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## Glowinski, Roland

Compute Distance To:
 Author ID: glowinski.roland Published as: Glowinski, R.; Glowinski, Roland Homepage: https://www.math.uh.edu/~roland/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 413 Publications since 1970, including 43 Books Biographic References: 3 Publications
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#### Co-Authors

 35 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 8 Quaini, Annalisa 7 Čanić, Sunčica 7 Dinh, Q. V. 7 Girault, Vivette 7 Hesla, Todd I. 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 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 Bukač, Martina 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 Lapin, Aleksandr Vasil’evich 2 León-Velasco, D. Assaely 2 López, Héctor Andrés 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 2 Tai, Xuecheng 2 Terrasson, G. 2 Tran, Quang Huy 2 Vidrascu, Marina ...and 148 more Co-Authors
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#### Serials

 17 Journal of Computational Physics 16 Computer Methods in Applied Mechanics and Engineering 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 8 Journal of Scientific Computing 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 SIAM Review 3 East-West Journal of Numerical Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 International Journal of Computational Fluid Dynamics 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 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 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
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#### Fields

 253 Numerical analysis (65-XX) 210 Fluid mechanics (76-XX) 139 Partial differential equations (35-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 51 Mechanics of deformable solids (74-XX) 38 Systems theory; control (93-XX) 33 General and overarching topics; collections (00-XX) 29 Operations research, mathematical programming (90-XX) 14 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)

#### Citations contained in zbMATH Open

326 Publications have been cited 7,039 times in 4,377 Documents Cited by Year
Numerical methods for nonlinear variational problems. Zbl 0536.65054
Glowinski, Roland
1984
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Zbl 0698.73001
Glowinski, Roland; Le Tallec, Patrick
1989
Numerical analysis of variational inequalities. Transl. and rev. ed. Zbl 0463.65046
Glowinski, Roland; Lions, Jacques-Louis; Tremolieres, Raymond
1981
Numerical solution of nonlinear boundary value problems by variational methods. Applications. Zbl 0575.65123
Glowinski, R.
1984
Augmented Lagrangian methods: Applications to the numerical solution of boundary-value problems. (Transl. from the French). Zbl 0525.65045
Fortin, Michel (ed.); Glowinski, Roland (ed.)
1983
Sur l’approximation, par éléments finis d’ordre un, et la résolution, par penalisation-dualité, d’une classe de problèmes de Dirichlet non linéaires. Zbl 0368.65053
Glowinski, R.; Marroco, A.
1975
Numerical analysis of variational inequalities. (Chislennoe issledovanie variatsionnykh neravenstv). Transl. from the French by A. S. Kravchuk. Zbl 0508.65029
Glowinski, R.; Lions, J. L.; Tremolieres, R.
1979
A distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76592
Glowinski, R.; Pan, T.-W.; Hesla, T. I.; Joseph, D. D.
1999
A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. Zbl 1047.76097
Glowinski, R.; Pan, T. W.; Hesla, T. I.; Joseph, D. D.; Périaux, J.
2001
A fictitious domain method for Dirichlet problem and applications. Zbl 0845.73078
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
1994
Finite element methods for incompressible viscous flow. Zbl 1040.76001
Glowinski, Roland
2003
A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. Zbl 1137.76712
Patankar, N. A.; Singh, P.; Joseph, D. D.; Glowinski, R.; Pan, T.-W.
2000
Analyse numérique des inéquations variationnelles. Tome 1: Théorie générale premieres applications. Tome 2: Applications aux phénomènes stationnaires et d’évolution. Zbl 0358.65091
Glowinski, R.; Lions, J. L.; Tremolieres, R.
1976
A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Zbl 0845.76069
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
1994
Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050
Glowinski, Roland
2008
Numerical methods for the first biharmonic equation and for the two- dimensional Stokes problem. Zbl 0427.65073
Glowinski, R.; Pironneau, O.
