Edit Profile Glowinski, Roland Compute Distance To: Compute Author ID: glowinski.roland Published as: Glowinski, R.; Glowinski, Roland External Links: MGP · Wikidata · dblp · GND Documents Indexed: 410 Publications since 1970, including 43 Books Biographic References: 3 Publications all top 5 Co-Authors 34 single-authored 89 Périaux, Jacques F. 77 Pan, Tsorng-Whay 32 Pironneau, Olivier 28 Dean, Edward Jerome 23 Bristeau, Marie-Odile 22 Lions, Jacques-Louis 21 He, Jiwen 19 Caboussat, Alexandre 16 Joseph, Daniel D. 15 Le Tallec, Patrick 13 Mantel, Bertrand 10 Perrier, Pierre C. 9 Guidoboni, Giovanna 8 Kuznetsov, Yurii Alekseevich 7 Dinh, Q. V. 7 Girault, Vivette 7 Hesla, Todd I. 7 Quaini, Annalisa 6 Bourgat, Jean-François 6 Čanić, Sunčica 6 Lapin, Serguei 6 Leung, Shingyu 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 Bokil, Vrushali A. 3 Cea, Jean 3 Chen, Hongquan 3 Chen, Zhangxin 3 Metcalfe, Richard S. 3 Rogé, Gilbert 3 Tremolieres, Raymond 3 Wagner, Joël 3 Wells, Raymond O. jun. 3 Zhou, Xiaodong 2 Angrand, Françoise 2 Azencott, Robert 2 Basting, Steffen 2 Bégis, D. 2 Berggren, Martin 2 Bertin, John J. 2 Boisserie, Jean-Marie 2 Cavallini, Nicola 2 Chan, Tony Fan-Cheong 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 Foss, F. J. II. 2 Gaiffe, Stéphanie 2 Gómez, Susana 2 Gourzoulidis, Dimitrios 2 Guo, Aixia 2 Ivorra, Benjamin 2 Juárez-Valencia, L. Héctor 2 Kawarada, Hideo 2 Kinton, Wendy A. 2 León-Velasco, D. Assaely 2 Liu, Hao 2 López, Hilda 2 Masson, Roland 2 Meurant, Gérard A. 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. 2 Singh, G. Suresh 2 Tai, Xuecheng 2 Terrasson, G. 2 Tran, Quang Huy 2 Vidrascu, Marina 2 Wang, Tong 2 Yin, Wotao ...and 146 more Co-Authors all top 5 Serials 16 Computer Methods in Applied Mechanics and Engineering 16 Journal of Computational Physics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 9 Journal of Scientific Computing 7 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 Journal of Numerical Mathematics 5 Journal of Fluid Mechanics 4 Calcolo 4 Mathematical and Computer Modelling 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Scientific Computing 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 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 SIAM Review 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 International Journal of Computational Fluid Dynamics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications on Pure and Applied Analysis 2 Journal de Mécanique 2 Lecture Notes in Computer Science 2 Communications in Computational Physics 2 SIAM Journal on Imaging Sciences 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 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 Encyclopedia of Mathematics and Its Applications 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 SIAM Studies in Applied Mathematics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Handbook of Numerical Analysis 1 Computational Methods in Applied Sciences 1 Chinese Journal of Engineering Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 251 Numerical analysis (65-XX) 208 Fluid mechanics (76-XX) 138 Partial differential equations (35-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 50 Mechanics of deformable solids (74-XX) 37 Systems theory; control (93-XX) 32 General and overarching topics; collections (00-XX) 30 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 9 Mechanics of particles and systems (70-XX) 9 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 6 Potential theory (31-XX) 6 Computer science (68-XX) 5 Geophysics (86-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-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 326 Publications have been cited 6,903 times in 4,280 Documents Cited by ▼ Year ▼ Numerical methods for nonlinear variational problems. Zbl 0536.65054Glowinski, Roland 607 1984 Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Zbl 0698.73001Glowinski, Roland; Le Tallec, Patrick 433 1989 Numerical analysis of variational inequalities. Transl. and rev. ed. Zbl 0463.65046Glowinski, Roland; Lions, Jacques-Louis; Tremolieres, Raymond 383 1981 Augmented Lagrangian methods: Applications to the numerical solution of boundary-value problems. (Transl. from the French). Zbl 0525.65045Fortin, Michel (ed.); Glowinski, Roland (ed.) 314 1983 Numerical solution of nonlinear boundary value problems by variational methods. Applications. Zbl 0575.65123Glowinski, R. 313 1984 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 0368.65053Glowinski, R.; Marroco, A. 283 1975 Numerical analysis of variational inequalities. (Chislennoe issledovanie variatsionnykh neravenstv). Transl. from the French by A. S. Kravchuk. Zbl 0508.65029Glowinski, R.; Lions, J. L.; Tremolieres, R. 264 1979 A distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76592Glowinski, R.; Pan, T.