What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Mechanics
- Algebra
His primary areas of investigation include Mathematical analysis, Discontinuous Galerkin method, Galerkin method, Mechanics and Drop.
His Mathematical analysis research includes elements of Numerical solution of the convection–diffusion equation and Finite difference coefficient.
The Discontinuous Galerkin method study combines topics in areas such as Boundary value problem and Parabolic cylinder function.
His work in the fields of Mechanics, such as Instability, intersects with other areas such as Solvent.
His Drop study combines topics from a wide range of disciplines, such as Coffee ring effect and Nanotechnology.
His Coffee ring effect research integrates issues from Evaporation and Composite material, Capillary action, Watch glass.
His most cited work include:
- Capillary flow as the cause of ring stains from dried liquid drops (4051 citations)
- Contact line deposits in an evaporating drop (1536 citations)
- Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods (447 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical analysis, Galerkin method, Mechanics, Applied mathematics and Parabolic partial differential equation.
The various areas that Todd F. Dupont examines in his Mathematical analysis study include Domain decomposition methods and Finite element method.
His Galerkin method research incorporates themes from Discretization, Superconvergence, Piecewise and Discontinuous Galerkin method.
His Mechanics study combines topics in areas such as Drop and Classical mechanics, Shock.
Drop is closely attributed to Coffee ring effect in his work.
The Parabolic partial differential equation study combines topics in areas such as Parabolic problem and Initial value problem.
He most often published in these fields:
- Mathematical analysis (48.04%)
- Galerkin method (31.37%)
- Mechanics (16.67%)
What were the highlights of his more recent work (between 2001-2021)?
- Mathematical analysis (48.04%)
- Mechanics (16.67%)
- Galerkin method (31.37%)
In recent papers he was focusing on the following fields of study:
Todd F. Dupont spends much of his time researching Mathematical analysis, Mechanics, Galerkin method, Applied mathematics and Shock.
Particularly relevant to Existence theorem is his body of work in Mathematical analysis.
His work carried out in the field of Mechanics brings together such families of science as Verification and validation and Gas transmission.
His work deals with themes such as Discretization, Partial differential equation, Parabolic partial differential equation and Piecewise, which intersect with Galerkin method.
As a part of the same scientific study, he usually deals with the Parabolic partial differential equation, concentrating on Stokes flow and frequently concerns with Numerical analysis.
His Applied mathematics research incorporates elements of Dimension, Superconvergence, Rate of convergence and Advection.
Between 2001 and 2021, his most popular works were:
- On Validating an Astrophysical Simulation Code (189 citations)
- Failure of the discrete maximum principle for an elliptic finite element problem (86 citations)
- Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function (62 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Mechanics
- Algebra
The scientist’s investigation covers issues in Mathematical analysis, Discretization, Finite element method, Partial differential equation and Galerkin method.
Todd F. Dupont brings together Mathematical analysis and Level set method to produce work in his papers.
He works mostly in the field of Discretization, limiting it down to topics relating to Well-posed problem and, in certain cases, Parabolic partial differential equation.
His research in Parabolic partial differential equation intersects with topics in Initial value problem, Linear system, Inverse problem and Conjugate gradient method.
Todd F. Dupont combines subjects such as Geometry, Convection–diffusion equation, Method of characteristics and Applied mathematics with his study of Finite element method.
Todd F. Dupont works mostly in the field of Superconvergence, limiting it down to topics relating to Numerical analysis and, in certain cases, Hyperbolic partial differential equation, Mathematical optimization and Linear equation, as a part of the same area of interest.
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