In the realm of scientific endeavor, there emerge luminaries who not only advance the frontiers of knowledge but also inspire and guide generations of scholars. Roland Glowinski, a luminary in every sense, embodies this rare combination of pioneer works and mentorship.

A scion of École polytechnique and a Doctor of Paris VI University (now Sorbonne Université), Roland's journey through academia and research was marked by an unwavering commitment to the highest standards of innovations. Following a start at the "Office de Radiodiffusion-Télévision Française" (the French Television Network), he assumed the mantle of professorship at Paris VI University in 1970.

Swiftly ascending the echelons of recognition, he assumed directorship of the scientific computing laboratory of IRIA, now INRIA, in 1976 and then a series of other esteemed appointments, in particular his directorship of CERFACS in 1992-1994 and the Cullen Professor of Mathematics position at the University of Houston from 2015 until his death in 2022.

The spectrum of Roland's contributions is vast and intricate. Let us coin out some of them (a much more complete description is available at https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.169/)

His seminal work on domain decomposition algorithms, stands as a testament to his pioneering spirit. It is this visionary approach that earned him the coveted Cray prize. The field of fictitious domain methods in Lagrangian formulation, explored with the same mastery, enabled Roland to build a very important bridge between theoretical foundations and practical applications.

In the realm of fluid dynamics, Roland's ideas led to the development of robust preconditioners for the Navier-Stokes equations, heralding a new era in computational fluid dynamics. His works on viscoelastic fluids give new iterative methods that allow to grapple with free boundaries problems. Likewise, his contributions to biharmonic problems and compressible fluids have left an indelible mark on the field and had strong applications. In particular, the new methods introduced by Roland for biharmonic problems were implemented at Dassault Aviation and were a model of fruitful scientific cooperation.

Roland's foray into the realm of control theory led to ground breaking strides in hyperbolic problems. He was the first to point out that usual convergent numerical schemes do not converge for the controllability problem: they do not give a control allowing to go from a given state to a desired target. Roland gave the explanation (the appearance in the numerical scheme of spurious high frequencies, which interfere so that the group velocity of the discrete model may vanish or be small) and powerful remedies (a two-grid approach and filtering methods).

Another Roland's captivating achievement lies in his innovative approach to fluid-structure problems, a feat that solved numerically the intricate complexity fluid flow around thousands of suspended solid balls. The elegance of his Lagrangian formulation, where Newton's laws intertwine seamlessly with the variational formulation, stands as a testament to his ingenuity. With this approach there is no need to distinguish the solid balls from the fluid.

Roland Glowinski is also widely acclaimed for his contributions to parallel computing and the finite element method, particularly in the realm of non-linear problem-solving.

Roland Glowinski's journey is dotted with accolades including the Seymour Cray prize, Marcel Dassault prize, the W.T. and Idalia Reid Prize, and his membership in the French Academy of Sciences, the French Academy of Technology and the Academia Europaea.

This collection volume contains the Roland Glowinski works published in the Compte Rendus, works published in the Comptes Rendus which were directly influenced by Roland Glowinski's achievements, and the special issue of the Comptes Rendus Mécanique "The Legacy of Roland Glowinski".

As we turn the pages of this collection volume dedicated to Roland Glowinski, we do so in celebration of a great scientist whose legacy is deeply etched in the annals of applied mathematics and computational mechanics. It is with deep gratitude that we honor a person who shows the path for us all.

Jean-Michel Coron

Glowinski, Roland; Guidoboni, Giovanna Comptes Rendus. Mathématique, Volume 347 (2009) no. 15-16, pp. 903-908 | |

Dean, Edward J.; Glowinski, Roland Comptes Rendus. Mathématique, Volume 341 (2005) no. 6, pp. 375-380 | |

Dean, Edward J.; Glowinski, Roland Comptes Rendus. Mathématique, Volume 339 (2004) no. 12, pp. 887-892 | |

Computation of the normal vector to a free surface by a finite element – finite volume mixed method Caboussat, Alexandre; Glowinski, Roland; Sicilian, James M. Comptes Rendus. Mathématique, Volume 343 (2006) no. 6, pp. 431-436 | |

Glowinski, Roland; Rossi, Tuomo Comptes Rendus. Mathématique, Volume 343 (2006) no. 7, pp. 493-498 | |

Dacorogna, Bernard; Glowinski, Roland; Pan, Tsorng-Whay Comptes Rendus. Mathématique, Volume 336 (2003) no. 6, pp. 511-518 | |

A multi-domain method for solving numerically multi-scale elliptic problems Glowinski, Roland; He, Jiwen; Rappaz, Jacques; Wagner, Joël Comptes Rendus. Mathématique, Volume 338 (2004) no. 9, pp. 741-746 | |

Dean, Edward J.; Glowinski, Roland Comptes Rendus. Mathématique, Volume 336 (2003) no. 9, pp. 779-784 | |

Approximation of multi-scale elliptic problems using patches of finite elements Glowinski, Roland; He, Jiwen; Rappaz, Jacques; Wagner, Joël Comptes Rendus. Mathématique, Volume 337 (2003) no. 10, pp. 679-684 | |

A penalty/Newton/conjugate gradient method for the solution of obstacle problems Glowinski, Roland; Kuznetsov, Yuri A.; Pan, Tsorng-Whay Comptes Rendus. Mathématique, Volume 336 (2003) no. 5, pp. 435-440 | |

Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow Pan, Tsorng-Whay; Glowinski, Roland Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 884-895 | |

Apparent viscosity of a mixture of a Newtonian fluid and interacting particles Lefebvre, Aline; Maury, Bertrand Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 923-933 | |

Adaptive finite elements for the steady free fall of a body in a Newtonian fluid Heuveline, Vincent Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 896-909 | |

A three-dimensional fluid–structure interaction method for heart valve modelling van Loon, Raoul; Anderson, Patrick D.; Baaijens, Frank P.T.; van de Vosse, Frans N. Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 856-866 | |

Čanić, Sunčica; Mikelić, Andro; Tambača, Josip Comptes Rendus. Mécanique, Volume 333 (2005) no. 12, pp. 867-883 | |

Gorynina, Olga; Legoll, Frédéric; Lelièvre, Tony; Perez, Danny Comptes Rendus. Mécanique, Volume 351 (2024) no. S1, pp. 479-503 | |

An adaptive least-squares algorithm for the elliptic Monge–Ampère equation Caboussat, Alexandre; Gourzoulidis, Dimitrios; Picasso, Marco Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-16 | |

Nonlinear compressive reduced basis approximation for PDE’s Cohen, Albert; Farhat, Charbel; Maday, Yvon; Somacal, Agustin Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-18 | |

Numerical approximations of thin structure deformations Bonito, Andrea; Guignard, Diane; Morvant, Angelique Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-37 | |

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods Biezemans, Rutger A.; Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-46 | |

Optimal feedback control of dynamical systems via value-function approximation Kunisch, Karl; Walter, Daniel Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-37 | |

Numerical analysis of an incompressible soft material poromechanics model using T-coercivity Barré, Mathieu; Grandmont, Céline; Moireau, Philippe Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-36 | |

Rajagopal, Kumbakonam Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-18 | |

A posteriori Variational Multiscale Methods for the 1D convection-diffusion equations Chacón Rebollo, Tomás; Domínguez-Delgado, Antonio; Gómez Marmol, Macarena Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-13 | |

Kuan, Jeffrey; Čanić, Sunčica; Muha, Boris Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-30 | |

Pressure jump and radial stationary solutions of the degenerate Cahn–Hilliard equation Elbar, Charles; Perthame, Benoît; Skrzeczkowski, Jakub Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-20 | |

From Domain Decomposition to Model Reduction for Large Nonlinear Structures Leturcq, Bertrand; Le Tallec, Patrick Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-17 | |

The Legacy of Roland Glowinski Bensoussan, Alain; Pironneau, Olivier Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-16 | |

Bénard, Sabrina; Cappanera, Loic; Herreman, Wietze; Nore, Caroline Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-20 | |

Glowinski and numerical control problems Fernández-Cara, Enrique Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-20 | |

A GenEO Domain Decomposition method for Saddle Point problems Nataf, Frédéric; Tournier, Pierre-Henri Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-18 | |

A linear filter regularization for POD-based reduced-order models of the quasi-geostrophic equations Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-21 | |

Beuchler, Sven; Endtmayer, Bernhard; Lankeit, Johannes; Wick, Thomas Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-23 | |

A serendipity fully discrete div-div complex on polygonal meshes Botti, Michele; Di Pietro, Daniele A.; Salah, Marwa Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-31 | |

Marigo, Jean-Jacques Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-23 | |

Evaluating a distance function Abgrall, Rémi Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-11 | |

Numerical study of transitions in lid-driven flows in shallow cavities Pan, Tsorng-Whay; Chiu, Shang-Huan; Guo, Aixia; He, Jiwen Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-17 | |

A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation Boyaval, Sébastien Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-9 | |

A quantitative analysis of Koopman operator methods for system identification and predictions Zhang, Christophe; Zuazua, Enrique Comptes Rendus. Mécanique, Volume 351 (2022) no. S1, pp. 1-31 | |

Nonlinear iterative approximation of steady incompressible chemically reacting flows Gazca-Orozco, Pablo Alexei; Heid, Pascal; Süli, Endre Comptes Rendus. Mécanique, Volume 351 (2022) no. S1, pp. 1-25 | |

Bermúdez, Alfredo; Padín, Iago Comptes Rendus. Mécanique, Volume 351 (2024) no. S1, pp. 1-22 | |

Foreword to the special issue of Comptes Rendus Mécanique in the memory of Roland Glowinski Allaire, Grégoire; Coron, Jean-Michel; Girault, Vivette Comptes Rendus. Mécanique, Volume 351 (2024) no. S1, pp. 1-3 | |

Defective Laplacians and paradoxical phenomena in crowd motion modeling Maury, Bertrand Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-32 | |

Time-harmonic electromagnetics with exact controllability and discrete exterior calculus Mönkölä, Sanna; Räbinä, Jukka; Rossi, Tuomo Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-19 | |

Network element methods for linear elasticity Coatléven, Julien Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-26 | |

Discrete moments models for Vlasov equations with non constant strong magnetic limit Charles, Frédérique; Després, Bruno; Dai, Ruiyang; Hirstoaga, Sever A. Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-23 | |

A finite element method for a two-dimensional Pucci equation Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-16 | |

Coupling linear virtual element and non-linear finite volume methods for poroelasticity Enchéry, Guillaume; Agélas, Léo Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 1-16 |