Edit Profile (opens in new tab) Glowinski, Roland Co-Author Distance Author ID: glowinski.roland Published as: Glowinski, Roland; Glowinski, R.; Glowinskí, R. more...less Homepage: https://www.math.uh.edu/~roland/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 397 Publications since 1970, including 11 Books and 2 Additional arXiv Preprints 35 Contributions as Editor · 3 Further Contributions Biographic References: 5 Publications Co-Authors: 242 Co-Authors with 399 Joint Publications 7,156 Co-Co-Authors all top 5 Co-Authors 35 single-authored 89 Périaux, Jacques F. 80 Pan, Tsorng-Whay 32 Pironneau, Olivier 28 Dean, Edward Jerome 23 Bristeau, Marie-Odile 22 Lions, Jacques-Louis 21 He, Jiwen 20 Caboussat, Alexandre 16 Joseph, Daniel D. 16 Le Tallec, Patrick 13 Mantel, Bertrand 11 Quaini, Annalisa 10 Perrier, Pierre C. 9 Čanić, Sunčica 9 Guidoboni, Giovanna 9 Tai, Xuecheng 8 Kuznetsov, Yuriĭ Alekseevich 7 Dinh, Q. V. 7 Girault, Vivette 7 Hesla, Todd I. 6 Bourgat, Jean-François 6 Lapin, Serguei 6 Leung, Shingyu 6 Liu, Hao 6 Poirier, Gérard 6 Qian, Jianliang 6 Ramos, Angel Manuel 5 Kuo, Ying Ming 5 Li, Chinhsien 5 Shiau, LieJune 5 Wheeler, Mary Fanett 4 Bensoussan, Alain 4 Hao, Jian 4 He, Qiaolin 4 Hoppe, Ronald H. W. 4 Juarez V., Lorenzo Hector 4 Juárez, L. Hector 4 Kärkkäinen, Tommi 4 Kearsley, Anthony José 4 Marrocco, Americo 4 Nasser, George 4 Rappaz, Jacques 4 Rossi, Tuomo 4 Shi, Lingling 4 Sorensen, Danny C. 4 Toivanen, Jari 4 Widlund, Olof B. 3 Azencott, Robert 3 Basting, Steffen 3 Bokil, Vrushali A. 3 Bukač, Martina 3 Cea, Jean 3 Chen, Hongquan 3 Chen, Zhangxin 3 Foss, Frederick J. II 3 Gourzoulidis, Dimitrios 3 Rogé, Gilbert 3 Song, YongCun 3 Tremolieres, Raymond 3 Wagner, Joël 3 Wells, Raymond O. jun. 3 Yuan, Xiaoming 2 Absi, Elie 2 Angrand, Françoise 2 Bégis, D. 2 Bertin, John J. 2 Boisserie, Jean-Marie 2 Cavallini, Nicola 2 Chan, Tony Fan-Cheong 2 Chang, Chien-Cheng 2 Chiu, Shang-Huan 2 Ciarlet, Philippe Gaston 2 Cowsar, Lawrence C. 2 Dacorogna, Bernard 2 Dumay, J. M. 2 Dutto, Laura Cecilia 2 Fortin, Michel 2 Gaiffe, Stéphanie 2 Gómez, Susana 2 Guo, Aixia 2 Ivorra, Benjamin 2 Juárez-Valencia, L. Héctor 2 Kawarada, Hideo 2 Kimmel, Ron 2 Kinton, Wendy A. 2 Ladipo, Kehinde Omobola 2 Lapin, Aleksandr Vasil’evich 2 León-Velasco, D. Assaely 2 Luo, Shousheng 2 Masson, Roland 2 Meurant, Gérard A. 2 Muha, Boris 2 Neittaanmäki, Pekka J. 2 Niu, Xiting 2 Osher, Stanley Joel 2 Pons, Victoria 2 Pouletty, C. 2 Rascanu, Aurel 2 Rieder, Andreas 2 Sicilian, James M. ...and 168 more Co-Authors all top 5 Serials 17 Journal of Computational Physics 16 Computer Methods in Applied Mechanics and Engineering 11 Journal of Scientific Computing 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 8 International Journal for Numerical Methods in Fluids 6 Journal of Optimization Theory and Applications 6 Numerische Mathematik 6 Chinese Annals of Mathematics. Series B 6 Applied Mathematics Letters 6 Comptes Rendus de l’Académie des Sciences. Série I 6 SIAM Journal on Scientific Computing 6 Journal of Numerical Mathematics 5 Journal of Fluid Mechanics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 SIAM Journal on Imaging Sciences 4 Calcolo 4 Mathematical and Computer Modelling 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Review 4 International Journal of Computational Fluid Dynamics 4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Journal of Non-Newtonian Fluid Mechanics 3 East-West Journal of Numerical Mathematics 3 Computational Methods in Applied Mathematics 3 International Journal of Numerical Analysis and Modeling 3 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 3 Scientific Computation 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 International Journal of Multiphase Flow 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Scientific and Statistical Computing 2 Systems & Control Letters 2 Journal of Computational Mathematics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Journal de Mécanique 2 Lecture Notes in Computer Science 2 Méthodes Mathématiques de l’Informatique 2 Progress in Scientific Computing 2 Studies in Mathematics and its Applications 2 Communications in Computational Physics 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Computers and Fluids 1 Computers and Structures 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annales des Sciences Mathématiques du Québec 1 International Journal for Numerical Methods in Engineering 1 RAIRO. Analyse Numérique 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Stochastic Analysis and Applications 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Japan Journal of Applied Mathematics 1 Communications in Applied Numerical Methods 1 Surveys on Mathematics for Industry 1 Numerical Algorithms 1 Matemática Aplicada e Computacional 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Physics of Fluids 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 RIMS Kokyuroku 