His primary area of study in Pure mathematics is in the field of Sobolev space.

- Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting (40 citations)
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems (23 citations)
- Numerical simulation of the von Kármán sodium dynamo experiment (14 citations)

- Mathematical analysis
- Geometry
- Finite element method

Jean-Luc Guermond mostly deals with Finite element method, Mathematical analysis, Applied mathematics, Mechanics and Maxwell's equations. He studies Discontinuous Galerkin method, a branch of Finite element method. His Mathematical analysis study incorporates themes from P system and Waves and shallow water.

His Applied mathematics research is multidisciplinary, relying on both Invariant, Galerkin method and Regular polygon. His study in the field of Reynolds number also crosses realms of Imagination. His Maxwell's equations study integrates concerns from other disciplines, such as Penalty method, Linear subspace, Exact solutions in general relativity, Diffusion equation and Sobolev space.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Theory and practice of finite elements

Alexandre Ern;Jean-Luc Guermond.

**(2004)**

2918 Citations

Theory and practice of finite elements

Alexandre Ern;Jean-Luc Guermond.

**(2004)**

2918 Citations

An overview of projection methods for incompressible flows

J. L. Guermond;J. L. Guermond;P. Minev;Jie Shen.

Computer Methods in Applied Mechanics and Engineering **(2006)**

1464 Citations

An overview of projection methods for incompressible flows

J. L. Guermond;J. L. Guermond;P. Minev;Jie Shen.

Computer Methods in Applied Mechanics and Engineering **(2006)**

1464 Citations

Stabilization of Galerkin approximations of transport equations by subgrid modeling

Jean-Luc Guermond.

Mathematical Modelling and Numerical Analysis **(1999)**

365 Citations

Stabilization of Galerkin approximations of transport equations by subgrid modeling

Jean-Luc Guermond.

Mathematical Modelling and Numerical Analysis **(1999)**

365 Citations

Entropy viscosity method for nonlinear conservation laws

Jean-Luc Guermond;Richard Pasquetti;Bojan Popov.

Journal of Computational Physics **(2011)**

351 Citations

Entropy viscosity method for nonlinear conservation laws

Jean-Luc Guermond;Richard Pasquetti;Bojan Popov.

Journal of Computational Physics **(2011)**

351 Citations

A projection FEM for variable density incompressible flows

J.-L. Guermond;L. Quartapelle.

Journal of Computational Physics **(2000)**

287 Citations

A projection FEM for variable density incompressible flows

J.-L. Guermond;L. Quartapelle.

Journal of Computational Physics **(2000)**

287 Citations

Journal of Mathematical Analysis and Applications

(Impact Factor: 1.417)

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