What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Partial differential equation
The scientist’s investigation covers issues in Finite volume method, Discretization, Mathematical analysis, Applied mathematics and Finite element method.
His biological study spans a wide range of topics, including Anisotropic diffusion, Mixed finite element method, Scheme, Partial differential equation and Numerical analysis.
His research investigates the connection between Discretization and topics such as Polygon mesh that intersect with problems in Stencil, Edge and Classification of discontinuities.
His Applied mathematics study combines topics from a wide range of disciplines, such as Finite volume method for one-dimensional steady state diffusion, Discontinuous Galerkin method, Bounded function, Mathematical optimization and Regular grid.
As a part of the same scientific family, he mostly works in the field of Regular grid, focusing on Extended finite element method and, on occasion, Finite difference coefficient and Discrete mathematics.
His study looks at the intersection of Finite element method and topics like Geometry with Hydrogeology and Permeability.
His most cited work include:
- Finite Volume Methods (1366 citations)
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces (266 citations)
- Convergence of a finite volume scheme for nonlinear degenerate parabolic equations (184 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Finite volume method, Mathematical analysis, Discretization, Applied mathematics and Numerical analysis.
His study in Finite volume method is interdisciplinary in nature, drawing from both Geometry, Polygon mesh, Finite volume method for one-dimensional steady state diffusion, Partial differential equation and Finite element method.
Mixed finite element method is the focus of his Finite element method research.
His work is dedicated to discovering how Discretization, Compressibility are connected with Displacement and other disciplines.
His Applied mathematics research incorporates elements of Anisotropic diffusion, Mathematical optimization, Porous medium, Function and Discontinuous Galerkin method.
His Weak solution research integrates issues from Parabolic partial differential equation, Boundary value problem and Bounded function.
He most often published in these fields:
- Finite volume method (54.29%)
- Mathematical analysis (53.14%)
- Discretization (28.57%)
What were the highlights of his more recent work (between 2013-2020)?
- Mathematical analysis (53.14%)
- Discretization (28.57%)
- Applied mathematics (24.00%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Mathematical analysis, Discretization, Applied mathematics, Finite element method and Finite volume method.
His study explores the link between Mathematical analysis and topics such as Flow that cross with problems in Partial derivative, Variational inequality and Inviscid flow.
His Discretization research includes elements of Polygon mesh, Navier–Stokes equations, Compressibility, Divergence and Discontinuous Galerkin method.
His research in Discontinuous Galerkin method tackles topics such as Galerkin method which are related to areas like Differential operator.
His Applied mathematics study incorporates themes from Function, Numerical analysis, Mathematical optimization and Dirichlet boundary condition.
The Mixed finite element method research Robert Eymard does as part of his general Finite element method study is frequently linked to other disciplines of science, such as Two-phase flow and Bingham plastic, therefore creating a link between diverse domains of science.
Between 2013 and 2020, his most popular works were:
- The Gradient Discretisation Method (53 citations)
- Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation (45 citations)
- Gradient schemes: Generic tools for the numerical analysis of diffusion equations (38 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Partial differential equation
Mathematical analysis, Discretization, Numerical analysis, Applied mathematics and Finite element method are his primary areas of study.
He has researched Discretization in several fields, including Differential operator, Polygon mesh, Divergence and Galerkin method.
His work carried out in the field of Divergence brings together such families of science as Scheme, Navier–Stokes equations and Discontinuous Galerkin method.
His Numerical analysis research includes themes of Small number, Duality, Mathematical optimization and Diffusion.
His Applied mathematics research incorporates themes from Partial differential equation and Finite volume method.
Robert Eymard performs integrative study on Finite volume method and Maximum principle in his works.
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