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Zhejiang University. Science 1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Journal of Computational Acoustics 1 Pacific Journal of Optimization 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Contemporary Mathematics 1 Cuadernos del Instituto de Matematica “Beppo Levi” 1 Encyclopedia of Mathematics and Its Applications 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Lecture Notes in Economics and Mathematical Systems 1 Lecture Notes in Mathematics 1 Lecture Notes in Physics 1 Lecture Notes in Pure and Applied Mathematics 1 Notes on Numerical Fluid Mechanics 1 SIAM Studies in Applied Mathematics 1 The Texas Finite Element Series 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Handbook of Numerical Analysis 1 Computational Methods in Applied Sciences 1 Radon Series on Computational and Applied Mathematics 1 Chinese Journal of Engineering Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering ...and 3 more Serials all top 5 Fields 260 Numerical analysis (65-XX) 216 Fluid mechanics (76-XX) 146 Partial differential equations (35-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 55 Mechanics of deformable solids (74-XX) 39 Systems theory; control (93-XX) 35 General and overarching topics; collections (00-XX) 32 Operations research, mathematical programming (90-XX) 14 Biology and other natural sciences (92-XX) 12 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 10 Information and communication theory, circuits (94-XX) 9 Mechanics of particles and systems (70-XX) 7 Potential theory (31-XX) 7 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 360 Publications have been cited 9,523 times in 6,246 Documents Cited by ▼ Year ▼ Sur l’approximation, par éléments finis d’ordre un, et la résolution, par penalisation-dualité, d’une classe de problèmes de Dirichlet non linéaires. Zbl 0368.65053 Glowinski, R.; Marroco, A. 613 1975 Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Zbl 0698.73001 Glowinski, Roland; Le Tallec, Patrick 573 1989 Augmented Lagrangian methods: Applications to the numerical solution of boundary-value problems. (Transl. from the French). Zbl 0525.65045 561 1983 Numerical methods for nonlinear variational problems. Zbl 0536.65054 Glowinski, Roland 497 1984 Numerical analysis of variational inequalities. Transl. and rev. ed. Zbl 0463.65046 Glowinski, Roland; Lions, Jacques-Louis; Tremolieres, Raymond 448 1981 Numerical solution of nonlinear boundary value problems by variational methods. Applications. Zbl 0575.65123 Glowinski, R. 382 1984 Numerical analysis of variational inequalities. (Численное исследование вариационных неравенств. Translation from the French by A. S. Kravchuk.) Zbl 0508.65029 Glowinski, R.; Lions, J. L.; Trémolières, R. 335 1979 A distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76592 Glowinski, R.; Pan, T.-W.; Hesla, T. I.; Joseph, D. D. 324 1999 A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097 Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J. 319 2001 A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078 Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 232 1994 Finite element methods for incompressible viscous flow. Zbl 1040.76001 Glowinski, Roland 221 2003 Analyse numérique des inéquations variationnelles. Tome 1: Théorie générale premieres applications. Tome 2: Applications aux phénomènes stationnaires et d’évolution. Zbl 0358.65091 Glowinski, R.; Lions, J. L.; Tremolieres, R. 139 1976 Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050 Glowinski, Roland 132 2008 A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76712 Patankar, N. A.; Singh, P.; Joseph, D. D.; Glowinski, R.; Pan, T.-W. 119 2000 A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Zbl 0845.76069 Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 109 1994 Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002 Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen 98 2008 Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056 Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica 98 2009 Numerical methods for the first biharmonic equation and for the two- dimensional Stokes problem. Zbl 0427.65073 Glowinski, R.; Pironneau, O. 91 1979 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002 Glowinski, Roland; Rappaz, Jacques 86 2003 On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098 Glowinski, Roland 85 2014 A numerical approach to the exact boundary controllability of the wave equation. I: Dirichlet controls: Description of the numerical methods. Zbl 0699.65055 Glowinski, Roland; Li, Chin-Hsien; Lions, Jacques-Louis 83 1990 Lectures on numerical methods for non-linear variational problems. Zbl 0456.65035 Glowinski, R. 82 1980 Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036 82 1982 Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105 Glowinski, Roland; Wheeler, Mary Fanett 81 1988 