Edit Profile (opens in new tab) Glowinski, Roland Compute Distance To: Compute 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: 393 Publications since 1970, including 11 Books 35 Contributions as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 237 Co-Authors with 394 Joint Publications 6,824 Co-Co-Authors all top 5 Co-Authors 35 single-authored 89 Périaux, Jacques F. 79 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 10 Perrier, Pierre C. 10 Quaini, Annalisa 9 Guidoboni, Giovanna 8 Čanić, Sunčica 8 Kuznetsov, Yurii Alekseevich 7 Dinh, Q. V. 7 Girault, Vivette 7 Hesla, Todd I. 7 Tai, Xuecheng 6 Bourgat, Jean-François 6 Lapin, Serguei 6 Leung, Shingyu 6 Poirier, Gérard 6 Qian, Jianliang 6 Ramos, Angel Manuel 5 Kuo, Ying Ming 5 Li, Chinhsien 5 Liu, Hao 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 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 3 Zhou, Xiaodong 2 Absi, Elie 2 Angrand, Françoise 2 Bégis, D. 2 Bertin, John J. 2 Boisserie, Jean-Marie 2 Bukač, Martina 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 Kinton, Wendy A. 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. 2 Singh, G. Suresh ...and 163 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 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 SIAM Journal on Imaging Sciences 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 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 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 Radon Series on Computational and Applied Mathematics 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 1 Annals of Applied Mathematics 1 De Gruyter Series in Applied and Numerical Mathematics 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) 11 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 9 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-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 336 Publications have been cited 7,340 times in 4,862 Documents Cited by ▼ Year ▼ Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Zbl 0698.73001Glowinski, Roland; Le Tallec, Patrick 478 1989 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. 412 1975 Numerical methods for nonlinear variational problems. Zbl 0536.65054Glowinski, Roland 392 1984 Numerical solution of nonlinear boundary value problems by variational methods. Applications. Zbl 0575.65123Glowinski, R. 346 1984 Augmented Lagrangian methods: Applications to the numerical solution of boundary-value problems. (Transl. from the French). Zbl 0525.65045 290 1983 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. 287 1979 A distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76592Glowinski, R.; Pan, T.-W.; Hesla, T. I.; Joseph, D. D. 281 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. 279 2001 Numerical analysis of variational inequalities. Transl. and rev. ed. Zbl 0463.65046Glowinski, Roland; Lions, Jacques-Louis; Tremolieres, Raymond 270 1981 A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 197 1994 Finite element methods for incompressible viscous flow. Zbl 1040.76001Glowinski, Roland 156 2003 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. 111 2000 A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Zbl 0845.76069Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 98 1994 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. 95 1976 Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050Glowinski, Roland 87 2008 Numerical methods for the first biharmonic equation and for the two- dimensional Stokes problem. Zbl 0427.65073Glowinski, R.; Pironneau, O. 86 1979 Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica 74 2009 Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002Glowinski, Roland; Rappaz, Jacques 67 2003 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 66 1990 Lectures on numerical methods for non-linear variational problems. Zbl 0456.65035Glowinski, R. 66 1980 Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076Girault, V.; Glowinski, R. 65 1995 On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098Glowinski, Roland 63 2014 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 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 61 2013 Exact and approximate controllability for distributed parameter systems. Zbl 0838.93014Glowinski, R.; Lions, J. L. 56 1995 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 54 2016 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369Glowinski, R.; Kuznetsov, Yu. 54 2007 Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Zbl 0916.76052Glowinski, R.; Pan, T. W.; Périaux, J. 54 1998 Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036 54 1982 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. 