1979
Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056
Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica
2009
A numerical approach to the exact boundary controllability of the wave equation. I: Dirichlet controls: Description of the numerical methods. Zbl 0699.65055
Glowinski, Roland; Li, Chin-Hsien; Lions, Jacques-Louis
1990
Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Méthodes de résolution des problèmes approches. Zbl 0323.90063
Begis, D.; Glowinski, R.
1975
Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002
Glowinski, Roland; Rappaz, Jacques
2003
Lectures on numerical methods for non-linear variational problems. Zbl 0456.65035
Glowinski, R.
1980
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
1995
Exact and approximate controllability for distributed parameter systems. Zbl 0838.93014
Glowinski, R.; Lions, J. L.
1995
Wavelet solutions of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Zbl 0799.65109
Glowinski, Roland; Lawton, Wayne; Ravachol, Michel; Tenenbaum, Eric
1990
Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036
Fortin, M. (ed.); Glowinski, R. (ed.)
1982
Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105
Glowinski, Roland; Wheeler, Mary Fanett
1988
Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Zbl 0916.76052
Glowinski, R.; Pan, T. W.; Périaux, J.
1998
Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075
Glowinski, R.; Keller, H. B.; Reinhart, L.
1985
On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098
Glowinski, Roland
2014
Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369
Glowinski, R.; Kuznetsov, Yu.
2007
Active control and drag optimization for flow past a circular cylinder. I: Oscillatory cylinder rotation. Zbl 0977.76021
He, J.-W.; Glowinski, R.; Metcalfe, R.; Nordlander, A.; Periaux, J.
2000
Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062
Feng, Xiaobing; Glowinski, Roland; Neilan, Michael
2013
On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061
Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna
2007
Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116
Dean, E. J.; Glowinski, R.
2006
Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation. Zbl 0763.76042
Glowinski, R.
1992
Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002
Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen
2008
On exact and approximate boundary controllabilities for the heat equation: A numerical approach. Zbl 0825.93316
Carthel, C.; Glowinski, R.; Lions, J. L.
1994
On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions. Zbl 0423.65059
Glowinski, R.; Pironneau, O.
1979
Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002
Glowinski, Roland (ed.); Osher, Stanley J. (ed.); Yin, Wotao (ed.)
2016
First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019
Glowinski, Roland (ed.); Golub, Gene (ed.); Meurant, Gérard A. (ed.); Périaux, Jacques (ed.)
1988
A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow. Zbl 0971.76046
Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Périaux, Jacques
1999
Migration of a sphere in tube flow. Zbl 1082.76028
Yang, B. H.; Wang, J.; Joseph, D. D.; Hu, H. H.; Pan, T.-W.; Glowinski, R.
2005
Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow. Zbl 1178.76235
Pan, Tsorng-Whay; Glowinski, Roland
2002
Exact and approximate controllability for distributed parameter systems. Zbl 0838.93013
Glowinski, R.; Lions, J. L.
1994
A distributed Lagrange multiplier/fictious domain method for the simulation of flow around moving rigid bodies: Application to particulate flow. Zbl 0970.76057
Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Periaux, Jacques
2000
Finite element methods for Navier-Stokes equations. Zbl 0743.76051
Glowinski, Roland; Pironneau, Olivier
1992
Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068
Ciarlet, P. G.; Glowinski, R.
1975
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041
Glowinski, R.; Guidoboni, G.; Pan, T.-W.
2006
Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1063.65121
Dean, Edward J.; Glowinski, Roland
2004
Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach. Zbl 1027.49020
Ramos, A. M.; Glowinski, R.; Periaux, J.
2002
On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems. Zbl 0423.76047
Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.
1979
Nash equilibria for the multiobjective control of linear partial differential equations. Zbl 1012.49020
Ramos, A. M.; Glowinski, R.; Periaux, J.
2002
Fluidization of 1204 spheres: Simulation and experiment. Zbl 1037.76037
Pan, T.-W.; Joseph, D. D.; Bai, R.; Glowinski, R.; Sarin, V.
