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 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.
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.
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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Finite Volume Methods
Robert Eymard;Thierry Gallouët;Raphaèle Herbin.
Handbook of Numerical Analysis (2000)
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
Robert Eymard;Thierry Gallouët;Raphaele Herbin.
Ima Journal of Numerical Analysis (2010)
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
Robert Eymard;Gérard Henry;Raphaèle Herbin;Florence Hubert.
Finite Volume for Complex Applications VI (2011)
A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin.
Mathematical Models and Methods in Applied Sciences (2010)
A mixed finite volume scheme for anisotropic diffusion problems on any grid
Jérôme Droniou;Robert Eymard.
Numerische Mathematik (2006)
Use of Parameter Gradients for Reservoir History Matching
F. Anterion;R. Eymard;B. Karcher.
SPE Symposium on Reservoir Simulation (1989)
Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
Robert Eymard;Thierry Gallouët;Raphaèle Herbin;Anthony Michel.
Numerische Mathematik (2002)
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
R Eymard;T Gallouët;M Ghilani;R Herbin.
Ima Journal of Numerical Analysis (1998)
Small-stencil 3D schemes for diffusive flows in porous media
Robert Eymard;Cindy Guichard;Raphaele Herbin.
Mathematical Modelling and Numerical Analysis (2012)
The finite volume method for Richards equation
Robert Eymard;Michaël Gutnic;Danielle Hilhorst.
Computational Geosciences (1999)
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