What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (47.54%)
- Finite element method (34.75%)
- Applied mathematics (22.95%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (22.95%)
- Finite element method (34.75%)
- Mathematical analysis (47.54%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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