D-Index & Metrics Best Publications
Mathematics
USA
2023

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
Mechanical and Aerospace Engineering D-index 62 Citations 26,359 326 World Ranking 320 National Ranking 167
Mathematics D-index 73 Citations 31,044 421 World Ranking 146 National Ranking 83

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

2013 - Fellow of the American Mathematical Society

2011 - THE THOMAS J.R. HUGHES MEDAL For outstanding contributions to establish computational mathematics for variational inequalities, extended domain methods, and others that enhanced computational fluid dynamics worldwide

2009 - SIAM Fellow For contributions to variational inequalities and fluid and solid mechanics.

1989 - Member of Academia Europaea

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Partial differential equation
  • Numerical analysis

His primary areas of investigation include Mathematical analysis, Finite element method, Numerical analysis, Discretization and Conjugate gradient method. His studies in Mathematical analysis integrate themes in fields like Navier–Stokes equations and Mixed finite element method. His Finite element method study combines topics in areas such as Geometry and Partial differential equation.

His research integrates issues of Iterative method, Dynamic pressure, Applied mathematics and Nonlinear system in his study of Numerical analysis. The concepts of his Conjugate gradient method study are interwoven with issues in Computational fluid dynamics and Limit point. His study in Fictitious domain method is interdisciplinary in nature, drawing from both Lagrange multiplier and Classical mechanics.

His most cited work include:

  • Numerical methods for nonlinear variational problems (1585 citations)
  • Numerical Analysis of Variational Inequalities (1149 citations)
  • Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics (997 citations)

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

Roland Glowinski mainly focuses on Mathematical analysis, Finite element method, Applied mathematics, Mechanics and Numerical analysis. His Mathematical analysis study combines topics from a wide range of disciplines, such as Lagrange multiplier, Navier–Stokes equations and Conjugate gradient method. His Conjugate gradient method research focuses on Controllability and how it relates to Wave equation.

His work carried out in the field of Finite element method brings together such families of science as Discretization, Iterative method, Computational fluid dynamics and Partial differential equation. His Applied mathematics study also includes

  • Nonlinear system together with Least squares,
  • Domain decomposition methods which connect with Algorithm. As a part of the same scientific family, Roland Glowinski mostly works in the field of Mechanics, focusing on Classical mechanics and, on occasion, Direct numerical simulation.

He most often published in these fields:

  • Mathematical analysis (42.05%)
  • Finite element method (36.82%)
  • Applied mathematics (27.02%)

What were the highlights of his more recent work (between 2016-2021)?

  • Applied mathematics (27.02%)
  • Mechanics (22.88%)
  • Finite element method (36.82%)

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

Roland Glowinski spends much of his time researching Applied mathematics, Mechanics, Finite element method, Nonlinear system and Discretization. The various areas that he examines in his Applied mathematics study include Initial value problem, State variable, Numerical analysis and Relaxation. The Mechanics study combines topics in areas such as Ball, Settling, SPHERES and Bounded function.

His work deals with themes such as Mathematical analysis, Dirichlet problem, Boundary value problem, Operator splitting and Monge–Ampère equation, which intersect with Finite element method. In his research, Differential equation, Polynomial and Quartic function is intimately related to Type, which falls under the overarching field of Mathematical analysis. Roland Glowinski interconnects Conjugate gradient method, Optimal control and Robustness in the investigation of issues within Discretization.

Between 2016 and 2021, his most popular works were:

  • Splitting Methods in Communication, Imaging, Science, and Engineering (63 citations)
  • Extended ALE Method for fluid-structure interaction problems with large structural displacements (46 citations)
  • A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing (13 citations)

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

  • Mathematical analysis
  • Partial differential equation
  • Geometry

His primary areas of study are Applied mathematics, Mechanics, Viscoelasticity, Settling and Lagrange multiplier. Roland Glowinski has researched Applied mathematics in several fields, including Initial value problem, Finite element method, Monge–Ampère equation, Nonlinear system and Discretization. His Discretization study incorporates themes from Elliptic curve, Pointwise and Hessian matrix.

His work deals with themes such as Ball and SPHERES, which intersect with Mechanics. His research integrates issues of Elasticity, Wall effect, Sedimentation, Reynolds number and Viscous incompressible fluid in his study of Settling. His Lagrange multiplier study combines topics in areas such as Mathematical analysis, Tensor, Type, Cholesky decomposition and Particle number.

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

Lectures on Numerical Methods for Non-Linear Variational Problems

R. Glowinski.
(1981)

3214 Citations

Numerical Methods for Nonlinear Variational Problems

Roland Glowinski;J. T. Oden.
Journal of Applied Mechanics (1985)

2291 Citations

Numerical Analysis of Variational Inequalities

R. Glowinski;Raymond Trémolières;Jacques Louis Lions.
(1981)

2114 Citations

Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires

Roland Glowinski;A. Marroco.
Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique (1975)

1698 Citations

Numerical Methods for Nonlinear Variational Problems

Roland Glowinski.
(2013)

1679 Citations

Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics

Roland Glowinski;Patrick Le Tallec.
(1987)

1669 Citations

Augmented Lagrangian methods : applications to the numerical solution of boundary-value problems

Michel Fortin;R. Glowinski.
(1983)

1441 Citations

A distributed Lagrange multiplier/fictitious domain method for particulate flows

R. Glowinski;T.-W. Pan;T.I. Hesla;D.D. Joseph.
International Journal of Multiphase Flow (1999)

1310 Citations

Domain Decomposition Methods for Partial Differential Equations.

R. Scott;Tony F. Chan;Roland Glowinski;Jacques Periaux.
Mathematics of Computation (1991)

1193 Citations

A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow

R. Glowinski;T. W. Pan;T. I. Helsa;D. D. Joseph.
Journal of Computational Physics (2001)

1149 Citations

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