52 2000 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 51 1990 Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075Glowinski, R.; Keller, H. B.; Reinhart, L. 50 1985 On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna 49 2007 Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation. Zbl 0763.76042Glowinski, R. 45 1992 Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116Dean, E. J.; Glowinski, R. 44 2006 On exact and approximate boundary controllabilities for the heat equation: A numerical approach. Zbl 0825.93316Carthel, C.; Glowinski, R.; Lions, J. L. 43 1994 Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen 43 2008 On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions. Zbl 0423.65059Glowinski, R.; Pironneau, O. 38 1979 Nash equilibria for the multiobjective control of linear partial differential equations. Zbl 1012.49020Ramos, A. M.; Glowinski, R.; Periaux, J. 37 2002 Exact and approximate controllability for distributed parameter systems. Zbl 0838.93013Glowinski, R.; Lions, J. L. 35 1994 Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105Glowinski, Roland; Wheeler, Mary Fanett 35 1988 Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041Glowinski, R.; Guidoboni, G.; Pan, T.-W. 32 2006 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 32 1999 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. 32 2005 Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach. Zbl 1027.49020Ramos, A. M.; Glowinski, R.; Periaux, J. 31 2002 Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow. Zbl 1178.76235Pan, Tsorng-Whay; Glowinski, Roland 31 2002 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 30 2000 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 30 1997 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 29 2011 Finite element methods for Navier-Stokes equations. Zbl 0743.76051Glowinski, Roland; Pironneau, Olivier 29 1992 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. 29 1979 First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019 28 1988 Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089Bensoussan, A.; Glowinski, R.; Rǎşcanu, A. 28 1992 Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065Glowinski, Roland 28 2015 A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084Glowinski, R.; Kinton, W.; Wheeler, M. F. 27 1989 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 27 2004 A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change. Zbl 0877.35066Bamberger, Alain; Glowinski, Roland; Tran, Quang Huy 27 1997 Fluidization of 1204 spheres: Simulation and experiment. Zbl 1037.76037Pan, T.-W.; Joseph, D. D.; Bai, R.; Glowinski, R.; Sarin, V. 26 2002 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068Ciarlet, P. G.; Glowinski, R. 25 1975 Controllability methods for the computation of time-periodic solutions; application to scattering. Zbl 0926.65054Bristeau, M. O.; Glowinski, R.; Périaux, J. 25 1998 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. 24 2006 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 24 2003 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 23 1996 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 23 1995 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. 23 1980 On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. Zbl 1005.65127Glowinski, Roland; Kuznetsov, Yuri 22 1998 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 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. 21 1988 Extended ALE method for fluid-structure interaction problems with large structural displacements. Zbl 1378.74020Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland 20 2017 Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng 20 2016 Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method. Zbl 0706.65100Glowinski, R.; Le Tallec, P. 20 1990 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 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 Domain decomposition methods for nonlinear problems in fluid dynamics. Zbl 0505.76068Glowinski, R.; Dinh, Q. V.; Periaux, J. 19 1983 Analyse numérique du champ magnetique d’un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire. Zbl 0288.65068Glowinski, R.; Marrocco, A. 19 1974 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 A Lagrange multiplier/fictitious domain method for the Dirichlet problem – generalization to some flow problems. Zbl 0835.76047Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques 19 1995 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. 19 1996 Variational formulation and algorithm for trace operator in domain decomposition calculations. Zbl 0684.65094Bourgat, J. F.; Glowinski, Roland; Le Tallec, Patrick; Vidrascu, Marina 19 1989 Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040Bensoussan, A.; Glowinski, R.; Rascanu, A. 18 1990 Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431Pan, Tsorng-Whay; Glowinski, Roland 18 2005 Sur des méthodes d’optimisation par relaxation. Zbl 0279.90033Cea, J.; Glowinski, R. 17 1974 On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024Glowinski, R.; Pironneau, O. 17 1975 Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146Glowinski, Roland 17 2008 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. 17 2013 On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012Glowinski, Roland; Wachs, Anthony 17 2011 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 16 2009 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. 