D-Index & Metrics Best Publications

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
Mathematics D-index 55 Citations 8,689 184 World Ranking 378 National Ranking 21
Engineering and Technology D-index 45 Citations 6,854 149 World Ranking 1922 National Ranking 136

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

John W. Barrett mainly focuses on Mathematical analysis, Finite element method, Quantum gravity, Quantum mechanics and Partial differential equation. The various areas that John W. Barrett examines in his Mathematical analysis study include Flow, Degenerate energy levels and Nonlinear system. The study incorporates disciplines such as Elliptic curve, Numerical analysis, Curvature and Laplace operator in addition to Finite element method.

John W. Barrett is involved in the study of Quantum gravity that focuses on Spin foam in particular. His research in Spin foam tackles topics such as Immirzi parameter which are related to areas like Asymptotic analysis. His research in Quantum mechanics focuses on subjects like Mathematical physics, which are connected to Euclidean space, Boundary value problem and Gravitational field.

His most cited work include:

  • Relativistic spin networks and quantum gravity (591 citations)
  • A Lorentzian signature model for quantum general relativity (325 citations)
  • Invariants of piecewise-linear 3-manifolds (226 citations)

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

John W. Barrett mainly investigates Mathematical analysis, Finite element method, Quantum gravity, Numerical analysis and Discretization. As a member of one scientific family, John W. Barrett mostly works in the field of Mathematical analysis, focusing on Nonlinear system and, on occasion, Space. His Finite element method study integrates concerns from other disciplines, such as Piecewise linear function, Partial differential equation, Curvature and Surface.

His work carried out in the field of Quantum gravity brings together such families of science as Asymptotic formula, Theoretical physics and Mathematical physics. His Numerical analysis research is multidisciplinary, incorporating elements of Geometry and Applied mathematics. John W. Barrett works mostly in the field of Spin foam, limiting it down to topics relating to Immirzi parameter and, in certain cases, Asymptotic analysis.

He most often published in these fields:

  • Mathematical analysis (50.55%)
  • Finite element method (38.55%)
  • Quantum gravity (14.91%)

What were the highlights of his more recent work (between 2012-2021)?

  • Mathematical analysis (50.55%)
  • Finite element method (38.55%)
  • Flow (9.82%)

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

His primary areas of investigation include Mathematical analysis, Finite element method, Flow, Discretization and Parametric statistics. His Mathematical analysis research includes themes of Mean curvature, Compressibility and Willmore energy. His study in Finite element method is interdisciplinary in nature, drawing from both Mechanics, Rotational symmetry, Surface, Curvature and Numerical analysis.

His Curvature research incorporates themes from Hypersurface and Classical mechanics. The concepts of his Discretization study are interwoven with issues in Mixed finite element method, Extended finite element method and Robustness. John W. Barrett focuses mostly in the field of Nonlinear system, narrowing it down to matters related to Partial differential equation and, in some cases, Space.

Between 2012 and 2021, his most popular works were:

  • Numerical computations of the dynamics of fluidic membranes and vesicles (27 citations)
  • A stable numerical method for the dynamics of fluidic membranes (26 citations)
  • Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers (26 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

Mathematical analysis, Finite element method, Discretization, Free boundary problem and Parametric statistics are his primary areas of study. His Mathematical analysis study incorporates themes from Compressibility and Fuzzy sphere. His studies deal with areas such as Compact space, Quadratic equation, Bounded function, Nonlinear system and Weak solution as well as Compressibility.

His Finite element method research incorporates elements of Motion, Numerical analysis, Curvature and Surface. His Discretization study combines topics from a wide range of disciplines, such as Variational inequality and Extended finite element method. His research in Free boundary problem intersects with topics in Flow and Classical mechanics.