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 0885.76073
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
1997
A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change. Zbl 0877.35066
Bamberger, Alain; Glowinski, Roland; Tran, Quang Huy
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 1416.76111
He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping
2011
Application of optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows. Zbl 0449.76002
Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Periaux, J.; Perrier, P.; Poirier, G.
1980
Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: An augmented Lagrangian approach. Zbl 1028.65120
Dean, Edward J.; Glowinski, Roland
2003
An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119
Dean, E. J.; Glowinski, R.
2006
Wavelet and finite element solutions for the Neumann problem using fictitious domains. Zbl 0852.65098
Glowinski, Roland; Pan, T. W.; Wells, Raymond O. jun.; Zhou, Xiaodong
1996
A mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1989
On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method. Zbl 1005.65127
Glowinski, Roland; Kuznetsov, Yuri
1998
Numerical simulation and optimal shape for viscous flow by a fictitious domain method. Zbl 0837.76068
Glowinski, Roland; Pan, Tsorng-Whay; Kearsley, Anthony J.; Periaux, Jacques
1995
Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089
Bensoussan, A.; Glowinski, R.; Rǎşcanu, A.
1992
Finite element methods for the numerical simulation of incompressible viscous flow. Introduction to the control of the Navier-Stokes equations. Zbl 0751.76046
Glowinski, Roland
1991
Variational formulation and algorithm for trace operator in domain decomposition calculations. Zbl 0684.65094
Bourgat, J. F.; Glowinski, Roland; Le Tallec, Patrick; Vidrascu, Marina
1989
Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065
Glowinski, Roland
2015
A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows. Zbl 0972.76080
Singh, P.; Joseph, D. D.; Hesla, T. I.; Glowinski, R.; Pan, T.-W.
2000
Controllability methods for the computation of time-periodic solutions; application to scattering. Zbl 0926.65054
Bristeau, M. O.; Glowinski, R.; Périaux, J.
1998
Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow. Zbl 0760.76044
Dean, E. J.; Glowinski, R.; Pironneau, O.
1991
Petrov-Galerkin methods on multiply connected domains for the vorticity- stream function formulation of the incompressible Navier-Stokes equations. Zbl 0667.76046
Tezduyar, T. E.; Glowinski, R.; Liou, J.
1988
On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. II: Application to transonic flow simulations. Zbl 0555.76046
Bristeau, M. O.; Pironneau, O.; Glowinski, R.; Périaux, J.; Perrier, P.; Poirier, G.
1985
Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431
Pan, Tsorng-Whay; Glowinski, Roland
2005
Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method. Zbl 0706.65100
Glowinski, R.; Le Tallec, P.
1990
Domain decomposition methods for nonlinear problems in fluid dynamics. Zbl 0505.76068
Glowinski, R.; Dinh, Q. V.; Periaux, J.
1983
Analyse numérique du champ magnetique d’un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire. Zbl 0288.65068
Glowinski, R.; Marrocco, A.
1974
On some finite element methods for the numerical simulation of incompressible viscous flow. Zbl 1189.76336
Dean, Edward J.; Glowinski, Roland
1993
Numerical methods for the time dependent Navier-Stokes equations for incompressible viscous fluids. Zbl 0612.76033
Glowinski, R.
1983
Sur des méthodes d’optimisation par relaxation. Zbl 0279.90033
Cea, J.; Glowinski, R.
1974
A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow. Zbl 0923.76109
Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I.; Joseph, Daniel D.; Periaux, Jacques
1998
A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. Zbl 0901.76054
Dean, Edward J.; Glowinski, Roland
1997
A Lagrange multiplier/fictitious domain method for the Dirichlet problem – generalization to some flow problems. Zbl 0835.76047
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques
1995
A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Zbl 1162.74012
Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey
2009
Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146
Glowinski, Roland
2008
Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation. Zbl 1141.76043
Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W.