-W.; Hesla, T. I.; Joseph, D. D. 244 1999 A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J. 240 2001 A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 162 1994 Finite element methods for incompressible viscous flow. Zbl 1040.76001Glowinski, Roland 129 2003 Analyse numérique des inéquations variationnelles. Tome 1: Théorie générale premieres applications. Tome 2: Applications aux phénomènes stationnaires et d’évolution. Zbl 0358.65091Glowinski, R.; Lions, J. L.; Tremolieres, R. 94 1976 A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76712Patankar, N. A.; Singh, P.; Joseph, D. D.; Glowinski, R.; Pan, T.-W. 92 2000 A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Zbl 0845.76069Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 88 1994 Numerical methods for the first biharmonic equation and for the two- dimensional Stokes problem. Zbl 0427.65073Glowinski, R.; Pironneau, O. 78 1979 Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050Glowinski, Roland 77 2008 Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica 62 2009 Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Méthodes de résolution des problèmes approches. Zbl 0323.90063Begis, D.; Glowinski, R. 62 1975 A numerical approach to the exact boundary controllability of the wave equation. I: Dirichlet controls: Description of the numerical methods. Zbl 0699.65055Glowinski, Roland; Li, Chin-Hsien; Lions, Jacques-Louis 59 1990 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002Glowinski, Roland; Rappaz, Jacques 58 2003 Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076Girault, V.; Glowinski, R. 57 1995 Lectures on numerical methods for non-linear variational problems. Zbl 0456.65035Glowinski, R. 56 1980 Exact and approximate controllability for distributed parameter systems. Zbl 0838.93014Glowinski, R.; Lions, J. L. 55 1995 Wavelet solutions of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Zbl 0799.65109Glowinski, Roland; Lawton, Wayne; Ravachol, Michel; Tenenbaum, Eric 55 1990 Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036Fortin, M. (ed.); Glowinski, R. (ed.) 50 1982 Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Zbl 0916.76052Glowinski, R.; Pan, T. W.; Périaux, J. 48 1998 Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105Glowinski, Roland; Wheeler, Mary Fanett 48 1988 Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075Glowinski, R.; Keller, H. B.; Reinhart, L. 47 1985 On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098Glowinski, Roland 45 2014 Active control and drag optimization for flow past a circular cylinder. I: Oscillatory cylinder rotation. Zbl 0977.76021He, J.-W.; Glowinski, R.; Metcalfe, R.; Nordlander, A.; Periaux, J. 45 2000 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369Glowinski, R.; Kuznetsov, Yu. 44 2007 On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna 43 2007 Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116Dean, E. J.; Glowinski, R. 41 2006 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 40 2013 Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation. Zbl 0763.76042Glowinski, R. 40 1992 Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen 38 2008 On exact and approximate boundary controllabilities for the heat equation: A numerical approach. Zbl 0825.93316Carthel, C.; Glowinski, R.; Lions, J. L. 37 1994 On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions. Zbl 0423.65059Glowinski, R.; Pironneau, O. 35 1979 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002Glowinski, Roland (ed.); Osher, Stanley J. (ed.); Yin, Wotao (ed.) 33 2016 First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019Glowinski, Roland (ed.); Golub, Gene (ed.); Meurant, Gérard A. (ed.); Périaux, Jacques (ed.) 32 1988 Migration of a sphere in tube flow. Zbl 1082.76028Yang, B. H.; Wang, J.; Joseph, D. D.; Hu, H. H.; Pan, T.