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 78 2016 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062 Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 78 2013 Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076 Girault, V.; Glowinski, R. 75 1995 Exact and approximate controllability for distributed parameter systems. Zbl 0838.93014 Glowinski, R.; Lions, J. L. 68 1995 Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Méthodes de résolution des problèmes approches. Zbl 0323.90063 Begis, D.; Glowinski, R. 63 1975 On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061 Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna 62 2007 Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Zbl 0916.76052 Glowinski, R.; Pan, T. W.; Périaux, J. 60 1998 Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116 Dean, E. J.; Glowinski, R. 60 2006 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369 Glowinski, R.; Kuznetsov, Yu. 59 2007 Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075 Glowinski, R.; Keller, H. B.; Reinhart, L. 56 1985 Active control and drag optimization for flow past a circular cylinder. I: Oscillatory cylinder rotation. Zbl 0977.76021 He, J.-W.; Glowinski, R.; Metcalfe, R.; Nordlander, A.; Periaux, J. 55 2000 Wavelet solutions of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Zbl 0799.65109 Glowinski, Roland; Lawton, Wayne; Ravachol, Michel; Tenenbaum, Eric 53 1990 On exact and approximate boundary controllabilities for the heat equation: A numerical approach. Zbl 0825.93316 Carthel, C.; Glowinski, R.; Lions, J. L. 51 1994 Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation. Zbl 0763.76042 Glowinski, R. 49 1992 Nash equilibria for the multiobjective control of linear partial differential equations. Zbl 1012.49020 Ramos, A. M.; Glowinski, R.; Periaux, J. 44 2002 Exact and approximate controllability for distributed parameter systems. Zbl 0838.93013 Glowinski, R.; Lions, J. L. 42 1994 On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions. Zbl 0423.65059 Glowinski, R.; Pironneau, O. 40 1979 A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies. I: Case where the rigid body motions are known a priori. Zbl 0885.76073 Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 39 1997 Finite element methods for Navier-Stokes equations. Zbl 0743.76051 Glowinski, Roland; Pironneau, Olivier 38 1992 Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041 Glowinski, R.; Guidoboni, G.; Pan, T.-W. 38 2006 Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065 Glowinski, Roland 37 2015 A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line. Zbl 1416.76111 He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping 37 2011 A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow. Zbl 0971.76046 Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Périaux, Jacques 36 1999 A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change. Zbl 0877.35066 Bamberger, Alain; Glowinski, Roland; Tran, Quang Huy 35 1997 A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084 Glowinski, R.; Kinton, W.; Wheeler, M. F. 35 1989 Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach. Zbl 1027.49020 Ramos, A. M.; Glowinski, R.; Periaux, J. 35 2002 Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow. Zbl 1178.76235 Pan, Tsorng-Whay; Glowinski, Roland 33 2002 Migration of a sphere in tube flow. Zbl 1082.76028 Yang, B. H.; Wang, J.; Joseph, D. D.; Hu, H. H.; Pan, T.-W.; Glowinski, R. 32 2005 Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089 Bensoussan, A.; Glowinski, R.; Rǎşcanu, A. 31 1992 A distributed Lagrange multiplier/fictious domain method for the simulation of flow around moving rigid bodies: Application to particulate flow. Zbl 0970.76057 Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Periaux, Jacques 31 2000 On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems. Zbl 0423.76047 Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P. 31 1979 Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1063.65121 Dean, Edward J.; Glowinski, Roland 31 2004 Extended ALE method for fluid-structure interaction problems with large structural displacements. Zbl 1378.74020 Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland 31 2017 Variational formulation and algorithm for trace operator in domain decomposition calculations. Zbl 0684.65094 Bourgat, J. F.; Glowinski, Roland; Le Tallec, Patrick; Vidrascu, Marina 31 1989 Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205 Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng 30 2016 First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019 30 1988 An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119 Dean, E. J.; Glowinski, R. 30 2006 Controllability methods for the computation of time-periodic solutions; application to scattering. Zbl 0926.65054 Bristeau, M. O.; Glowinski, R.; Périaux, J. 29 1998 Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach. Zbl 1028.65120 Dean, Edward J.; Glowinski, Roland 29 2003 On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012 Glowinski, Roland; Wachs, Anthony 27 2011 Fluidization of 1204 spheres: Simulation and experiment. Zbl 1037.76037 Pan, T.