2008
Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040
Bensoussan, A.; Glowinski, R.; Rascanu, A.
1990
Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. Zbl 0704.65081
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1990
Extended ALE method for fluid-structure interaction problems with large structural displacements. Zbl 1378.74020
Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland
2017
On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012
Glowinski, Roland; Wachs, Anthony
2011
Fluid-particle flow: A symmetric formulation. Zbl 0880.76045
Maury, Bertrand; Glowinski, Roland
1997
A computational approach to controllability issues for flow-related models. I: Pointwise control of the viscous Burgers equation. Zbl 0894.76056
Berggren, M.; Glowinski, R.; Lions, J. L.
1996
Numerical simulation of compressible Navier-Stokes flows. A GAMM-Workhop (held at Nice, France, December 4-6, 1985). Zbl 0625.00023
Bristeau, Marie Odile (ed.); Glowinski, Roland (ed.); Periaux, Jacques (ed.); Viviand, Henri (ed.)
1987
On numerical methods for the Stokes problem. Zbl 0415.76024
Glowinski, R.; Pironneau, O.
1979
On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024
Glowinski, R.; Pironneau, O.
1975
A wave equation approach to the numerical simulation of incompressible viscous fluid flow modelled by the Navier-Stokes equations. Zbl 0959.76070
Dean, E. J.; Glowinski, R.; Pan, T. W.
1998
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
Chan, Tony F. (ed.); Glowinski, Roland (ed.); Periaux, Jacques (ed.); Widlund, Olof B. (ed.)
1989
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089
Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C.
2013
Finite element approximation of multi-scale elliptic problems using patches of elements. Zbl 1080.65109
Glowinski, Roland; He, Jiwen; Lozinski, Alexei; Rappaz, Jacques; Wagner, Joël
2005
Operator-splitting methods for the simulation of Bingham visco-plastic flow. Zbl 1002.35100
Dean, E. J.; Glowinski, R.
2002
A fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
1999
A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation. Zbl 1447.65141
Glowinski, Roland; Liu, Hao; Leung, Shingyu; Qian, Jianliang
2019
Fast operator-splitting algorithms for variational imaging models: some recent developments. Zbl 1446.94007
Glowinski, Roland; Luo, Shousheng; Tai, Xue-Cheng
2019
A least-squares/relaxation method for the numerical solution of the three-dimensional elliptic Monge-Ampère equation. Zbl 1407.65284
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios
2018
A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids. Zbl 1410.76163
Chiu, Shang-Huan; Pan, Tsorng-Whay; Glowinski, Roland
2018
An alternating direction method of multipliers for the numerical solution of a fully nonlinear partial differential equation involving the Jacobian determinant. Zbl 1380.65363
Caboussat, Alexandre; Glowinski, Roland
2018
A 3D DLM/FD method for simulating the motion of spheres and ellipsoids under creeping flow conditions. Zbl 1375.76205
Pan, Tsorng-Whay; Guo, Aixia; Chiu, Shang-Huan; Glowinski, Roland
2018
Extended ALE method for fluid-structure interaction problems with large structural displacements. Zbl 1378.74020
Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland
2017
Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions. Zbl 1421.76172
Guo, Aixia; Pan, Tsorng-Whay; He, Jiwen; Glowinski, Roland
2017
Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002
Glowinski, Roland (ed.); Osher, Stanley J. (ed.); Yin, Wotao (ed.)
2016
Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205
Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng
2016
ADMM and non-convex variational problems. Zbl 1372.65192
Glowinski, Roland
2016
Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid. Zbl 1407.65104
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2016
An operator splitting approach to the solution of fluid-structure interaction problems in hemodynamics. Zbl 1451.76150
Bukač, Martina; Čanić, Sunčica; Muha, Boris; Glowinski, Roland
2016
Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065
Glowinski, Roland
2015
A new augmented Lagrangian approach for $$L^1$$-mean curvature image denoising. Zbl 1330.94011
Myllykoski, M.; Glowinski, R.; Kärkkäinen, T.; Rossi, T.
