What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Partial differential equation
His primary areas of study are Finite volume method, Discretization, Mathematical analysis, Applied mathematics and Finite element method.
The Finite volume method study combines topics in areas such as Dirichlet problem, Geometry, Numerical analysis and Subsequence.
His Discretization research is multidisciplinary, incorporating elements of Partial differential equation and Order.
His work on Uniqueness, Parabolic partial differential equation and Elliptic curve is typically connected to A domain and Piecewise constant approximation as part of general Mathematical analysis study, connecting several disciplines of science.
His Applied mathematics research includes themes of Anisotropic diffusion, Finite volume method for one-dimensional steady state diffusion, Discontinuous Galerkin method, Bounded function and Mathematical optimization.
His study looks at the relationship between Finite volume method for one-dimensional steady state diffusion and topics such as Regular grid, which overlap with Discrete mathematics and Finite difference coefficient.
His most cited work include:
- Finite Volume Methods (1366 citations)
- Three-dimensional numerical simulation for various geometries of solid oxide fuel cells (358 citations)
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces (266 citations)
What are the main themes of his work throughout his whole career to date?
Raphaèle Herbin mainly focuses on Finite volume method, Mathematical analysis, Discretization, Applied mathematics and Finite element method.
His Finite volume method research integrates issues from Convection–diffusion equation, Geometry, Polygon mesh, Finite volume method for one-dimensional steady state diffusion and Numerical analysis.
The Mathematical analysis study which covers Navier–Stokes equations that intersects with Compressible flow.
Raphaèle Herbin interconnects Cartesian coordinate system, Compressibility, Pressure-correction method and Euler equations in the investigation of issues within Discretization.
His work deals with themes such as Anisotropic diffusion, Bounded function, Mathematical optimization and Compact space, which intersect with Applied mathematics.
His research in Finite element method is mostly focused on Mixed finite element method.
He most often published in these fields:
- Finite volume method (51.32%)
- Mathematical analysis (50.26%)
- Discretization (41.27%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (33.86%)
- Discretization (41.27%)
- Finite volume method (51.32%)
In recent papers he was focusing on the following fields of study:
Applied mathematics, Discretization, Finite volume method, Euler equations and Pressure-correction method are his primary areas of study.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Space, Duality, Polygon mesh and Finite element method.
His study looks at the relationship between Finite element method and fields such as Partial differential equation, as well as how they intersect with chemical problems.
Raphaèle Herbin studies Discretization, namely Courant–Friedrichs–Lewy condition.
Raphaèle Herbin performs integrative study on Finite volume method and Weak consistency.
His Mathematical analysis research incorporates themes from Incompressible flow and Cover.
Between 2017 and 2021, his most popular works were:
- The Gradient Discretisation Method (53 citations)
- Convergence of the Marker-and-Cell Scheme for the Incompressible Navier–Stokes Equations on Non-uniform Grids (18 citations)
- Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Partial differential equation
Raphaèle Herbin focuses on Discretization, Applied mathematics, Finite volume method, Euler equations and Finite element method.
In his study, which falls under the umbrella issue of Discretization, Sequence and Kinetic energy is strongly linked to Pressure-correction method.
His research investigates the connection between Applied mathematics and topics such as Polygon mesh that intersect with problems in Basis function and Porous medium.
His Finite volume method research spans across into fields like Consistency and Weak consistency.
His studies in Euler equations integrate themes in fields like Upwind scheme and Internal energy.
Raphaèle Herbin works mostly in the field of Finite element method, limiting it down to concerns involving Partial differential equation and, occasionally, Duality, Numerical diffusion, Scalar and Numerical analysis.
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.
