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
Engineering and Technology D-index 30 Citations 9,711 85 World Ranking 6536 National Ranking 445

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Finite element method
  • Thermodynamics

His primary areas of investigation include Finite element method, Mathematical analysis, Classification of discontinuities, Partition of unity and Structural engineering. His Finite element method study incorporates themes from Programming language, Domain-specific language, Partial differential equation and Computational science. His study on Source code and Software is often connected to Electromagnetics as part of broader study in Programming language.

His research investigates the connection with Mathematical analysis and areas like Mixed finite element method which intersect with concerns in Galerkin method, First-order partial differential equation, Spectral method, Differential equation and Discontinuous Galerkin method. His Partition of unity study deals with Displacement intersecting with Instability, Extended finite element method and Viscoplasticity. Garth N. Wells combines subjects such as Discontinuity and Plasticity with his study of Structural engineering.

His most cited work include:

  • Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (1278 citations)
  • The FEniCS Project Version 1.5 (772 citations)
  • A new method for modelling cohesive cracks using finite elements (713 citations)

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

His primary areas of study are Finite element method, Mathematical analysis, Discontinuous Galerkin method, Classification of discontinuities and Mechanics. His work carried out in the field of Finite element method brings together such families of science as Computational science and Applied mathematics. The concepts of his Computational science study are interwoven with issues in Python, Software and Computation.

His Mathematical analysis research incorporates themes from Navier–Stokes equations, Galerkin method and Advection. His research investigates the connection between Discontinuous Galerkin method and topics such as Pointwise that intersect with issues in Polynomial. The Classification of discontinuities study combines topics in areas such as Displacement, Displacement field, Partition of unity, Continuum and Constitutive equation.

He most often published in these fields:

  • Finite element method (54.78%)
  • Mathematical analysis (25.48%)
  • Discontinuous Galerkin method (18.47%)

What were the highlights of his more recent work (between 2013-2021)?

  • Finite element method (54.78%)
  • Discontinuous Galerkin method (18.47%)
  • Applied mathematics (12.10%)

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

Garth N. Wells mostly deals with Finite element method, Discontinuous Galerkin method, Applied mathematics, Mathematical analysis and Pointwise. His Finite element method research is under the purview of Algebra. His Discontinuous Galerkin method research focuses on Discretization and how it relates to Simple.

His studies in Applied mathematics integrate themes in fields like Range and Linear system, Preconditioner. His research in Mathematical analysis tackles topics such as Solenoidal vector field which are related to areas like Galerkin method, Stokes flow and Basis. Garth N. Wells has researched Galerkin method in several fields, including Mixed finite element method, Type and Extended finite element method.

Between 2013 and 2021, his most popular works were:

  • The FEniCS Project Version 1.5 (772 citations)
  • Unified form language: A domain-specific language for weak formulations of partial differential equations (200 citations)
  • Modeling an Augmented Lagrangian for Blackbox Constrained Optimization (56 citations)

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

  • Mathematical analysis
  • Geometry
  • Thermodynamics

His main research concerns Finite element method, Applied mathematics, Discontinuous Galerkin method, Range and Magma. His Finite element method research incorporates elements of Mechanical engineering, Partial differential equation and Einstein notation. His Applied mathematics study combines topics in areas such as Discretization, Simple and Linear system.

The study incorporates disciplines such as Solenoidal vector field, Vector field and Pointwise, Mathematical analysis in addition to Discontinuous Galerkin method. His Mathematical analysis study integrates concerns from other disciplines, such as Basis, Mixed finite element method, Galerkin method, Stokes flow and Extended finite element method. His Magma study combines topics from a wide range of disciplines, such as Work, Block, System of linear equations and Preconditioner.

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

Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

Anders Logg;Kent-Andre Mardal;Garth Wells.
(2012)

2414 Citations

The FEniCS Project Version 1.5

Martin S. Alnæs;Jan Blechta;Johan Hake;August Johansson.
Archive of Numerical Software (2015)

1248 Citations

A new method for modelling cohesive cracks using finite elements

G. N. Wells;L. J. Sluys.
International Journal for Numerical Methods in Engineering (2001)

1173 Citations

DOLFIN: Automated finite element computing

Anders Logg;Garth N. Wells.
ACM Transactions on Mathematical Software (2010)

643 Citations

Unified form language: A domain-specific language for weak formulations of partial differential equations

Martin S. Alnæs;Anders Logg;Kristian B. Ølgaard;Marie E. Rognes.
ACM Transactions on Mathematical Software (2014)

323 Citations

From continuous to discontinuous failure in a gradient-enhanced continuum damage model

Angelo Simone;Garth N. Wells;Lambertus J. Sluys.
Computer Methods in Applied Mechanics and Engineering (2003)

247 Citations

DOLFIN: a C++/Python Finite Element Library

Anders Logg;Anders Logg;Garth N. Wells;Johan Hake;Johan Hake.
Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.) (2012)

221 Citations

A discontinuous Galerkin method for the Cahn-Hilliard equation

Garth N. Wells;Ellen Kuhl;Krishna Garikipati.
Journal of Computational Physics (2006)

214 Citations

Three-dimensional embedded discontinuity model for brittle fracture

G.N. Wells;L.J. Sluys.
International Journal of Solids and Structures (2001)

195 Citations

A consistent geometrically non‐linear approach for delamination

G. N. Wells;R. de Borst;L. J. Sluys.
International Journal for Numerical Methods in Engineering (2002)

191 Citations

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