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
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.
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
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.
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.
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Lectures on Numerical Methods for Non-Linear Variational Problems
Numerical Methods for Nonlinear Variational Problems
Roland Glowinski;J. T. Oden.
Journal of Applied Mechanics (1985)
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.
Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique (1975)
Numerical Methods for Nonlinear Variational Problems
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.
International Journal of Multiphase Flow (1999)
Domain Decomposition Methods for Partial Differential Equations.
R. Scott;Tony F. Chan;Roland Glowinski;Jacques Periaux.
Mathematics of Computation (1991)
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)
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