2015
A DLM/FD/IB method for simulating compound vesicle motion under creeping flow condition. Zbl 1349.76946
Pan, Tsorng-Whay; Zhao, Shihai; Niu, Xiting; Glowinski, Roland
2015
A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation. Zbl 1325.65089
Caboussat, Alexandre; Glowinski, Roland
2015
A penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2015
On the controllability of diffusion processes on the surface of a torus: a computational approach. Zbl 1352.49028
León-Velasco, D. Assaely; Glowinski, Roland; Juárez-Valencia, L. Héctor
2015
On the numerical solution of some eikonal equations: an elliptic solver approach. Zbl 1326.65075
Caboussat, Alexandre; Glowinski, Roland; Pan, Tsorng-Whay
2015
Comparison of time discretization schemes to simulate the motion of an inextensible beam. Zbl 1321.74064
Basting, Steffen; Quaini, Annalisa; Glowinski, Roland; Canic, Suncica
2015
A numerical algorithm for a fully nonlinear PDE involving the Jacobian determinant. Zbl 1328.65234
Caboussat, Alexandre; Glowinski, Roland
2015
On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098
Glowinski, Roland
2014
Oscillating motions of neutrally buoyant particle and red blood cell in Poiseuille flow in a narrow channel. Zbl 1321.76088
Shi, Lingling; Yu, Yao; Pan, Tsorng-Whay; Glowinski, Roland
2014
On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in $$\mathbb R^3$$: a computational approach. Zbl 1304.65244
Bonito, Andrea; Glowinski, Roland
2014
Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062
Feng, Xiaobing; Glowinski, Roland; Neilan, Michael
2013
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. Zbl 1272.65089
Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C.
2013
Numerical methods for a class of nonlinear integro-differential equations. Zbl 1263.65132
Glowinski, R.; Shiau, L.; Sheppard, M.
2013
On an inequality of C. Sundberg: a computational investigation via nonlinear programming. Zbl 1276.49021
Glowinski, R.; Quaini, A.
2013
Numerical simulation of lateral migration of red blood cells in Poiseuille flows. Zbl 1302.92021
Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland
2012
Regularization methods for the numerical solution of the divergence equations $$\nabla \cdot \mathbf u=f$$. Zbl 1274.65178
Caboussat, Alexandre; Glowinski, Roland
2012
A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line. Zbl 1416.76111
He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping
2011
On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012
Glowinski, Roland; Wachs, Anthony
2011
A least-squares/fictitious domain method for linear elliptic problems with Robin boundary conditions. Zbl 1364.65218
Glowinski, Roland; He, Qiaolin
2011
Solution of time-periodic wave equation using mixed finite elements and controllability techniques. Zbl 1291.76202
Kähkönen, Sami; Glowinski, Roland; Rossi, Tuomo; Mäkinen, Raino A. E.
2011
Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001
Glowinski, Roland (ed.); Xu, Jinchao (ed.)
2011
Positive definiteness preserving approaches for viscoelastic flow of Oldroyd-B fluids: applications to a lid-driven cavity flow and a particulate flow. Zbl 1318.76011
Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland
2011
Numerical solution of a variational problem arising in stress analysis: the vector case. Zbl 1387.74105
Caboussat, Alexandre; Glowinski, Roland
2010
Diffeomorphic matching and dynamic deformable surfaces in 3D medical imaging. Zbl 1283.49029
Azencott, R.; Glowinski, R.; He, J.; Jajoo, A.; Li, Y.; Martynenko, A.; Hoppe, R. H. W.; Benzekry, S.; Little, S. H.; Zoghbi, W. A.