-W.; Joseph, D. D.; Bai, R.; Glowinski, R.; Sarin, V. 27 2002 Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040 Bensoussan, A.; Glowinski, R.; Rascanu, A. 26 1990 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068 Ciarlet, P. G.; Glowinski, R. 26 1975 Wavelet and finite element solutions for the Neumann problem using fictitious domains. Zbl 0852.65098 Glowinski, Roland; Pan, T. W.; Wells, Raymond O. jun.; Zhou, Xiaodong 25 1996 Application of optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows. Zbl 0449.76002 Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.; Poirier, G. 25 1980 Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method. Zbl 0706.65100 Glowinski, R.; Le Tallec, P. 25 1990 A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures. Zbl 1455.76034 Bukač, M.; Čanić, S.; Glowinski, R.; Muha, B.; Quaini, A. 25 2014 Numerical simulation and optimal shape for viscous flow by a fictitious domain method. Zbl 0837.76068 Glowinski, Roland; Pan, Tsorng-Whay; Kearsley, Anthony J.; Periaux, Jacques 24 1995 On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. Zbl 1005.65127 Glowinski, Roland; Kuznetsov, Yuri 24 1998 A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089 Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. 24 2013 A new operator splitting method for the Euler elastica model for image smoothing. Zbl 1538.94005 Deng, Liang-Jian; Glowinski, Roland; Tai, Xue-Cheng 24 2019 Domain decomposition methods for nonlinear problems in fluid dynamics. Zbl 0505.76068 Glowinski, R.; Dinh, Q. V.; Periaux, J. 24 1983 A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows. Zbl 0972.76080 Singh, P.; Joseph, D. D.; Hesla, T. I.; Glowinski, R.; Pan, T.-W. 23 2000 Finite element methods for the numerical simulation of incompressible viscous flow. Introduction to the control of the Navier-Stokes equations. Zbl 0751.76046 Glowinski, Roland 22 1991 Finite elements. Special problems in solid mechanics. Zbl 0535.73050 Oden, J. Tinsley; Carey, Graham F. 22 1984 Petrov-Galerkin methods on multiply connected domains for the vorticity- stream function formulation of the incompressible Navier-Stokes equations. Zbl 0667.76046 Tezduyar, T. E.; Glowinski, R.; Liou, J. 22 1988 Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow. Zbl 0760.76044 Dean, E. J.; Glowinski, R.; Pironneau, O. 21 1991 Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146 Glowinski, Roland 21 2008 Analyse numérique du champ magnetique d’un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire. Zbl 0288.65068 Glowinski, R.; Marrocco, A. 21 1974 A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Zbl 1162.74012 Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey 21 2009 Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431 Pan, Tsorng-Whay; Glowinski, Roland 20 2005 A computational approach to controllability issues for flow-related models. I: Pointwise control of the viscous Burgers equation. Zbl 0894.76056 Berggren, M.; Glowinski, R.; Lions, J. L. 19 1996 A Lagrange multiplier/fictitious domain method for the Dirichlet problem – generalization to some flow problems. Zbl 0835.76047 Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 19 1995 On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. II: Application to transonic flow simulations. Zbl 0555.76046 Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Périaux, J.; Perrier, P.; Poirier, G. 19 1985 Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation. Zbl 1141.76043 Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W. 18 2008 Sur des méthodes d’optimisation par relaxation. Zbl 0279.90033 Cea, J.; Glowinski, R. 18 1974 On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024 Glowinski, R.; Pironneau, O. 18 1975 A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. Zbl 0901.76054 Dean, Edward J.; Glowinski, Roland 17 1997 A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141 Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang 17 2019 On some finite element methods for the numerical simulation of incompressible viscous flow. Zbl 1189.76336 Dean, Edward J.; Glowinski, Roland 17 1993 Numerical simulation of compressible Navier-Stokes flows. A GAMM-Workhop (held at Nice, France, December 4-6, 1985). Zbl 0625.00023 17 1987 Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. Zbl 0704.65081 Glowinski, R.; Kinton, W.; Wheeler, M. F. 17 1990 Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004 16 2017 On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid. Zbl 1163.76030 Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland 16 2009 Sur l’approximation, par éléments finis d’ordre 1, et la résolution, par