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

Relativistic spin networks and quantum gravity

John W. Barrett;Louis Crane.
Journal of Mathematical Physics (1998)

605 Citations

Asymptotic analysis of the EPRL four-simplex amplitude

John W. Barrett;R.J. Dowdall;Winston J. Fairbairn;Henrique Gomes.
arXiv: General Relativity and Quantum Cosmology (2009)

341 Citations

A Lorentzian signature model for quantum general relativity

John W. Barrett;Louis Crane.
Classical and Quantum Gravity (2000)

333 Citations

Invariants of piecewise-linear 3-manifolds

John W. Barrett;Bruce W. Westbury.
Transactions of the American Mathematical Society (1996)

240 Citations

Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility

John W. Barrett;James F. Blowey;Harald Garcke.
SIAM Journal on Numerical Analysis (1999)

240 Citations

Asymptotic analysis of the Engle–Pereira–Rovelli–Livine four-simplex amplitude

John W. Barrett;Richard J. Dowdall;Winston J. Fairbairn;Henrique Gomes.
Journal of Mathematical Physics (2009)

223 Citations

Finite element approximation of the p -Laplacian

John W. Barrett;Wenbin Liu.
Mathematics of Computation (1993)

215 Citations

The Quantum Tetrahedron in 3 and 4 Dimensions

John C. Baez;John W. Barrett.
Advances in Theoretical and Mathematical Physics (1999)

203 Citations

Spherical Categories

John W. Barrett;Bruce W. Westbury.
(1993)

202 Citations

Lorentzian spin foam amplitudes: graphical calculus and asymptotics

John W Barrett;Richard J Dowdall;Winston J Fairbairn;Frank Hellmann.
Classical and Quantum Gravity (2010)

192 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing John W. Barrett

Harald Garcke

Harald Garcke

University of Regensburg

Publications: 47

Endre Süli

Endre Süli

University of Oxford

Publications: 31

Charles M. Elliott

Charles M. Elliott

University of Warwick

Publications: 23

Richard E. Ewing

Richard E. Ewing

Texas A&M University

Publications: 23

Alain Connes

Alain Connes

Collège de France

Publications: 18

Wenbin Liu

Wenbin Liu

University of Kent

Publications: 17

Junseok Kim

Junseok Kim

Korea University

Publications: 17

John C. Baez

John C. Baez

University of California, Riverside

Publications: 16

Ricardo H. Nochetto

Ricardo H. Nochetto

University of Maryland, College Park

Publications: 15

Steven M. Wise

Steven M. Wise

University of Tennessee at Knoxville

Publications: 15

Michael B. Giles

Michael B. Giles

University of Oxford

Publications: 14

Lars Diening

Lars Diening

Bielefeld University

Publications: 14

Carsten Carstensen

Carsten Carstensen

Humboldt-Universität zu Berlin

Publications: 13

Cheng Wang

Cheng Wang

University of Massachusetts Dartmouth

Publications: 13

Ansgar Jüngel

Ansgar Jüngel

TU Wien

Publications: 12

Shahn Majid

Shahn Majid

Queen Mary University of London

Publications: 12

Trending Scientists

Theoharis Theoharis

Theoharis Theoharis

Norwegian University of Science and Technology

Qinghua Huang

Qinghua Huang

Northwestern Polytechnical University

John I. Brauman

John I. Brauman

Stanford University

Yong Ding

Yong Ding

Lanzhou University

Meng-Fei Luo

Meng-Fei Luo

Zhejiang Normal University

Liang-Hu Qu

Liang-Hu Qu

Sun Yat-sen University

Moysis Mylonas

Moysis Mylonas

Natural History Museum of Crete

Annapaola Rizzoli

Annapaola Rizzoli

Fondazione Edmund Mach

David N. Taylor

David N. Taylor

Johns Hopkins University

Olivier Cerdan

Olivier Cerdan

Bureau de Recherches Géologiques et Minières

Frank Raes

Frank Raes

Ghent University

Thilo Deckersbach

Thilo Deckersbach

Harvard University

Clive R. Taylor

Clive R. Taylor

University of Southern California

Martin Prince

Martin Prince

King's College London

Alan S. Hilibrand

Alan S. Hilibrand

Thomas Jefferson University

Jerrold M. Post

Jerrold M. Post

George Washington University

Something went wrong. Please try again later.