2010
A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073
Sorensen, Danny C.; Glowinski, Roland
2010
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008
Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim
2010
A DLM/FD/IB method for simulating cell/cell and cell/particle interaction in microchannels. Zbl 1428.76246
Pan, Tsorng-Whay; Shi, Lingling; Glowinski, Roland
2010
Looking for the best constant in a Sobolev inequality: a numerical approach. Zbl 1235.90144
Caboussat, Alexandre; Glowinski, Roland; Leonard, Allison
2010
Modelling and simulation of a polluted water pumping process. Zbl 1190.76168
Alavani, Chitra; Glowinski, Roland; Gomez, Susana; Ivorra, Benjamin; Joshi, Pallavi; Ramos, Angel Manuel
2010
Parallel finite element simulations of incompressible viscous fluid flow by domain decomposition with Lagrange multipliers. Zbl 1346.76072
Rivera, Christian A.; Heniche, Mourad; Glowinski, Roland; Tanguy, Philippe A.
2010
Qualitative properties and approximation of solutions of Bingham flows: on the stabilization for large time and the geometry of the support. Zbl 1204.35133
Díaz, J. I.; Glowinski, R.; Guidoboni, G.; Kim, T.
2010
Numerical methods for the vector-valued solutions of non-smooth eigenvalue problems. Zbl 1203.65248
Caboussat, Alexandre; Glowinski, Roland
2010
A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure. Zbl 1406.76097
Wang, Tong; Pan, Tsorng-Whay; Glowinski, Roland
2010
Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow. Zbl 1261.76056
Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica
2009
A kinematically coupled time-splitting scheme for fluid-structure interaction in blood flow. Zbl 1162.74012
Guidoboni, Giovanna; Glowinski, Roland; Cavallini, Nicola; Canic, Suncica; Lapin, Sergey
2009
An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064
Caboussat, A.; Glowinski, R.; Pons, V.
2009
On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid. Zbl 1163.76030
Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland
2009
A fictitious domain/distributed Lagrange multiplier method for the particulate flow of Oldroyd-B fluids: a positive definiteness preserving approach. Zbl 1274.76344
Hao, Jian; Pan, Tsorng-Whay; Glowinski, Roland; Joseph, Daniel D.
2009
A numerical method for a non-smooth advection-diffusion problem arising in sand mechanics. Zbl 1153.76039
Caboussat, Alexandre; Glowinski, Roland
2009
A fluid-cell interaction and adhesion algorithm for tissue coating of cardiovascular implants. Zbl 1181.92045
Hao, Jian; Pan, Tsorng-Whay; Čanić, Sunčica; Glowinski, Roland; Rosenstrauch, Doreen
2009
A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow. Zbl 1158.82314
Glowinski, Roland; Lin, Ping; Pan, Xing-Bin
2009
On the preconditioned conjugate gradient solution of a Stokes problem with Robin-type boundary conditions. Zbl 1177.35149
Glowinski, Roland; Guidoboni, Giovanna
2009
Numerical solution of a non-smooth variational problem arising in stress analysis: The scalar case. Zbl 1158.74481
Caboussat, Alexandre; Glowinski, Roland
2009
Numerical methods for nonlinear variational problems. 2nd printing. Zbl 1139.65050
Glowinski, Roland
2008
Exact and approximate controllability for distributed parameter systems: a numerical approach. Zbl 1142.93002
Glowinski, Roland; Lions, Jacques-Louis; He, Jiwen
2008
Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146
Glowinski, Roland
2008
Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation. Zbl 1141.76043
Glowinski, R.; Dean, E. J.; Guidoboni, G.; Juárez, L. H.; Pan, T.-W.
2008
On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow. Zbl 1158.76353
Pan, Tsorng-Whay; Chang, Chien-Cheng; Glowinski, Roland
2008
On the numerical solution of the elliptic Monge-Ampère equation in dimension two: a least-squares approach. Zbl 1152.65479
Dean, Edward J.; Glowinski, Roland
2008
A numerical method for interface reconstruction of triple points within a volume tracking algorithm. Zbl 1187.76694
Caboussat, A.; Francois, M. M.; Glowinski, R.; Kothe, D. B.; Sicilian, J. M.