-W.; Glowinski, R. 30 2005 Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow. Zbl 1178.76235Pan, Tsorng-Whay; Glowinski, Roland 30 2002 A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow. Zbl 0971.76046Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Périaux, Jacques 30 1999 Exact and approximate controllability for distributed parameter systems. Zbl 0838.93013Glowinski, R.; Lions, J. L. 29 1994 A distributed Lagrange multiplier/fictious domain method for the simulation of flow around moving rigid bodies: Application to particulate flow. Zbl 0970.76057Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Periaux, Jacques 27 2000 Finite element methods for Navier-Stokes equations. Zbl 0743.76051Glowinski, Roland; Pironneau, Olivier 27 1992 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068Ciarlet, P. G.; Glowinski, R. 27 1975 Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1063.65121Dean, Edward J.; Glowinski, Roland 26 2004 Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach. Zbl 1027.49020Ramos, A. M.; Glowinski, R.; Periaux, J. 26 2002 Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041Glowinski, R.; Guidoboni, G.; Pan, T.-W. 25 2006 Nash equilibria for the multiobjective control of linear partial differential equations. Zbl 1012.49020Ramos, A. M.; Glowinski, R.; Periaux, J. 25 2002 Fluidization of 1204 spheres: Simulation and experiment. Zbl 1037.76037Pan, T.-W.; Joseph, D. D.; Bai, R.; Glowinski, R.; Sarin, V. 25 2002 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 0885.76073Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 25 1997 A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change. Zbl 0877.35066Bamberger, Alain; Glowinski, Roland; Tran, Quang Huy 25 1997 Application of optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows. Zbl 0449.76002Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.; Poirier, G. 24 1980 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 0423.76047Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P. 24 1979 Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach. Zbl 1028.65120Dean, Edward J.; Glowinski, Roland 23 2003 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 1416.76111He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping 22 2011 Wavelet and finite element solutions for the Neumann problem using fictitious domains. Zbl 0852.65098Glowinski, Roland; Pan, T. W.; Wells, Raymond O. jun.; Zhou, Xiaodong 22 1996 A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084Glowinski, R.; Kinton, W.; Wheeler, M. F. 22 1989 An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119Dean, E. J.; Glowinski, R. 21 2006 On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. Zbl 1005.65127Glowinski, Roland; Kuznetsov, Yuri 21 1998 Numerical simulation and optimal shape for viscous flow by a fictitious domain method. Zbl 0837.76068Glowinski, Roland; Pan, Tsorng-Whay; Kearsley, Anthony J.; Periaux, Jacques 21 1995 Finite element methods for the numerical simulation of incompressible viscous flow. Introduction to the control of the Navier-Stokes equations. Zbl 0751.76046Glowinski, Roland 21 1991 A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows. Zbl 0972.76080Singh, P.; Joseph, D. D.; Hesla, T. I.; Glowinski, R.; Pan, T.-W. 20 2000 Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089Bensoussan, A.; Glowinski, R.; Rǎşcanu, A. 20 1992 Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow. Zbl 0760.76044Dean, E. J.; Glowinski, R.; Pironneau, O. 20 1991 Variational formulation and algorithm for trace operator in domain decomposition calculations. Zbl 0684.65094Bourgat, J. F.; Glowinski, Roland; Le Tallec, Patrick; Vidrascu, Marina 20 1989 Petrov-Galerkin methods on multiply connected domains for the vorticity- stream function formulation of the incompressible Navier-Stokes equations. Zbl 0667.76046Tezduyar, T. E.; Glowinski, R.; Liou, J. 20 1988 Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431Pan, Tsorng-Whay; Glowinski, Roland 19 2005 Controllability methods for the computation of time-periodic solutions; application to scattering. Zbl 0926.65054Bristeau, M. O.; Glowinski, R.; Périaux, J. 19 1998 Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method. Zbl 0706.65100Glowinski, R.; Le Tallec, P. 19 1990 On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. II: Application to transonic flow simulations. Zbl 0555.76046Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Périaux, J.; Perrier, P.; Poirier, G. 19 1985 Domain decomposition methods for nonlinear problems in fluid dynamics. Zbl 0505.76068Glowinski, R.; Dinh, Q. V.; Periaux, J. 18 1983 Analyse numérique du champ magnetique d’un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire. Zbl 0288.65068Glowinski, R.; Marrocco, A. 18 1974 Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065Glowinski, Roland 17 2015 Numerical methods for the time dependent Navier-Stokes equations for incompressible viscous fluids. Zbl 0612.76033Glowinski, R. 17 1983 Sur des méthodes d’optimisation par relaxation. Zbl 0279.90033Cea, J.; Glowinski, R. 17 1974 A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow. Zbl 0923.76109Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Periaux, Jacques 16 1998 A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. Zbl 0901.76054Dean, Edward J.; Glowinski, Roland 16 1997 A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Zbl 1162.74012Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey 15 2009 Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146Glowinski, Roland 15 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 1141.76043Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W. 15 2008 A Lagrange multiplier/fictitious domain method for the Dirichlet problem – generalization to some flow problems. Zbl 0835.76047Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 15 1995 On some finite element methods for the numerical simulation of incompressible viscous flow. Zbl 1189.76336Dean, Edward J.; Glowinski, Roland 15 1993 Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. Zbl 0704.65081Glowinski, R.; Kinton, W.; Wheeler, M. F. 15 1990 Fluid-particle flow: A symmetric formulation. Zbl 0880.76045Maury, Bertrand; Glowinski, Roland 14 1997 A computational approach to controllability issues for flow-related models. I: Pointwise control of the viscous Burgers equation. Zbl 0894.76056Berggren, M.; Glowinski, R.; Lions, J. L. 14 1996 Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040Bensoussan, A.; Glowinski, R.; Rascanu, A. 14 1990 Numerical simulation of compressible Navier-Stokes flows. A GAMM-Workhop (held at Nice, France, December 4-6, 1985). Zbl 0625.00023Bristeau, Marie Odile (ed.); Glowinski, Roland (ed.); Periaux, Jacques (ed.); Viviand, Henri (ed.) 14 1987 On numerical methods for the Stokes problem. Zbl 0415.76024Glowinski, R.; Pironneau, O. 14 1979 On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024Glowinski, R.; Pironneau, O. 14 1975 On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012Glowinski, Roland; Wachs, Anthony 13 2011 A wave equation approach to the numerical simulation of incompressible viscous fluid flow modelled by the Navier-Stokes equations. Zbl 0959.76070Dean, E. J.; Glowinski, R.; Pan, T. W. 13 1998 Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021Chan, Tony F. (ed.); Glowinski, Roland (ed.); Periaux, Jacques (ed.); Widlund, Olof B. (ed.) 13 1989 A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. 12 2013 Finite element approximation of multi-scale elliptic problems using patches of elements. Zbl 1080.65109Glowinski, Roland; He, Jiwen; Lozinski, Alexei; Rappaz, Jacques; Wagner, Joël 12 2005 Operator-splitting methods for the simulation of Bingham visco-plastic flow. Zbl 1002.35100Dean, E. J.; Glowinski, R. 12 2002 Distributed Lagrange multipliers methods for particulate flows. Zbl 0919.76077Glowinski, R.; Hesla, T.; Joseph, D. D.; Pan, T.-W.; Périaux, J. 12 1997 Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Zbl 0758.00010Glowinski, Roland (ed.); Kuznetsov, Yu. A. (ed.); Meurant, Gérard (ed.); Périaux, Jacques (ed.); Widlund, Olof B. (ed.) 12 1991 A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang 2 2019 Fast operator-splitting algorithms for variational imaging models: some recent developments. Zbl 1446.94007Glowinski, Roland; Luo, Shousheng; Tai, Xue-Cheng 1 2019 A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation. Zbl 1407.65284Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios 4 2018 A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids. Zbl 1410.76163Chiu, Shang-Huan; Pan, Tsorng-Whay; Glowinski, Roland 1 2018 An alternating direction method of multipliers for the numerical solution of a fully nonlinear partial differential equation involving the Jacobian determinant. Zbl 1380.65363Caboussat, Alexandre; Glowinski, Roland 1 2018 A 3D DLM/FD method for simulating the motion of spheres and ellipsoids under creeping flow conditions. Zbl 1375.76205Pan, Tsorng-Whay; Guo, Aixia; Chiu, Shang-Huan; Glowinski, Roland 1 2018 Extended ALE method for fluid-structure interaction problems with large structural displacements. Zbl 1378.74020Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland 10 2017 Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions. Zbl 