16 2008 Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. Zbl 0704.65081Glowinski, R.; Kinton, W.; Wheeler, M. F. 16 1990 A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. Zbl 0901.76054Dean, Edward J.; Glowinski, Roland 15 1997 On some finite element methods for the numerical simulation of incompressible viscous flow. Zbl 1189.76336Dean, Edward J.; Glowinski, Roland 15 1993 On numerical methods for the Stokes problem. Zbl 0415.76024Glowinski, R.; Pironneau, O. 14 1979 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 14 1998 Fluid-particle flow: A symmetric formulation. Zbl 0880.76045Maury, Bertrand; Glowinski, Roland 14 1997 Numerical methods for the time dependent Navier-Stokes equations for incompressible viscous fluids. Zbl 0612.76033Glowinski, R. 14 1983 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 0287.65055Glowinski, Roland; Marrocco, Americo 13 1974 Operator-splitting methods for the simulation of Bingham visco-plastic flow. Zbl 1002.35100Dean, E. J.; Glowinski, R. 13 2002 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 Distributed Lagrange multipliers methods for particulate flows. Zbl 0919.76077Glowinski, R.; Hesla, T.; Joseph, D. D.; Pan, T.-W.; Périaux, J. 13 1997 A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127Girault, Vivette; Glowinski, Roland; Pan, T. W. 13 1999 An operator-splitting method for the Gaussian curvature regularization model with applications to surface smoothing and imaging. Zbl 07566194Liu, Hao; Tai, Xue-Cheng; Glowinski, Roland 1 2022 A fast operator-splitting method for Beltrami color image denoising. Zbl 1494.94005Duan, Yuping; Zhong, Qiuxiang; Tai, Xue-Cheng; Glowinski, Roland 1 2022 Bilinear optimal control of an advection-reaction-diffusion system. Zbl 1487.49038Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui 1 2022 A color elastica model for vector-valued image regularization. Zbl 07430639Liu, Hao; Tai, Xue-Cheng; Kimmel, Ron; Glowinski, Roland 4 2021 Overlapping domain decomposition methods for ptychographic imaging. Zbl 1470.94008Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong 2 2021 On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator. Zbl 1460.35183Glowinski, Roland; Leung, Shingyu; Liu, Hao; Qian, Jianliang 3 2020 An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming 2 2020 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 8 2019 Fast operator-splitting algorithms for variational imaging models: some recent developments. Zbl 1446.94007Glowinski, Roland; Luo, Shousheng; Tai, Xue-Cheng 6 2019 A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation. Zbl 1433.35157Liu, Hao; Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 5 2019 Numerical approximation of orthogonal maps. Zbl 1435.65195Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco 3 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 6 2018 A simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 4 2018 A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition. Zbl 1406.65100He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping 2 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 2 2018 An alternating direction method of multipliers for the numerical solution of a fully nonlinear partial differential equation involving the Jacobian determinant. Zbl 1380.65363Caboussat, Alexandre; Glowinski, Roland 2 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 20 2017 Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004 4 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 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 1397.76087Ivorra, Benjamin; Gomez, Susana; Glowinski, Roland; Ramos, Angel Manuel 1 2017 Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002 54 2016 Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng 20 2016 Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 8 2016 ADMM and non-convex variational problems. Zbl 1372.65192Glowinski, Roland 5 2016 An operator splitting approach to the solution of fluid-structure interaction problems in hemodynamics. Zbl 1451.76150Bukač, Martina; Čanić, Sunčica; Muha, Boris; Glowinski, Roland 4 2016 On the controllability of diffusion processes on a sphere: a numerical study. Zbl 1353.49042Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez 1 2016 Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel. Zbl 07516420Quaini, A.; Glowinski, R.; Čanić, S. 1 2016 Splitting methods for some nonlinear wave problems. Zbl 1372.65274Quaini, Annalisa; Glowinski, Roland 1 2016 Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065Glowinski, Roland 28 2015 A new augmented Lagrangian approach for \(L^1\)-mean curvature image denoising. Zbl 1330.94011Myllykoski, M.; Glowinski, R.; Kärkkäinen, T.; Rossi, T. 12 2015 A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092Glowinski, Roland; Leung, Shingyu; Qian, Jianliang 6 2015 A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation. Zbl 1325.65089Caboussat, Alexandre; Glowinski, Roland 5 2015 On the numerical solution of some eikonal equations: an elliptic solver approach. Zbl 1326.65075Caboussat, Alexandre; Glowinski, Roland; Pan, Tsorng-Whay 4 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 numerical algorithm for a fully nonlinear PDE involving the Jacobian determinant. Zbl 1328.65234Caboussat, Alexandre; Glowinski, Roland 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 2 2015 Numerical simulation of the motion of inextensible capsules in shear flow under the effect of the natural state. Zbl 1373.76099Niu, Xiting; Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland 1 2015 Comparison of time discretization schemes to simulate the motion of an inextensible beam. Zbl 1321.74064Basting, Steffen; Quaini, Annalisa; Glowinski, Roland; Canic, Suncica 1 2015 On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098Glowinski, Roland 63 2014 A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures. Zbl 1455.76034Bukač, M.; Čanić, S.; Glowinski, R.; Muha, B.; Quaini, A. 7 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 2 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 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 61 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. 