2008
Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization. Zbl 1155.65097
Caffarelli, L. A.; Glowinski, R.
2008
Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. Zbl 1152.65477
Glowinski, Roland; Sorensen, Danny C.
2008
Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach. Zbl 1162.76344
Glowinski, Roland; Guidoboni, Giovanna
2008
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C.
2008
Non-smooth SOR for $$L ^{1}$$-fitting: convergence study and discussion of related issues. Zbl 1203.65070
Glowinski, R.; Kärkkäinen, T.; Valkonen, T.; Ivannikov, A.
2008
A controllability approach to shape identification. Zbl 1170.49033
Azencott, R.; Glowinski, R.; Ramos, A. M.
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
Glowinski, Roland (ed.); Neittaanmäki, Pekka (ed.)
2008
Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369
Glowinski, R.; Kuznetsov, Yu.
2007
On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061
Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna
2007
Solving a non-smooth eigenvalue problem using operator-splitting methods. Zbl 1130.65112
Majava, K.; Glowinski, R.; Kärkkäinen, T.
2007
On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. I: Problem formulation and description of the algorithms. Zbl 1152.65476
Foss, F. J. II.; Glowinski, R.; Hoppe, R. H. W.
2007
On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. II. Numerical experiments. Zbl 1153.65370
Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W.
2007
Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116
Dean, E. J.; Glowinski, R.
2006
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041
Glowinski, R.; Guidoboni, G.; Pan, T.-W.
2006
An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions. Zbl 1112.65119
Dean, E. J.; Glowinski, R.
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 1105.65074
Glowinski, Roland; Rossi, Tuomo
2006
Numerical study of a modified time-stepping $$\theta$$-scheme for incompressible flow simulations. Zbl 1158.76385
Turek, Stefan; Rivkind, Ludmila; Hron, Jaroslav; Glowinski, Roland
2006
Numerical simulation of a multi-store separation phenomenon: a fictitious domain approach. Zbl 1121.76034
Glowinski, Roland; Pan, Tsorng-Whay; Périaux, Jacques
2006
On the numerical simulation of friction constrained motions. Zbl 1125.74035
Glowinski, Roland; Shiau, LieJune; Kuo, Ying Ming; Nasser, George
2006
Computation of the normal vector to a free surface by a finite element-finite volume mixed method. Zbl 1102.76033
Caboussat, Alexandre; Glowinski, Roland; Sicilian, James M.
2006
Migration of a sphere in tube flow. Zbl 1082.76028
Yang, B. H.; Wang, J.; Joseph, D. D.; Hu, H. H.; Pan, T.-W.; Glowinski, R.
2005
Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431
Pan, Tsorng-Whay; Glowinski, Roland
2005
Finite element approximation of multi-scale elliptic problems using patches of elements. Zbl 1080.65109
Glowinski, Roland; He, Jiwen; Lozinski, Alexei; Rappaz, Jacques; Wagner, Joël
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 1188.65115
Dean, Edward J.; Glowinski, Roland; Pan, Tsorng-Whay
2005
A two-grids/projection algorithm for obstacle problems. Zbl 1084.65066
Caboussat, A.; Glowinski, R.
2005
On the numerical solution of a two-dimensional Pucci’s equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1081.65543
Dean, Edward J.; Glowinski, Roland
2005
An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems. Zbl 1083.65090
Bokil, Vrushali A.; Glowinski, Roland
2005
A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems. Zbl 1070.65092
Glowinski, Roland; Toivanen, Jari
2005
Simulating the dynamics of fluid-cylinder interactions. Zbl 1160.76304
Pan, Tsorng-Whay; Glowinski, Roland; Joseph, Daniel D.
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 1092.68548
Zhang, Wu (ed.); Chen, Z. (ed.); Glowinski, R. (ed.); Tong, W. (ed.)
