D-Index & Metrics Best Publications
Mechanical and Aerospace Engineering
USA
2022

D-Index & Metrics

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
Mechanical and Aerospace Engineering D-index 120 Citations 68,871 251 World Ranking 4 National Ranking 3

Research.com Recognitions

Awards & Achievements

2022 - Research.com Mechanical and Aerospace Engineering in United States Leader Award

2020 - A.C. Eringen Medal

2017 - SIAM/ACM Prize in Computational Science and Engineering For pioneering finite element methods to solve PDEs that are used world-wide in engineering design and simulation, and science.

2011 - Fellow of the Royal Society, United Kingdom

2009 - SIAM Fellow For the development of finite element methods for solid, structural, and fluid mechanics.

2009 - Member of the National Academy of Sciences

2009 - Theodore von Karman Medal

2007 - Fellow of the American Academy of Arts and Sciences

2007 - Timoshenko Medal, The American Society of Mechanical Engineers

1998 - IACM Congress Medal (Gauss-Newton Medal)

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

1997 - John von Neumann Medal, U.S. Association for Computational Mechanics (USACM) For pioneering contributions to broad fields of computational mechanics and particularly for his work on stabilized methods for computational fluid dynamics

1995 - Member of the National Academy of Engineering For contributions to the development of finite element methods for solid-structural and fluid mechanics.

1986 - Fellow of the American Society of Mechanical Engineers

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Finite element method
  • Geometry

Thomas J. R. Hughes focuses on Finite element method, Mathematical analysis, Applied mathematics, Isogeometric analysis and Mixed finite element method. He is interested in Galerkin method, which is a branch of Finite element method. Thomas J. R. Hughes has included themes like Bending of plates, Incompressible flow and Boundary knot method in his Mathematical analysis study.

His Applied mathematics research integrates issues from Weighting, Geometry, Nonlinear system, Algorithm and Calculus. Thomas J. R. Hughes has researched Isogeometric analysis in several fields, including Basis, Non-uniform rational B-spline, Basis function, Mathematical optimization and T-spline. Thomas J. R. Hughes works mostly in the field of Mixed finite element method, limiting it down to topics relating to Extended finite element method and, in certain cases, Smoothed finite element method and Pressure-correction method.

His most cited work include:

  • The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (4695 citations)
  • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations (4208 citations)
  • Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement (3447 citations)

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

His main research concerns Finite element method, Mathematical analysis, Isogeometric analysis, Applied mathematics and Galerkin method. His study focuses on the intersection of Finite element method and fields such as Computational fluid dynamics with connections in the field of Compressible flow. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Navier–Stokes equations, Nonlinear system, Boundary knot method and Discontinuous Galerkin method.

Thomas J. R. Hughes combines subjects such as Non-uniform rational B-spline, Basis function, T-spline, Discretization and Algorithm with his study of Isogeometric analysis. As a part of the same scientific family, Thomas J. R. Hughes mostly works in the field of Applied mathematics, focusing on Classical mechanics and, on occasion, Mechanics. His studies in Galerkin method integrate themes in fields like Convection–diffusion equation and Compressibility.

He most often published in these fields:

  • Finite element method (44.79%)
  • Mathematical analysis (28.22%)
  • Isogeometric analysis (25.15%)

What were the highlights of his more recent work (between 2015-2021)?

  • Isogeometric analysis (25.15%)
  • Applied mathematics (24.95%)
  • Finite element method (44.79%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Isogeometric analysis, Applied mathematics, Finite element method, Spline and Discretization. His Isogeometric analysis research incorporates elements of Partition of unity, Partial differential equation, Basis function, Mathematical optimization and Trimming. His research in Applied mathematics intersects with topics in Galerkin method, Numerical integration, Degree of a polynomial and Collocation.

Thomas J. R. Hughes is interested in Quadrilateral, which is a field of Finite element method. His Discretization study is concerned with the larger field of Mathematical analysis. His studies examine the connections between Mathematical analysis and genetics, as well as such issues in Nonlinear system, with regards to Curvilinear coordinates.

Between 2015 and 2021, his most popular works were:

  • A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects (181 citations)
  • A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects (72 citations)
  • Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations (66 citations)

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

The Finite Element Method: Linear Static and Dynamic Finite Element Analysis

Thomas J. R. Hughes.
(1987)

12667 Citations

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. N. Brooks;T. J. R. Hughes.
Computer Methods in Applied Mechanics and Engineering (1990)

6325 Citations

Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

Thomas J Hughes;J. A. Cottrell;Y. Bazilevs.
Computer Methods in Applied Mechanics and Engineering (2005)

5020 Citations

Mathematical foundations of elasticity

Jerrold E. Marsden;Thomas J. R. Hughes;D. E. Carlson.
(1982)

3745 Citations

Isogeometric Analysis: Toward Integration of CAD and FEA

J. Austin Cottrell;Thomas J. R. Hughes;Yuri Bazilevs.
(2009)

3079 Citations

Improved numerical dissipation for time integration algorithms in structural dynamics

Hans M. Hilber;Thomas J. R. Hughes;Robert L. Taylor.
Earthquake Engineering & Structural Dynamics (1977)

2610 Citations

Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

Thomas J.R. Hughes.
Computer Methods in Applied Mechanics and Engineering (1995)

2033 Citations

A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of

T J R Hughes;L P Franca;M Balestra.
Applied Mechanics and Engineering (1986)

1884 Citations

Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆

Thomas J.R. Hughes;Wing Kam Liu;Thomas K. Zimmermann.
Computer Methods in Applied Mechanics and Engineering (1981)

1825 Citations

A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations

Thomas J.R. Hughes;Leopoldo P. Franca;Gregory M. Hulbert.
Computer Methods in Applied Mechanics and Engineering (1989)

1655 Citations

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