World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
79
Citations
35198
World Ranking
158
National Ranking
93

Mechanical and Aerospace Engineering

D-Index
78
Citations
34784
World Ranking
234
National Ranking
112

Research.com Recognitions

  • 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

Roland Glowinski was affiliated with the University of Houston in the United States. Their research primarily spanned the fields of Engineering, Computer Science, and Mathematics.

Their work covered several subfields including Computational Mechanics, Computer Vision and Pattern Recognition, Numerical Analysis, Computational Theory and Mathematics, and Mathematical Physics.

Key topics of their research included:

  • Advanced Numerical Methods in Computational Mathematics
  • Medical Image Segmentation Techniques
  • Image and Signal Denoising Methods
  • Numerical methods in inverse problems
  • Differential Equations and Numerical Methods
  • Advanced Image Processing Techniques
  • Advanced Mathematical Modeling in Engineering

Frequent collaborators in their research were:

  • Xue-Cheng Tai
  • Hao Liu
  • Yongcun Song
  • Ron Kimmel
  • Hangrui Yue

The venues where their research was most often published included:

  • arXiv (Cornell University)
  • Journal of Scientific Computing
  • Communications in Optimization Theory
  • ESAIM Control Optimisation and Calculus of Variations
  • SIAM Journal on Imaging Sciences

Notable recent papers authored by Roland Glowinski included:

  • An ADMM numerical approach to linear parabolic state constrained optimal control problems, 2020, Numerische Mathematik
  • Bilinear Optimal Control of an Advection-Reaction-Diffusion System, 2022, SIAM Review

Among the awards received were:

  • Fellow of the American Mathematical Society, 2013
  • THE THOMAS J.R. HUGHES MEDAL, 2011, For outstanding contributions to establish computational mathematics for variational inequalities, extended domain methods, and others that enhanced computational fluid dynamics worldwide
  • SIAM Fellow, 2009, For contributions to variational inequalities and fluid and solid mechanics.
  • Member of Academia Europaea, 1989

Best Publications

  • Lectures on Numerical Methods for Non-Linear Variational Problems

    R. Glowinski

  • Numerical Methods for Nonlinear Variational Problems

    Roland Glowinski;J. T. Oden

  • Numerical Analysis of Variational Inequalities

    R. Glowinski;Raymond Trémolières;Jacques Louis Lions

  • 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

  • Numerical Methods for Nonlinear Variational Problems

    Roland Glowinski

  • Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics

    Roland Glowinski;Patrick Le Tallec

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

    Michel Fortin;R. Glowinski

  • A distributed Lagrange multiplier/fictitious domain method for particulate flows

    R. Glowinski;T.-W. Pan;T.I. Hesla;D.D. Joseph

  • 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

  • A fictitious domain method for Dirichlet problem and applications

    Roland Glowinski;Tsorng-Whay Pan;Jacques Periaux

  • Finite element methods for incompressible viscous flow

    Roland Glowinski;Roland Glowinski

  • A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows

    N.A. Patankar;P. Singh;D.D. Joseph;R. Glowinski

  • Numerical methods for the navier-stokes equations. Applications to the simulation of compressible and incompressible viscous flows

    M.O. Bristeau;R. Glowinski;J. Periaux

  • Méthodes de Lagrangien augmenté : applications à la résolution numérique de problèmes aux limites

    Michel Fortin;R. Glowinski

  • Exact and approximate controllability for distributed parameter systems

    R. Glowinski;J.L. Lions

  • A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations

    Roland Glowinski;Tsorng-Whay Pan;Jacques Periaux

  • Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem

    Roland Glowinski;Olivier Pironneau

  • A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods

    Roland Glowinski;Roland Glowinski;Chin-Hsien Li;Jacques-Louis Lions

  • Third International Symposium on Domain Decomposition Methods for Partial Differential Equations

    R. Glowinski;Gene H. Golub;Gérard A Meurant

  • Analyse numérique des inéquations variationnelles

    Roland Glowinski;Jacques-Louis Lions;Raymond Trémolières

Frequent Co-Authors

Jacques-Louis Lions
Jacques-Louis Lions Collège de France
Sunčica Čanić
Sunčica Čanić University of California, Berkeley
Daniel D. Joseph
Daniel D. Joseph University of Minnesota
Olivier Pironneau
Olivier Pironneau Sorbonne University
Philippe G. Ciarlet
Philippe G. Ciarlet City University of Hong Kong
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Danny C. Sorensen
Danny C. Sorensen Rice University
Xue-Cheng Tai
Xue-Cheng Tai NORCE Research
Jianliang Qian
Jianliang Qian Michigan State University
Jacques Rappaz
Jacques Rappaz École Polytechnique Fédérale de Lausanne

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