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 35 Citations 5,446 131 World Ranking 1428 National Ranking 622
Engineering and Technology D-index 30 Citations 4,579 105 World Ranking 6218 National Ranking 2183

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

His primary areas of investigation include Finite element method, Mathematical analysis, Navier–Stokes equations, Nonlinear system and Reynolds number. William Layton has researched Finite element method in several fields, including Discretization and Geometry. His Bounded function study in the realm of Mathematical analysis interacts with subjects such as Coupling.

Many of his studies involve connections with topics such as Turbulence and Navier–Stokes equations. His Turbulence research incorporates themes from Flow, Numerical analysis and Statistical physics. His Nonlinear system study incorporates themes from Partial differential equation and Scaling.

His most cited work include:

  • Coupling Fluid Flow with Porous Media Flow (384 citations)
  • Mathematics of large eddy simulation of turbulent flows (267 citations)
  • Introduction to the Numerical Analysis of Incompressible Viscous Flows (182 citations)

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

William Layton focuses on Mathematical analysis, Turbulence, Finite element method, Applied mathematics and Numerical analysis. His Mathematical analysis research includes themes of Navier–Stokes equations, Compressibility and Nonlinear system. William Layton has included themes like Deconvolution and Statistical physics in his Turbulence study.

The concepts of his Finite element method study are interwoven with issues in Discretization, Flow, Geometry and Linear system. As a part of the same scientific family, William Layton mostly works in the field of Applied mathematics, focusing on Stokes flow and, on occasion, Weak solution. The Numerical analysis study combines topics in areas such as Regularization and Relaxation.

He most often published in these fields:

  • Mathematical analysis (46.29%)
  • Turbulence (26.86%)
  • Finite element method (25.14%)

What were the highlights of his more recent work (between 2015-2020)?

  • Turbulence (26.86%)
  • Mathematical analysis (46.29%)
  • Discretization (16.00%)

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

His primary scientific interests are in Turbulence, Mathematical analysis, Discretization, Applied mathematics and Mechanics. His Turbulence research is multidisciplinary, incorporating perspectives in Statistical physics, Periodic boundary conditions and Dissipation. His study looks at the intersection of Statistical physics and topics like Reynolds number with Reynolds stress.

His research in the fields of Space overlaps with other disciplines such as Compression method. His research on Applied mathematics also deals with topics like

  • Backward Euler method which is related to area like Line, Curvature and Algorithm,
  • Ideal and Lift most often made with reference to Fluid dynamics,
  • Drag which connect with Filter and Navier–Stokes equations. His studies in Mechanics integrate themes in fields like Magnetohydrodynamic drive, Magnetohydrodynamics, Numerical analysis and Reduced order.

Between 2015 and 2020, his most popular works were:

  • Energy dissipation in the Smagorinsky model of turbulence (18 citations)
  • Algorithms and models for turbulence not at statistical equilibrium (14 citations)
  • Time filters increase accuracy of the fully implicit method (13 citations)

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

  • Mathematical analysis
  • Algebra
  • Geometry

His main research concerns Mathematical analysis, Discretization, Algorithm, Compressibility and Numerical tests. His Mathematical analysis research integrates issues from Viscosity and Dissipation. His Discretization study integrates concerns from other disciplines, such as Numerical analysis and Applied mathematics.

His Algorithm research includes themes of Turbulence modeling, Statistical physics and Reynolds number. His Compressibility study combines topics from a wide range of disciplines, such as Order, Body force and Acoustic wave. His Numerical tests research is multidisciplinary, relying on both Continuum, Stability, Fully coupled, Parallel computing and Solver.

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

Coupling Fluid Flow with Porous Media Flow

William J. Layton;Friedhelm Schieweck;Ivan Yotov.
SIAM Journal on Numerical Analysis (2002)

572 Citations

Mathematics of large eddy simulation of turbulent flows

Luigi Carlo Berselli;T Iliescu;W. J. Layton.
(2005)

417 Citations

Introduction to the Numerical Analysis of Incompressible Viscous Flows

William Layton.
(2008)

300 Citations

A Two-Level Method with Backtracking for the Navier--Stokes Equations

W. Layton;L. Tobiska.
SIAM Journal on Numerical Analysis (1998)

206 Citations

A two-level discretization method for the Navier-Stokes equations

W. Layton.
Computers & Mathematics With Applications (1993)

191 Citations

A connection between subgrid scale eddy viscosity and mixed methods

W. Layton.
Applied Mathematics and Computation (2002)

172 Citations

APPROXIMATION OF THE LARGER EDDIES IN FLUID MOTIONS II: A MODEL FOR SPACE-FILTERED FLOW

Giovanni P. Galdi;William J. Layton.
Mathematical Models and Methods in Applied Sciences (2000)

159 Citations

Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis

William J. Layton;Leo G. Rebholz.
(2012)

131 Citations

A two-level variational multiscale method for convection-dominated convection-diffusion equations

Volker John;Songul Kaya;William Layton.
Computer Methods in Applied Mechanics and Engineering (2006)

127 Citations

On a well-posed turbulence model

William J. Layton;Roger Lewandowski.
Discrete and Continuous Dynamical Systems-series B (2005)

119 Citations

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