1421.76172Guo, Aixia; Pan, Tsorng-Whay; He, Jiwen; Glowinski, Roland 2 2017 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002Glowinski, Roland (ed.); Osher, Stanley J. (ed.); Yin, Wotao (ed.) 33 2016 Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng 11 2016 ADMM and non-convex variational problems. Zbl 1372.65192Glowinski, Roland 4 2016 Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 4 2016 An operator splitting approach to the solution of fluid-structure interaction problems in hemodynamics. Zbl 06767849Bukač, Martina; Čanić, Sunčica; Muha, Boris; Glowinski, Roland 1 2016 Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065Glowinski, Roland 17 2015 A new augmented Lagrangian approach for \(L^1\)-mean curvature image denoising. Zbl 1330.94011Myllykoski, M.; Glowinski, R.; Kärkkäinen, T.; Rossi, T. 6 2015 A DLM/FD/IB method for simulating compound vesicle motion under creeping flow condition. Zbl 1349.76946Pan, Tsorng-Whay; Zhao, Shihai; Niu, Xiting; Glowinski, Roland 3 2015 A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation. Zbl 1325.65089Caboussat, Alexandre; Glowinski, Roland 2 2015 A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 2 2015 On the controllability of diffusion processes on the surface of a torus: a computational approach. Zbl 1352.49028León-Velasco, D. Assaely; Glowinski, Roland; Juárez-Valencia, L. Héctor 1 2015 On the numerical solution of some eikonal equations: an elliptic solver approach. Zbl 1326.65075Caboussat, Alexandre; Glowinski, Roland; Pan, Tsorng-Whay 1 2015 Comparison of time discretization schemes to simulate the motion of an inextensible beam. Zbl 1321.74064Basting, Steffen; Quaini, Annalisa; Glowinski, Roland; Canic, Suncica 1 2015 A numerical algorithm for a fully nonlinear PDE involving the Jacobian determinant. Zbl 1328.65234Caboussat, Alexandre; Glowinski, Roland 1 2015 On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098Glowinski, Roland 45 2014 Oscillating motions of neutrally buoyant particle and red blood cell in Poiseuille flow in a narrow channel. Zbl 1321.76088Shi, Lingling; Yu, Yao; Pan, Tsorng-Whay; Glowinski, Roland 1 2014 On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in \(\mathbb R^3\): a computational approach. Zbl 1304.65244Bonito, Andrea; Glowinski, Roland 1 2014 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 40 2013 A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. 12 2013 Numerical methods for a class of nonlinear integro-differential equations. Zbl 1263.65132Glowinski, R.; Shiau, L.; Sheppard, M. 3 2013 On an inequality of C. Sundberg: a computational investigation via nonlinear programming. Zbl 1276.49021Glowinski, R.; Quaini, A. 2 2013 Numerical simulation of lateral migration of red blood cells in Poiseuille flows. Zbl 1302.92021Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland 8 2012 Regularization methods for the numerical solution of the divergence equations \(\nabla \cdot \mathbf u=f\). Zbl 1274.65178Caboussat, 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 1416.76111He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping 22 2011 On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012Glowinski, Roland; Wachs, Anthony 13 2011 Solution of time-periodic wave equation using mixed finite elements and controllability techniques. Zbl 1291.76202Kähkönen, Sami; Glowinski, Roland; Rossi, Tuomo; Mäkinen, Raino A. E. 3 2011 Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001Glowinski, Roland (ed.); Xu, Jinchao (ed.) 3 2011 A least-squares/fictitious domain method for linear elliptic problems with Robin boundary conditions. Zbl 1364.65218Glowinski, Roland; He, Qiaolin 2 2011 Positive definiteness preserving approaches for viscoelastic flow of Oldroyd-B fluids: applications to a lid-driven cavity flow and a particulate flow. Zbl 1318.76011Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland 1 2011 Numerical solution of a variational problem arising in stress analysis: the vector case. Zbl 1387.74105Caboussat, Alexandre; Glowinski, Roland 10 2010 Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A. 4 2010 A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073Sorensen, Danny C.; Glowinski, Roland 4 2010 Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim 3 2010 A DLM/FD/IB method for simulating cell/cell and cell/particle interaction in microchannels. Zbl 1428.76246Pan, Tsorng-Whay; Shi, Lingling; Glowinski, Roland 3 2010 Looking for the best constant in a Sobolev inequality: a numerical