penalisation-dualité, d’une classe de problèmes de Dirichlet non linéaires. Zbl 0287.65055 Glowinski, Roland; Marrocco, Americo 16 1974 Operator-splitting methods for the simulation of Bingham visco-plastic flow. Zbl 1002.35100 Dean, E. J.; Glowinski, R. 16 2002 Elastica models for color image regularization. Zbl 1538.94012 Liu, Hao; Tai, Xue-Cheng; Kimmel, Ron; Glowinski, Roland 2 2023 A fast operator-splitting method for Beltrami color image denoising. Zbl 1494.94005 Duan, Yuping; Zhong, Qiuxiang; Tai, Xue-Cheng; Glowinski, Roland 7 2022 Bilinear optimal control of an advection-reaction-diffusion system. Zbl 1487.49038 Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui 7 2022 An operator-splitting method for the Gaussian curvature regularization model with applications to surface smoothing and imaging. Zbl 07566194 Liu, Hao; Tai, Xue-Cheng; Glowinski, Roland 5 2022 Discrete dynamical system approaches for Boolean polynomial optimization. Zbl 1492.90088 Niu, Yi-Shuai; Glowinski, Roland 4 2022 Application of the alternating direction method of multipliers to control constrained parabolic optimal control problems and beyond. Zbl 1499.49090 Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui 3 2022 Convex object(s) characterization and segmentation using level set function. Zbl 07510333 Luo, Shousheng; Tai, Xue-Cheng; Glowinski, Roland 2 2022 A color elastica model for vector-valued image regularization. Zbl 1538.94011 Liu, Hao; Tai, Xue-Cheng; Kimmel, Ron; Glowinski, Roland 9 2021 Overlapping domain decomposition methods for ptychographic imaging. Zbl 1470.94008 Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong 5 2021 When Bingham meets Bratu: mathematical and computational investigations. Zbl 1481.65216 Foss, Frederick J. II; Glowinski, Roland 1 2021 An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042 Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming 9 2020 On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator. Zbl 1460.35183 Glowinski, Roland; Leung, Shingyu; Liu, Hao; Qian, Jianliang 7 2020 A new operator splitting method for the Euler elastica model for image smoothing. Zbl 1538.94005 Deng, Liang-Jian; Glowinski, Roland; Tai, Xue-Cheng 24 2019 A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141 Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang 17 2019 A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation. Zbl 1433.35157 Liu, Hao; Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 13 2019 Fast operator-splitting algorithms for variational imaging models: some recent developments. Zbl 1446.94007 Glowinski, Roland; Luo, Shousheng; Tai, Xue-Cheng 7 2019 Numerical approximation of orthogonal maps. Zbl 1435.65195 Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco 4 2019 Two decades of wave-like equation for the numerical simulation of incompressible viscous flow: a review. Zbl 1416.35005 Glowinski, Roland; Pan, Tsorng-Whay 2 2019 A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation. Zbl 1407.65284 Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios 9 2018 A simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089 Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 7 2018 A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition. Zbl 1406.65100 He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping 3 2018 A 3D DLM/FD method for simulating the motion of spheres and ellipsoids under creeping flow conditions. Zbl 1375.76205 Pan, Tsorng-Whay; Guo, Aixia; Chiu, Shang-Huan; Glowinski, Roland 2 2018 A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids. Zbl 1410.76163 Chiu, Shang-Huan; Pan, Tsorng-Whay; Glowinski, Roland 2 2018 An alternating direction method of multipliers for the numerical solution of a fully nonlinear partial differential equation involving the Jacobian determinant. Zbl 1380.65363 Caboussat, Alexandre; Glowinski, Roland 2 2018 Numerical study of the wall effect on particle sedimentation. Zbl 07474463 Tsai, Liang-Hsia; Chang, Chien-Cheng; Pan, Tsorng-Whay; Glowinski, Roland 1 2018 A DLM/FD/IB method for simulating compound cell interacting with red blood cells in a microchannel. Zbl 1393.76148 Zhao, Shihai; Yu, Yao; Pan, Tsorng-Whay; Glowinski, Roland 1 2018 Extended ALE method for fluid-structure interaction problems with large structural displacements. Zbl 1378.74020 Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland 31 2017 Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004 16 2017 Nonlinear advection-diffusion-reaction phenomena involved in the evolution and pumping of oil in open sea: modeling, numerical simulation and validation considering the Prestige and Oleg Naydenov oil spill cases. Zbl 1397.76087 Ivorra, Benjamin; Gomez, Susana; Glowinski, Roland; Ramos, Angel Manuel 2 2017 Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions. Zbl 1421.76172 Guo, Aixia; Pan, Tsorng-Whay; He, Jiwen; Glowinski, Roland 2 2017 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 