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- Todd Dupont

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
44
Citations
18,422
85
World Ranking
1052
National Ranking
493

- 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.

- 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)

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.

- Mathematical analysis (48.04%)
- Galerkin method (31.37%)
- Mechanics (16.67%)

- Mathematical analysis (48.04%)
- Mechanics (16.67%)
- Galerkin method (31.37%)

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.

- 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)

- 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.

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.

Capillary flow as the cause of ring stains from dried liquid drops

Robert D. Deegan;Olgica Bakajin;Todd F. Dupont;Greb Huber.

Nature **(1997)**

6483 Citations

Contact line deposits in an evaporating drop

Robert D. Deegan;Olgica Bakajin;Todd F. Dupont;Greg Huber.

Physical Review E **(2000)**

2548 Citations

Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods

Jim Douglas;Todd Dupont.

Lecture Notes in Physics **(1976)**

757 Citations

Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation

Jens Eggers;Todd F. Dupont.

Journal of Fluid Mechanics **(1992)**

678 Citations

An optimal order process for solving finite element equations

Randolph E. Bank;Todd Dupont.

Mathematics of Computation **(1981)**

642 Citations

Polynomial approximation of functions in Sobolev spaces

Todd Dupont;Ridgway Scott.

Mathematics of Computation **(1980)**

565 Citations

Galerkin Methods for Parabolic Equations

Jim Douglas;Todd Dupont.

SIAM Journal on Numerical Analysis **(1970)**

517 Citations

The hierarchical basis multigrid method

Randolph E. Bank;Todd F. Dupont;Harry Yserentant.

Numerische Mathematik **(1988)**

493 Citations

An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations

Todd Dupont;Richard P. Kendall;H. H. Rachford.

SIAM Journal on Numerical Analysis **(1968)**

417 Citations

$L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

Todd Dupont.

SIAM Journal on Numerical Analysis **(1973)**

355 Citations

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