approach. Zbl 1235.90144Caboussat, Alexandre; Glowinski, Roland; Leonard, Allison 3 2010 Modelling and simulation of a polluted water pumping process. Zbl 1190.76168Alavani, Chitra; Glowinski, Roland; Gomez, Susana; Ivorra, Benjamin; Joshi, Pallavi; Ramos, Angel Manuel 3 2010 Parallel finite element simulations of incompressible viscous fluid flow by domain decomposition with Lagrange multipliers. Zbl 1346.76072Rivera, Christian A.; Heniche, Mourad; Glowinski, Roland; Tanguy, Philippe A. 2 2010 Qualitative properties and approximation of solutions of Bingham flows: on the stabilization for large time and the geometry of the support. Zbl 1204.35133Díaz, J. I.; Glowinski, R.; Guidoboni, G.; Kim, T. 2 2010 Numerical methods for the vector-valued solutions of non-smooth eigenvalue problems. Zbl 1203.65248Caboussat, Alexandre; Glowinski, Roland 1 2010 A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure. Zbl 1406.76097Wang, Tong; Pan, Tsorng-Whay; Glowinski, Roland 1 2010 Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica 62 2009 A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Zbl 1162.74012Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey 15 2009 An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064Caboussat, A.; Glowinski, R.; Pons, V. 8 2009 On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid. Zbl 1163.76030Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland 8 2009 A fictitious domain/distributed Lagrange multiplier method for the particulate flow of Oldroyd-B fluids: a positive definiteness preserving approach. Zbl 1274.76344Hao, Jian; Pan, Tsorng-Whay; Glowinski, Roland; Joseph, Daniel D. 6 2009 A numerical method for a non-smooth advection-diffusion problem arising in sand mechanics. Zbl 1153.76039Caboussat, Alexandre; Glowinski, Roland 4 2009 A fluid-cell interaction and adhesion algorithm for tissue coating of cardiovascular implants. Zbl 1181.92045Hao, Jian; Pan, Tsorng-Whay; Čanić, Sunčica; Glowinski, Roland; Rosenstrauch, Doreen 2 2009 A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314Glowinski, Roland; Lin, Ping; Pan, Xing-Bin 2 2009 On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type boundary conditions. Zbl 1177.35149Glowinski, Roland; Guidoboni, Giovanna 1 2009 Numerical solution of a non-smooth variational problem arising in stress analysis: The scalar case. Zbl 1158.74481Caboussat, Alexandre; Glowinski, Roland 1 2009 Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050Glowinski, Roland 77 2008 Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen 38 2008 Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146Glowinski, Roland 15 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 1141.76043Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W. 15 2008 On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow. Zbl 1158.76353Pan, Tsorng-Whay; Chang, Chien-Cheng; Glowinski, Roland 9 2008 On the numerical solution of the elliptic Monge-Ampère equation in dimension two: a least-squares approach. Zbl 1152.65479Dean, Edward J.; Glowinski, Roland 8 2008 A numerical method for interface reconstruction of triple points within a volume tracking algorithm. Zbl 1187.76694Caboussat, A.; Francois, M. M.; Glowinski, R.; Kothe, D. B.; Sicilian, J. M. 5 2008 Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097Caffarelli, L. A.; Glowinski, R. 5 2008 Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. Zbl 1152.65477Glowinski, Roland; Sorensen, Danny C. 5 2008 Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach. Zbl 1162.76344Glowinski, Roland; Guidoboni, Giovanna 4 2008 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 4 2008 Non-smooth SOR for \(L ^{1}\)-fitting: convergence study and discussion of related issues. Zbl 1203.65070Glowinski, R.; Kärkkäinen, T.; Valkonen, T.; Ivannikov, A. 2 2008 A controllability approach to shape identification. Zbl 1170.49033Azencott, R.; Glowinski, R.; Ramos, A. M. 2 2008 Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Zbl 1140.65007Glowinski, Roland (ed.); Neittaanmäki, Pekka (ed.) 2 2008 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369Glowinski, R.; Kuznetsov, Yu. 44 2007 On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna 43 2007 Solving a non-smooth eigenvalue problem using operator-splitting methods. Zbl 1130.65112Majava, K.; Glowinski, R.; Kärkkäinen, T. 3 2007 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. I: Problem formulation and description of the algorithms. Zbl 1152.65476Foss, F. J. II.; Glowinski, R.; Hoppe, R. H. W. 1 2007 On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. II. Numerical experiments. Zbl 1153.65370Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W. 1 2007 Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116Dean, E. J.; Glowinski, R. 41 2006 Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041Glowinski, R.; Guidoboni, G.; Pan, T.