What is she best known for?
The fields of study she is best known for:
- Mathematical analysis
- Internal medicine
- Partial differential equation
Her primary areas of study are Discontinuous Galerkin method, Mathematical analysis, Finite element method, Galerkin method and Numerical analysis.
Her Discontinuous Galerkin method research includes themes of Flow, Geometry and Applied mathematics.
Discretization, Systems engineering, Computational complexity theory and Theoretical computer science is closely connected to Multiphysics in her research, which is encompassed under the umbrella topic of Mathematical analysis.
The study of Finite element method is intertwined with the study of Stokes flow in a number of ways.
Her Galerkin method research incorporates themes from Penalty method, Parabolic partial differential equation and Bilinear form.
Her study focuses on the intersection of Numerical analysis and fields such as Partial differential equation with connections in the field of Initial value problem, Domain decomposition methods and Boundary value problem.
Her most cited work include:
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation (463 citations)
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I (354 citations)
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems (308 citations)
What are the main themes of her work throughout her whole career to date?
Béatrice Rivière mostly deals with Discontinuous Galerkin method, Mathematical analysis, Finite element method, Applied mathematics and Numerical analysis.
The Discontinuous Galerkin method study combines topics in areas such as Flow, Galerkin method, Nonlinear system, Compressibility and Discretization.
When carried out as part of a general Mathematical analysis research project, her work on Partial differential equation is frequently linked to work in Degenerate energy levels, therefore connecting diverse disciplines of study.
Her Finite element method study combines topics in areas such as Navier–Stokes equations, Geometry, Surface and Displacement.
Her Applied mathematics study combines topics from a wide range of disciplines, such as Biot number, Linear system, Mathematical optimization and Two-phase flow.
Her Numerical analysis study combines topics from a wide range of disciplines, such as Space, Stokes flow and Multiphysics.
She most often published in these fields:
- Discontinuous Galerkin method (61.22%)
- Mathematical analysis (42.18%)
- Finite element method (29.25%)
What were the highlights of her more recent work (between 2018-2021)?
- Discontinuous Galerkin method (61.22%)
- Mathematical analysis (42.18%)
- Two-phase flow (7.48%)
In recent papers she was focusing on the following fields of study:
Her primary scientific interests are in Discontinuous Galerkin method, Mathematical analysis, Two-phase flow, Finite element method and Flow.
The study incorporates disciplines such as Compressibility, Parallel computing, Numerical error, Applied mathematics and Discretization in addition to Discontinuous Galerkin method.
Her studies deal with areas such as Nonlinear system and Finite volume method as well as Compressibility.
She integrates Mathematical analysis and Component in her studies.
The concepts of her Finite element method study are interwoven with issues in Deconvolution and Turbulence, Reynolds number.
Her Flow study integrates concerns from other disciplines, such as Cylinder, Numerical analysis, Pulmonary surfactant and Asymptotic analysis.
Between 2018 and 2021, her most popular works were:
- Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method (12 citations)
- An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media (7 citations)
- A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media (5 citations)
In her most recent research, the most cited papers focused on:
- Mathematical analysis
- Internal medicine
- Thermodynamics
Her primary areas of investigation include Discontinuous Galerkin method, Mathematical analysis, Degenerate energy levels, Finite element method and Two-phase flow.
Her Discontinuous Galerkin method research includes themes of Flow, Multigrid method, Applied mathematics, Discretization and Solver.
Her Flow study combines topics in areas such as Viscosity, Algorithm, Linear system and Capillary action.
Her work on Numerical error as part of her general Applied mathematics study is frequently connected to Error analysis, thereby bridging the divide between different branches of science.
Her work carried out in the field of Discretization brings together such families of science as Distribution and Dykstra's projection algorithm.
Her research in Mathematical analysis intersects with topics in Black oil and Gravity.
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