17 2013 On an inequality of C. Sundberg: a computational investigation via nonlinear programming. Zbl 1276.49021Glowinski, R.; Quaini, A. 4 2013 Numerical methods for a class of nonlinear integro-differential equations. Zbl 1263.65132Glowinski, R.; Shiau, L.; Sheppard, M. 4 2013 Numerical simulation of lateral migration of red blood cells in Poiseuille flows. Zbl 1302.92021Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland 9 2012 Regularization methods for the numerical solution of the divergence equations \(\nabla \cdot \mathbf u=f\). Zbl 1274.65178Caboussat, 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 29 2011 On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012Glowinski, Roland; Wachs, Anthony 17 2011 A least-squares/fictitious domain method for linear elliptic problems with Robin boundary conditions. Zbl 1364.65218Glowinski, Roland; He, Qiaolin 5 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. 5 2011 Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001 3 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 Modelling and simulation of a polluted water pumping process. Zbl 1190.76168Alavani, Chitra; Glowinski, Roland; Gomez, Susana; Ivorra, Benjamin; Joshi, Pallavi; Ramos, Angel Manuel 6 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. 5 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 4 2010 A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073Sorensen, Danny C.; Glowinski, Roland 4 2010 Looking for the best constant in a Sobolev inequality: a numerical approach. Zbl 1235.90144Caboussat, Alexandre; Glowinski, Roland; Leonard, Allison 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 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 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 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 74 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 16 2009 On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid. Zbl 1163.76030Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland 9 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 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 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 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 Numerical solution of a non-smooth variational problem arising in stress analysis: The scalar case. Zbl 1158.74481Caboussat, Alexandre; Glowinski, Roland 1 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 methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050Glowinski, Roland 87 2008 Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen 43 2008 Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146Glowinski, Roland 17 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. 16 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 11 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 Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. Zbl 1152.65477Glowinski, Roland; Sorensen, Danny C. 6 2008 Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097Caffarelli, L. A.; Glowinski, R. 6 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. 6 2008 Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. 4 2008 Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach. Zbl 1162.76344Glowinski, Roland; Guidoboni, Giovanna 4 2008 A controllability approach to shape identification. Zbl 1170.49033Azencott, R.; Glowinski, R.; Ramos, A. M. 3 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 3 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 Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369Glowinski, R.; Kuznetsov, Yu. 54 2007 On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna 49 2007 Solving a non-smooth eigenvalue problem using operator-splitting methods. Zbl 1130.65112Majava, K.; Glowinski, R.; Kärkkäinen, T. 5 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. 2 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. 2 2007 Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116Dean, E. J.; Glowinski, R. 44 2006 Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041Glowinski, R.; Guidoboni, G.; Pan, T.-W. 32 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. 