-W. 25 2006 An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119Dean, E. J.; Glowinski, R. 21 2006 A mixed formulation and exact controllability approach for the computation of the periodic solutions of the scalar wave equation. I: Controllability problem formulation and related iterative solution. Zbl 1105.65074Glowinski, Roland; Rossi, Tuomo 9 2006 Numerical study of a modified time-stepping \(\theta\)-scheme for incompressible flow simulations. Zbl 1158.76385Turek, Stefan; Rivkind, Ludmila; Hron, Jaroslav; Glowinski, Roland 8 2006 Numerical simulation of a multi-store separation phenomenon: a fictitious domain approach. Zbl 1121.76034Glowinski, Roland; Pan, Tsorng-Whay; Périaux, Jacques 5 2006 On the numerical simulation of friction constrained motions. Zbl 1125.74035Glowinski, Roland; Shiau, LieJune; Kuo, Ying Ming; Nasser, George 2 2006 Computation of the normal vector to a free surface by a finite element-finite volume mixed method. Zbl 1102.76033Caboussat, Alexandre; Glowinski, Roland; Sicilian, James M. 1 2006 Migration of a sphere in tube flow. Zbl 1082.76028Yang, B. H.; Wang, J.; Joseph, D. D.; Hu, H. H.; Pan, T.-W.; Glowinski, R. 30 2005 Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431Pan, Tsorng-Whay; Glowinski, Roland 19 2005 Finite element approximation of multi-scale elliptic problems using patches of elements. Zbl 1080.65109Glowinski, Roland; He, Jiwen; Lozinski, Alexei; Rappaz, Jacques; Wagner, Joël 12 2005 Operator-splitting methods and applications to the direct numerical simulation of particulate flow and to the solution of the elliptic Monge-Ampère equation. Zbl 1188.65115Dean, Edward J.; Glowinski, Roland; Pan, Tsorng-Whay 7 2005 A two-grids/projection algorithm for obstacle problems. Zbl 1084.65066Caboussat, A.; Glowinski, R. 4 2005 On the numerical solution of a two-dimensional Pucci’s equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1081.65543Dean, Edward J.; Glowinski, Roland 4 2005 An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems. Zbl 1083.65090Bokil, Vrushali A.; Glowinski, Roland 3 2005 A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems. Zbl 1070.65092Glowinski, Roland; Toivanen, Jari 3 2005 Simulating the dynamics of fluid-cylinder interactions. Zbl 1160.76304Pan, Tsorng-Whay; Glowinski, Roland; Joseph, Daniel D. 2 2005 Current trends in high performance computing and its applications. Proceedings of the international conference on high performance computing and applications, Shanghai, P. R. China, August 8–10, 2004. Zbl 1092.68548Zhang, Wu (ed.); Chen, Z. (ed.); Glowinski, R. (ed.); Tong, W. (ed.) 1 2005 Domain embedding/controllability methods for the conjugate gradient solution of wave propagation problems. Zbl 1076.78015Chen, H. Q.; Glowinski, R.; Periaux, J.; Toivanen, J. 1 2005 Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1063.65121Dean, Edward J.; Glowinski, Roland 26 2004 On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay 4 2004 A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101Girault, V.; Glowinski, R.; López, H. 4 2004 Solution of a wave equation by a mixed finite element-fictitious domain method. Zbl 1060.65107Glowinski, Roland; Lapin, Serguei 3 2004 ...and 226 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,664 Authors 156 Noor, Muhammad Aslam 118 Glowinski, Roland 47 Yuan, Xiaoming 36 Han, Weimin 35 Pan, Tsorng-Whay 35 Sofonea, Mircea 34 Haslinger, Jaroslav 31 Ceng, Lu-Chuan 30 Noor, Khalida Inayat 29 Bnouhachem, Abdellah 29 Han, Deren 26 Yao, Jen-Chih 23 Fernández, Jose Ramon 23 He, Bingsheng 22 Yao, Yonghong 21 Münch, Arnaud 20 Fernández-Cara, Enrique 19 Al-Said, Eisa A. 19 Hulsen, Martien A. 19 Zuazua, Enrique 18 Liou, Yeongcheng 18 Périaux, Jacques F. 18 Pironneau, Olivier 17 Hlaváček, Ivan 17 Repin, Sergeĭ Igorevich 16 Alduncin, Gonzalo 16 Codina, Ramon 16 Gwinner, Joachim 15 Čanić, Sunčica 15 Fernández, Miguel Ángel 15 Koko, Jonas 15 Sun, Defeng 15 Toh, Kimchuan 15 Wen, Chingfeng 14 Caltagirone, Jean-Paul 14 Vincent, Stéphane 14 Yu, Zhaosheng 13 Caboussat, Alexandre 13 Cheng, Xiaoliang 13 Ding, Xie Ping 13 Düster, Alexander 13 Li, Kaitai 