78 2016 Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205 Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng 30 2016 Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104 Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 12 2016 An operator splitting approach to the solution of fluid-structure interaction problems in hemodynamics. Zbl 1451.76150 Bukač, Martina; Čanić, Sunčica; Muha, Boris; Glowinski, Roland 8 2016 Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel. Zbl 07516420 Quaini, A.; Glowinski, R.; Čanić, S. 7 2016 ADMM and non-convex variational problems. Zbl 1372.65192 Glowinski, Roland 5 2016 Splitting methods for some nonlinear wave problems. Zbl 1372.65274 Quaini, Annalisa; Glowinski, Roland 2 2016 On the controllability of diffusion processes on a sphere: a numerical study. Zbl 1353.49042 Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez 1 2016 Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065 Glowinski, Roland 37 2015 A new augmented Lagrangian approach for \(L^1\)-mean curvature image denoising. Zbl 1330.94011 Myllykoski, M.; Glowinski, R.; Kärkkäinen, T.; Rossi, T. 13 2015 A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092 Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 11 2015 A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation. Zbl 1325.65089 Caboussat, Alexandre; Glowinski, Roland 5 2015 On the numerical solution of some eikonal equations: an elliptic solver approach. Zbl 1326.65075 Caboussat, Alexandre; Glowinski, Roland; Pan, Tsorng-Whay 5 2015 On the controllability of diffusion processes on the surface of a torus: a computational approach. Zbl 1352.49028 León-Velasco, D. Assaely; Glowinski, Roland; Juárez-Valencia, L. Héctor 3 2015 A DLM/FD/IB method for simulating compound vesicle motion under creeping flow condition. Zbl 1349.76946 Pan, Tsorng-Whay; Zhao, Shihai; Niu, Xiting; Glowinski, Roland 3 2015 A numerical algorithm for a fully nonlinear PDE involving the Jacobian determinant. Zbl 1328.65234 Caboussat, Alexandre; Glowinski, Roland 2 2015 Numerical simulation of the motion of inextensible capsules in shear flow under the effect of the natural state. Zbl 1373.76099 Niu, Xiting; Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland 1 2015 Comparison of time discretization schemes to simulate the motion of an inextensible beam. Zbl 1321.74064 Basting, Steffen; Quaini, Annalisa; Glowinski, Roland; Canic, Suncica 1 2015 On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098 Glowinski, Roland 85 2014 A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures. Zbl 1455.76034 Bukač, M.; Čanić, S.; Glowinski, R.; Muha, B.; Quaini, A. 25 2014 On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in \(\mathbb R^3\): a computational approach. Zbl 1304.65244 Bonito, Andrea; Glowinski, Roland 2 2014 Oscillating motions of neutrally buoyant particle and red blood cell in Poiseuille flow in a narrow channel. Zbl 1321.76088 Shi, Lingling; Yu, Yao; Pan, Tsorng-Whay; Glowinski, Roland 1 2014 On the numerical solution to a nonlinear wave equation associated with the first Painlevé equation: an operator-splitting approach. Zbl 1318.65066 Glowinski, Roland; Quaini, Annalisa 1 2014 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062 Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 78 2013 A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089 Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. 24 2013 Numerical methods for a class of nonlinear integro-differential equations. Zbl 1263.65132 Glowinski, R.; Shiau, L.; Sheppard, M. 5 2013 On an inequality of C. Sundberg: a computational investigation via nonlinear programming. Zbl 1276.49021 Glowinski, R.; Quaini, A. 4 2013 Numerical simulation of lateral migration of red blood cells in Poiseuille flows. Zbl 1302.92021 Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland 9 2012 Regularization methods for the numerical solution of the divergence equations \(\nabla \cdot \mathbf u=f\). Zbl 1274.65178 Caboussat, Alexandre; Glowinski, Roland 2 2012 A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line. Zbl 1416.76111 He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping 37 2011 On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012 Glowinski, Roland; Wachs, Anthony 27 2011 Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001 9 2011 A least-squares/fictitious domain method for linear elliptic problems with Robin boundary conditions. Zbl 1364.65218 Glowinski, Roland; He, Qiaolin 7 2011 Solution of time-periodic wave equation using mixed finite elements and controllability techniques. Zbl 1291.76202 Kähkönen, Sami; Glowinski, Roland; Rossi, Tuomo; Mäkinen, Raino A. E. 5 2011 Positive definiteness preserving approaches for viscoelastic flow of Oldroyd-B fluids: applications to a lid-driven cavity flow and a particulate flow. Zbl 1318.76011 Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland 2 2011 Numerical solution of a variational problem arising in stress analysis: the vector case. Zbl 1387.74105 Caboussat, Alexandre; Glowinski, Roland 10 2010 Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029 Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A. 6 2010 A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073 Sorensen, Danny C.; Glowinski, Roland 6 2010 Modelling and simulation of a polluted water pumping process. Zbl 1190.76168 Alavani, Chitra; Glowinski, Roland; Gomez, Susana; Ivorra, Benjamin; Joshi, Pallavi; Ramos, Angel Manuel 6 2010 Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008 Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim 5 2010 A DLM/FD/IB method for simulating cell/cell and cell/particle interaction in microchannels. Zbl 1428.76246 Pan, Tsorng-Whay; Shi, Lingling; Glowinski, Roland 4 2010 Qualitative properties and approximation of solutions of Bingham flows: on the stabilization for large time and the geometry of the support. Zbl 1204.35133 Díaz, J. I.; Glowinski, R.; Guidoboni, G.; Kim, T. 4 2010 Looking for the best constant in a Sobolev inequality: a numerical approach. Zbl 1235.90144 Caboussat, Alexandre; Glowinski, Roland; Leonard, Allison 3 2010 Parallel finite element simulations of incompressible viscous fluid flow by domain decomposition with Lagrange multipliers. Zbl 1346.76072 Rivera, Christian A.; Heniche, Mourad; Glowinski, Roland; Tanguy, Philippe A. 2 2010 Option price sensitivity to errors in stochastic dynamics modeling. Zbl 1470.91268 Azencott, Robert; Gadhyan, Yutheeka; Glowinski, Roland 1 2010 A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure. Zbl 1406.76097 Wang, Tong; Pan, Tsorng-Whay; Glowinski, Roland 1 2010 Numerical methods for the vector-valued solutions of non-smooth eigenvalue problems. Zbl 1203.65248 Caboussat, Alexandre; Glowinski, Roland 1 2010 Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056 Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica 98 2009 A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Zbl 1162.74012 Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey 21 2009 On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid. Zbl 1163.76030 Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland 16 2009 An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064 Caboussat, A.; Glowinski, R.; Pons, V. 9 2009 A fictitious domain/distributed Lagrange multiplier method for the particulate flow of Oldroyd-B fluids: a positive definiteness preserving approach. Zbl 1274.76344 Hao, Jian; Pan, Tsorng-Whay; Glowinski, Roland; Joseph, Daniel D. 8 2009 A numerical method for a non-smooth advection-diffusion problem arising in sand mechanics. Zbl 1153.76039 Caboussat, Alexandre; Glowinski, Roland 5 2009 A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314 Glowinski, Roland; Lin, Ping; Pan, Xing-Bin 2 2009 A fluid-cell interaction and adhesion algorithm for tissue coating of cardiovascular implants. Zbl 1181.92045 Hao, Jian; Pan, Tsorng-Whay; Čanić, Sunčica; Glowinski, Roland; Rosenstrauch, Doreen 2 2009 Numerical solution of a non-smooth variational problem arising in stress analysis: The scalar case. Zbl 1158.74481 Caboussat, Alexandre; Glowinski, Roland 1 2009 On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type boundary conditions. Zbl 1177.35149 Glowinski, Roland; Guidoboni, Giovanna 1 2009 Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050 Glowinski, Roland 132 2008 Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002 Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen 98 2008 Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146 Glowinski, Roland 21 2008 Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation. Zbl 1141.76043 Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W. 18 2008 On the numerical solution of the elliptic Monge-Ampère equation in dimension two: a least-squares approach. Zbl 1152.65479 Dean, Edward J.; Glowinski, Roland 15 2008 On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow. Zbl 1158.76353 Pan, Tsorng-Whay; Chang, Chien-Cheng; Glowinski, Roland 12 2008 A numerical method for interface reconstruction of triple points within a volume tracking algorithm. Zbl 1187.76694 Caboussat, A.; Francois, M. M.; Glowinski, R.; Kothe, D. B.; Sicilian, J. M. 10 2008 Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097 Caffarelli, L. A.; Glowinski, R. 8 2008 Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. Zbl 1152.65477 Glowinski, Roland; Sorensen, Danny C. 7 2008 Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Zbl 1140.65007 6 2008 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445 Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 5 2008 Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach. Zbl 1162.76344 Glowinski, Roland; Guidoboni, Giovanna 4 2008 A controllability approach to shape identification. Zbl 1170.49033 Azencott, R.; Glowinski, R.; Ramos, A. M. 