24 2006 Numerical study of a modified time-stepping \(\theta\)-scheme for incompressible flow simulations. Zbl 1158.76385Turek, Stefan; Rivkind, Ludmila; Hron, Jaroslav; Glowinski, Roland 11 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 11 2006 ...and 236 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,214 Authors 160 Noor, Muhammad Aslam 128 Glowinski, Roland 51 Yuan, Xiaoming 42 Sofonea, Mircea 40 Han, Weimin 36 Han, Deren 35 Haslinger, Jaroslav 35 Pan, Tsorng-Whay 34 Noor, Khalida Inayat 31 Yao, Jen-Chih 30 Bnouhachem, Abdellah 30 Ceng, Lu-Chuan 30 He, Bingsheng 26 Münch, Arnaud 24 Fernández, Jose Ramon 24 Yao, Yonghong 22 Fernández-Cara, Enrique 20 Shehu, Yekini 19 Hulsen, Martien A. 18 Al-Said, Eisa A. 18 Alduncin, Gonzalo 18 Liou, Yeongcheng 18 Repin, Sergeĭ Igorevich 18 Yu, Zhaosheng 18 Zuazua, Enrique 17 Čanić, Sunčica 17 Hlaváček, Ivan 17 Périaux, Jacques F. 17 Wen, Chingfeng 16 Burman, Erik 16 Caboussat, Alexandre 16 Cai, Xingju 16 Codina, Ramon 16 Fernández, Miguel Ángel 16 Gwinner, Joachim 16 Koko, Jonas 16 Li, Min 16 Pironneau, Olivier 16 Sun, Defeng 16 Tai, Xuecheng 16 Toh, Kim Chuan 15 Feng, Xiaobing 15 Wang, Song 15 Zhang, Wenxing 14 Düster, Alexander 14 Le Tallec, Patrick 14 Ma, Shiqian 13 Caltagirone, Jean-Paul 13 Cheng, Xiaoliang 13 Kunisch, Karl 13 Li, Kaitai 13 Patankar, Neelesh A. 13 Rank, Ernst 13 Vincent, Stéphane 12 Ding, Xie Ping 12 Dostál, Zdeněk 12 Guidoboni, Giovanna 12 Hild, Patrick 12 Minev, Peter Dimitrov 12 Neilan, Michael 12 Ng, Michael Kwok-Po 12 Rappaz, Jacques 12 Wang, Fei 11 Angot, Philippe 11 Bai, Zhongzhi 11 Boffi, Daniele 11 Bukač, Martina 11 Carstensen, Carsten 11 Farhat, Charbel H. 11 Frigaard, Ian A. 11 Gastaldi, Lucia 11 He, Jiwen 11 Hou, Yanren 11 Kazmi, Kaleem Raza 11 Lapin, Aleksandr Vasil’evich 11 Ma, Feng 11 Osher, Stanley Joel 11 Wachs, Anthony 11 Wick, Thomas 11 Wu, Zhongming 10 Angelov, Todor Angelov 10 Ansari, Qamrul Hasan 10 Bergmann, Michel 10 Campo, Marco A. 10 Dean, Edward Jerome 10 Gudi, Thirupathi 10 Gunzburger, Max D. 10 He, Yinnian 10 Hoppe, Ronald H. W. 10 Ionescu, Ioan Romeo 10 Ito, Kazufumi 10 Lewis, Thomas Lee 10 Li, Yuan 10 Liu, Sanyang 10 Ma, Changfeng 10 Muha, Boris 10 Olshanskii, Maxim A. 10 Quaini, Annalisa 10 Quarteroni, Alfio M. 10 Ramos, Angel Manuel ...and 6,114 more Authors all top 5 Cited in 430 Serials 349 Journal of Computational Physics 332 Computer Methods in Applied Mechanics and Engineering 195 Computers & Mathematics with Applications 180 Journal of Computational and Applied Mathematics 151 Journal of Scientific Computing 142 Computers and Fluids 125 Journal of Optimization Theory and Applications 123 Numerische Mathematik 121 Applied Mathematics and Computation 90 Journal of Mathematical Analysis and Applications 90 Applied Numerical Mathematics 87 Journal of Fluid Mechanics 65 Mathematics of Computation 60 SIAM Journal on Scientific Computing 58 International Journal for Numerical Methods in Engineering 57 Applied Mathematics Letters 52 International Journal for Numerical Methods in Fluids 51 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 50 Computational Optimization and Applications 48 Comptes Rendus. 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Real World Applications 13 Journal of Differential Equations 13 Acta Applicandae Mathematicae 13 Japan Journal of Industrial and Applied Mathematics 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Numerical Linear Algebra with Applications 12 Journal of Mathematical Fluid Mechanics 12 Boundary Value Problems 12 Advances in Applied Mathematics and Mechanics 12 Nonlinear Analysis. Theory, Methods & Applications 11 Computing 11 Computational Methods in Applied Mathematics 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Chinese Annals of Mathematics. Series B 10 Journal of Mathematical Sciences (New York) 10 Science China. Mathematics 9 Acta Mechanica 9 Acta Mathematicae Applicatae Sinica. English Series 9 Mathematics and Mechanics of Solids 9 Computational Geosciences 9 Optimization and Engineering 9 Journal of Nonlinear Science and Applications 8 Lobachevskii Journal of Mathematics 8 Evolution Equations and Control Theory ...and 330 more Serials all top 5 Cited in 47 Fields 2,584 Numerical analysis (65-XX) 1,615 Fluid mechanics (76-XX) 1,256 Partial differential equations (35-XX) 1,059 Calculus of variations and optimal control; optimization (49-XX) 897 Mechanics of deformable solids (74-XX) 710 Operations research, mathematical programming (90-XX) 374 Operator theory (47-XX) 237 Systems theory; control (93-XX) 156 Biology and other natural sciences (92-XX) 138 Information and communication theory, circuits (94-XX) 113 Computer science (68-XX) 90 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 88 Ordinary differential equations (34-XX) 82 Probability theory and stochastic processes (60-XX) 62 Classical thermodynamics, heat transfer (80-XX) 57 Optics, electromagnetic theory (78-XX) 54 Geophysics (86-XX) 42 Statistics (62-XX) 39 Statistical mechanics, structure of matter (82-XX) 37 Global analysis, analysis on manifolds (58-XX) 36 Mechanics of particles and systems (70-XX) 32 Functional analysis (46-XX) 26 Integral equations (45-XX) 24 Potential theory (31-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 18 Real functions (26-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Approximations and expansions (41-XX) 12 Differential geometry (53-XX) 11 General topology (54-XX) 9 Quantum theory (81-XX) 6 History and biography (01-XX) 5 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 4 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-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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