D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 35 Citations 6,564 250 World Ranking 1874 National Ranking 801
Engineering and Technology D-index 35 Citations 6,576 252 World Ranking 5161 National Ranking 1646

Research.com Recognitions

Awards & Achievements

1998 - Fellow of the International Association for Computational Mechanics (IACM)

Overview

What is he best known for?

The fields of study Graham F. Carey is best known for:

  • Partial differential equation
  • Viscosity
  • Finite element method

Graham F. Carey performs multidisciplinary study in Finite element method and Mixed finite element method in his work. Graham F. Carey performs integrative study on Mixed finite element method and Finite element method. He integrates several fields in his works, including Applied mathematics and Statistics. He connects Statistics with Applied mathematics in his research. In his works, he undertakes multidisciplinary study on Mathematical analysis and Geometry. Graham F. Carey integrates Geometry and Mathematical analysis in his research. Mechanics is frequently linked to Fluid dynamics in his study. His research on Fluid dynamics often connects related topics like Mechanics. Much of his study explores Structural engineering relationship to Superconvergence.

His most cited work include:

  • High-order compact scheme for the steady stream-function vorticity equations (221 citations)
  • Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems (159 citations)
  • Finite Elements, An Introduction (147 citations)

What are the main themes of his work throughout his whole career to date

Graham F. Carey bridges between several scientific fields such as Boundary value problem and Discretization in his study of Mathematical analysis. Many of his studies on Boundary value problem apply to Mathematical analysis as well. In his works, he undertakes multidisciplinary study on Finite element method and Mixed finite element method. Graham F. Carey performs multidisciplinary study in the fields of Applied mathematics and Statistics via his papers. Graham F. Carey performs multidisciplinary study in the fields of Statistics and Applied mathematics via his papers. Graham F. Carey undertakes multidisciplinary studies into Thermodynamics and Mechanics in his work. In his work, he performs multidisciplinary research in Mechanics and Thermodynamics. His Geometry study typically links adjacent topics like Flow (mathematics). Flow (mathematics) is closely attributed to Geometry in his work.

Graham F. Carey most often published in these fields:

  • Finite element method (68.14%)
  • Applied mathematics (62.83%)
  • Mathematical analysis (61.95%)

What were the highlights of his more recent work (between 2000-2012)?

  • Applied mathematics (62.50%)
  • Geometry (56.25%)
  • Finite element method (56.25%)

In recent works Graham F. Carey was focusing on the following fields of study:

His work on Geometry is typically connected to Mathematical optimization as part of general Grid study, connecting several disciplines of science. In the subject of Geometry, he integrates adjacent scientific disciplines such as Flow (mathematics), Polygon mesh and Grid. His research on Flow (mathematics) frequently links to adjacent areas such as Mechanics. His research on Mechanics frequently links to adjacent areas such as Compressibility. In his research, he undertakes multidisciplinary study on Mathematical optimization and Algorithm. Graham F. Carey incorporates Algorithm and Computer graphics (images) in his research. His research on Galerkin method and Multiphysics is centered around Finite element method. Graham F. Carey connects relevant research areas such as Scheme (mathematics), Boundary value problem, Shallow water equations and Numerical analysis in the realm of Mathematical analysis. Boundary value problem connects with themes related to Mathematical analysis in his study.

Between 2000 and 2012, his most popular works were:

  • Extension of high-order compact schemes to time-dependent problems (111 citations)
  • Control strategies for timestep selection in finite element simulation of incompressible flows and coupled reaction-convection-diffusion processes (44 citations)
  • Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer (31 citations)

In his most recent research, the most cited works focused on:

  • Finite element method
  • Galerkin method
  • Computational fluid dynamics

Graham F. Carey integrates many fields, such as Finite element method, Galerkin method and Computational fluid dynamics, in his works. In his study, Graham F. Carey carries out multidisciplinary Computational fluid dynamics and Finite element method research. In his works, he undertakes multidisciplinary study on Applied mathematics and Algorithm. Graham F. Carey integrates Algorithm with Mathematical optimization in his research. Graham F. Carey brings together Mathematical optimization and Applied mathematics to produce work in his papers. Geometry is closely attributed to Flow (mathematics) in his study. His Flow (mathematics) study frequently links to adjacent areas such as Geometry. In his works, he undertakes multidisciplinary study on Economic growth and Convergence (economics). He undertakes interdisciplinary study in the fields of Convergence (economics) and Economic growth through his research.

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.

Best Publications

libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations

Benjamin S. Kirk;John W. Peterson;Roy H. Stogner;Graham F. Carey.
Engineering With Computers (2006)

865 Citations

High‐order compact scheme for the steady stream‐function vorticity equations

W. F. Spotz;G. F. Carey.
International Journal for Numerical Methods in Engineering (1995)

330 Citations

Least-squares mixed finite elements for second-order elliptic problems

A. I. Pehlivanov;G. F. Carey;R. D. Lazarov.
SIAM Journal on Numerical Analysis (1994)

247 Citations

Resonant Phase Patterns in a Reaction-Diffusion System

Anna L. Lin;Matthias Bertram;Karl Martinez;Harry L. Swinney.
Physical Review Letters (2000)

210 Citations

A high-order compact formulation for the 3D Poisson equation

W. F. Spotz;G. F. Carey.
Numerical Methods for Partial Differential Equations (1996)

186 Citations

Extension of high‐order compact schemes to time‐dependent problems

W. F. Spotz;G. F. Carey.
Numerical Methods for Partial Differential Equations (2001)

167 Citations

STREAM FUNCTION-VORTICITY DRIVEN CAVITY SOLUTION USING p FINITE ELEMENTS

E. Barragy;G.F. Carey.
Computers & Fluids (1997)

164 Citations

HYPERBOLIC HEAT TRANSFER WITH REFLECTION

G. F. Carey;M. Tsai.
Numerical Heat Transfer Part A-applications (1982)

160 Citations

Book reviewComputational techniques and applications, CTAC-83: J. Noye and C. Fletcher, eds. (North-Holland, Amsterdam, 1984), 982 pp., ISBN 0 444 875271

Graham F. Carey.
Computer Methods in Applied Mechanics and Engineering (1985)

133 Citations

Element-by-element linear and nonlinear solution schemes

Graham F. Carey;Bo-Nan Jiang.
Communications in Applied Numerical Methods (1986)

131 Citations

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