4 2008 ...and 260 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,842 Authors 182 Noor, Muhammad Aslam 136 Glowinski, Roland 62 Yuan, Xiaoming 50 Sofonea, Mircea 48 Han, Weimin 47 Han, Deren 47 Noor, Khalida Inayat 39 Haslinger, Jaroslav 38 Bnouhachem, Abdellah 37 Pan, Tsorng-Whay 35 He, Bingsheng 35 Shehu, Yekini 34 Ceng, Lu-Chuan 34 Yao, Jen-Chih 31 Münch, Arnaud 28 Koko, Jonas 28 Tai, Xuecheng 27 Fernández-Cara, Enrique 27 Yao, Yonghong 26 Fernández, Jose Ramon 24 Ng, Michael Kwok-Po 23 Cai, Xingju 23 Zuazua, Enrique 21 Burman, Erik 21 Repin, Sergeĭ Igorevich 21 Toh, Kim Chuan 20 Alduncin, Gonzalo 20 Čanić, Sunčica 20 Fernández, Miguel Ángel 20 Sun, Defeng 20 Wen, Chingfeng 19 Caboussat, Alexandre 19 Hulsen, Martien A. 19 Liou, Yeongcheng 19 Yu, Zhaosheng 19 Zhang, Wenxing 18 Codina, Ramon 18 Gwinner, Joachim 18 Iyiola, Olaniyi Samuel 18 Li, Min 18 Pironneau, Olivier 18 Wang, Fei 17 Hlaváček, Ivan 17 Ma, Changfeng 17 Périaux, Jacques F. 17 Vincent, Stéphane 16 Caltagirone, Jean-Paul 16 Djoko, Jules K. 16 Hintermüller, Michael 16 Le Tallec, Patrick 16 Ma, Shiqian 16 Porwal, Kamana 16 Yotov, Ivan 15 Bukač, Martina 15 Düster, Alexander 15 Feng, Xiaobing 15 Patankar, Neelesh A. 15 Quarteroni, Alfio M. 15 Shen, Jie 15 Wang, Song 14 Cheng, Xiaoliang 14 Ding, Xie Ping 14 Huang, Nan-Jing 14 Kunisch, Karl 14 Lapin, Aleksandr Vasil’evich 14 Osher, Stanley Joel 14 Verma, Ram U. 14 Wachs, Anthony 14 Wick, Thomas 14 Wu, Zhongming 14 Yin, Wotao 13 Ansari, Qamrul Hasan 13 Dostál, Zdeněk 13 Gudi, Thirupathi 13 Guidoboni, Giovanna 13 He, Qiaolin 13 Hild, Patrick 13 Jian, Jinbao 13 Li, Kaitai 13 Ma, Feng 13 Matei, Andaluzia Cristina 13 Muha, Boris 13 Quaini, Annalisa 13 Rank, Ernst 13 Rappaz, Jacques 13 Schroder, Andreas 13 Yang, Haijian 12 Angot, Philippe 12 Boffi, Daniele 12 Carstensen, Carsten 12 Chouly, Franz 12 Du, Guangzhi 12 Farhat, Charbel H. 12 Frigaard, Ian A. 12 Gastaldi, Lucia 12 Gunzburger, Max Donald 12 He, Jiwen 12 He, Yinnian 12 Hou, Yanren 12 Ito, Kazufumi ...and 7,742 more Authors all top 5 Cited in 493 Serials 447 Journal of Computational Physics 408 Computer Methods in Applied Mechanics and Engineering 246 Computers & Mathematics with Applications 228 Journal of Computational and Applied Mathematics 193 Journal of Scientific Computing 163 Computers and Fluids 143 Applied Mathematics and Computation 141 Journal of Optimization Theory and Applications 134 Numerische Mathematik 111 Applied Numerical Mathematics 95 Journal of Mathematical Analysis and Applications 94 Journal of Fluid Mechanics 93 International Journal for Numerical Methods in Engineering 80 SIAM Journal on Scientific Computing 70 Mathematics of Computation 66 International Journal for Numerical Methods in Fluids 65 Applied Mathematics Letters 65 Computational Optimization and Applications 63 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 61 Numerical Methods for Partial Differential Equations 55 SIAM Journal on Optimization 54 Computational Mechanics 54 Numerical Algorithms 52 Journal of Inequalities and Applications 51 SIAM Journal on Numerical Analysis 51 Comptes Rendus. 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Theory, Methods & Applications 11 Acta Mechanica 11 Computer Physics Communications 11 Computing 11 Optimization and Engineering 11 Acta Numerica ...and 393 more Serials all top 5 Cited in 52 Fields 3,370 Numerical analysis (65-XX) 1,995 Fluid mechanics (76-XX) 1,637 Partial differential equations (35-XX) 1,349 Calculus of variations and optimal control; optimization (49-XX) 1,161 Mechanics of deformable solids (74-XX) 948 Operations research, mathematical programming (90-XX) 514 Operator theory (47-XX) 318 Systems theory; control (93-XX) 200 Biology and other natural sciences (92-XX) 197 Information and communication theory, circuits (94-XX) 192 Computer science (68-XX) 109 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 105 Probability theory and stochastic processes (60-XX) 97 Ordinary differential equations (34-XX) 74 Classical thermodynamics, heat transfer (80-XX) 65 Geophysics (86-XX) 63 Optics, electromagnetic theory (78-XX) 62 Statistics (62-XX) 48 Global analysis, analysis on manifolds (58-XX) 48 Statistical mechanics, structure of matter (82-XX) 43 Functional analysis (46-XX) 42 Mechanics of particles and systems (70-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 33 Integral equations (45-XX) 30 Real functions (26-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Potential theory (31-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Approximations and expansions (41-XX) 17 Differential geometry (53-XX) 13 General topology (54-XX) 9 Quantum theory (81-XX) 8 History and biography (01-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 6 Convex and discrete geometry (52-XX) 5 Combinatorics (05-XX) 4 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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