13 Ma, Shiqian 13 Rank, Ernst 12 Burman, Erik 12 Feng, Xiaobing 12 Kunisch, Karl 12 Minev, Peter Dimitrov 12 Neilan, Michael 12 Patankar, Neelesh A. 12 Rappaz, Jacques 12 Wang, Song 11 Ansari, Qamrul Hasan 11 Bai, Zhongzhi 11 Dostál, Zdeněk 11 Farhat, Charbel H. 11 Frigaard, Ian A. 11 Kazmi, Kaleem Raza 11 Ma, Changfeng 11 Osher, Stanley Joel 11 Quarteroni, Alfio M. 11 Zhang, Wenxing 10 Angelov, Todor Angelov 10 Angot, Philippe 10 Campo, Marco A. 10 Dean, Edward Jerome 10 Guidoboni, Giovanna 10 Gunzburger, Max D. 10 He, Jiwen 10 Hou, Yanren 10 Huang, Nan-Jing 10 Ionescu, Ioan Romeo 10 Ito, Kazufumi 10 Ma, Feng 10 Quartapelle, Luigi 10 Shao, Xueming 10 Shehu, Yekini 10 Stephan, Ernst Peter 10 Tai, Xuecheng 10 Wachs, Anthony 10 Wheeler, Mary Fanett 10 Wick, Thomas 10 Yin, Wotao 10 Zhang, Kai 9 Anderson, Patrick D. 9 Benzi, Michele 9 Boffi, Daniele 9 Cai, Xingju 9 Carey, Graham Francis 9 Dong, Bin 9 Gastaldi, Lucia 9 Gudi, Thirupathi 9 Hild, Patrick 9 Hoppe, Ronald H. W. 9 Kang, Shin Min 9 Le Tallec, Patrick 9 Lin, Ping 9 Matei, Andaluzia Cristina 9 Ng, Michael Kwok-Po 9 Nochetto, Ricardo Horacio ...and 5,564 more Authors all top 5 Cited in 378 Serials 325 Computer Methods in Applied Mechanics and Engineering 320 Journal of Computational Physics 181 Computers & Mathematics with Applications 175 Journal of Computational and Applied Mathematics 138 Computers and Fluids 122 Applied Mathematics and Computation 119 Numerische Mathematik 118 Journal of Scientific Computing 111 Journal of Optimization Theory and Applications 91 Journal of Mathematical Analysis and Applications 83 Applied Numerical Mathematics 69 Journal of Fluid Mechanics 64 Applied Mathematics Letters 61 Mathematics of Computation 58 International Journal for Numerical Methods in Engineering 52 International Journal for Numerical Methods in Fluids 48 Comptes Rendus. Mathématique. 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Neuvième Série 12 Numerical Linear Algebra with Applications 12 Engineering Analysis with Boundary Elements 12 International Journal of Computational Fluid Dynamics 12 Journal of Industrial and Management Optimization 12 Nonlinear Analysis. Theory, Methods & Applications 11 Computing 10 Chinese Annals of Mathematics. Series B 10 Journal of Mathematical Sciences (New York) 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Acta Applicandae Mathematicae 9 Acta Mathematicae Applicatae Sinica. English Series 9 Journal of Nonlinear Science and Applications 9 Science China. Mathematics 8 Inverse Problems 8 Computational and Applied Mathematics 8 Mathematics and Mechanics of Solids 8 Computational Geosciences 8 Computational Methods in Applied Mathematics 7 Acta Mechanica 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Automatica 7 Kybernetika 7 Mathematics and Computers in Simulation 7 European Journal of Applied Mathematics 7 Journal of Mathematical Fluid Mechanics 7 Communications in Nonlinear Science and Numerical Simulation 7 Lobachevskii Journal of Mathematics 6 Archive for Rational Mechanics and Analysis ...and 278 more Serials all top 5 Cited in 47 Fields 2,275 Numerical analysis (65-XX) 1,435 Fluid mechanics (76-XX) 1,078 Partial differential equations (35-XX) 960 Calculus of variations and optimal control; optimization (49-XX) 798 Mechanics of deformable solids (74-XX) 574 Operations research, mathematical programming (90-XX) 320 Operator theory (47-XX) 196 Systems theory; control (93-XX) 130 Biology and other natural sciences (92-XX) 95 Information and communication theory, circuits (94-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 76 Ordinary differential equations (34-XX) 67 Probability theory and stochastic processes (60-XX) 67 Computer science (68-XX) 59 Classical thermodynamics, heat transfer (80-XX) 49 Optics, electromagnetic theory (78-XX) 49 Geophysics (86-XX) 38 Mechanics of particles and systems (70-XX) 33 Global analysis, analysis on manifolds (58-XX) 33 Statistical mechanics, structure of matter (82-XX) 28 Statistics (62-XX) 26 Functional analysis (46-XX) 22 Integral equations (45-XX) 20 Potential theory (31-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Real functions (26-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Approximations and expansions (41-XX) 9 Differential geometry (53-XX) 8 General topology (54-XX) 7 Quantum theory (81-XX) 5 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-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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