2005
Domain embedding/controllability methods for the conjugate gradient solution of wave propagation problems. Zbl 1076.78015
Chen, H. Q.; Glowinski, R.; Periaux, J.; Toivanen, J.
2005
Numerical solution of the two-dimensional elliptic Monge–Ampère equation with Dirichlet boundary conditions: a least-squares approach. Zbl 1063.65121
Dean, Edward J.; Glowinski, Roland
2004
On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610
Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay
2004
A domain decomposition and mixed method for a linear parabolic boundary value problem. Zbl 1062.65101
Girault, V.; Glowinski, R.; López, H.
2004
Solution of a wave equation by a mixed finite element-fictitious domain method. Zbl 1060.65107
Glowinski, Roland; Lapin, Serguei
2004
...and 226 more Documents
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#### Cited by 5,824 Authors

 156 Noor, Muhammad Aslam 119 Glowinski, Roland 47 Yuan, Xiaoming 37 Han, Weimin 36 Sofonea, Mircea 35 Haslinger, Jaroslav 35 Pan, Tsorng-Whay 31 Ceng, Lu-Chuan 30 Han, Deren 30 Noor, Khalida Inayat 29 Bnouhachem, Abdellah 26 Yao, Jen-Chih 24 Fernández, Jose Ramon 24 He, Bingsheng 23 Münch, Arnaud 22 Yao, Yonghong 21 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 Čanić, Sunčica 16 Codina, Ramon 16 Gwinner, Joachim 15 Fernández, Miguel Ángel 15 Koko, Jonas 15 Le Tallec, Patrick 15 Sun, Defeng 15 Toh, Kimchuan 15 Wen, Chingfeng 15 Yu, Zhaosheng 14 Caltagirone, Jean-Paul 14 Vincent, Stéphane 13 Caboussat, Alexandre 13 Cheng, Xiaoliang 13 Ding, Xie Ping 13 Düster, Alexander 13 Feng, Xiaobing 13 Li, Kaitai 13 Ma, Shiqian 13 Patankar, Neelesh A. 13 Rank, Ernst 12 Burman, Erik 12 Kunisch, Karl 12 Ma, Changfeng 12 Minev, Peter Dimitrov 12 Neilan, Michael 12 Rappaz, Jacques 12 Wang, Song 12 Zhang, Wenxing 11 Ansari, Qamrul Hasan 11 Bai, Zhongzhi 11 Dostál, Zdeněk 11 Farhat, Charbel H. 11 Frigaard, Ian A. 11 Kazmi, Kaleem Raza 11 Lapin, Aleksandr Vasil’evich 11 Osher, Stanley Joel 11 Quarteroni, Alfio M. 10 Angelov, Todor Angelov 10 Angot, Philippe 10 Cai, Xingju 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 Carey, Graham Francis 9 Dong, Bin 9 Gastaldi, Lucia 9 Gudi, Thirupathi 9 Henshaw, William D. 9 Hild, Patrick 9 Hoppe, Ronald H. W. 9 Kang, Shin Min 9 Lin, Ping 9 Liu, Sanyang ...and 5,724 more Authors
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#### Cited in 382 Serials

 335 Journal of Computational Physics 334 Computer Methods in Applied Mechanics and Engineering 182 Computers & Mathematics with Applications 180 Journal of Computational and Applied Mathematics 138 Computers and Fluids 124 Applied Mathematics and Computation 120 Numerische Mathematik 119 Journal of Scientific Computing 111 Journal of Optimization Theory and Applications 91 Journal of Mathematical Analysis and Applications 84 Applied Numerical Mathematics 75 Journal of Fluid Mechanics 64 Applied Mathematics Letters 62 Mathematics of Computation 58 International Journal for Numerical Methods in Engineering 52 International Journal for Numerical Methods in Fluids 49 SIAM Journal on Scientific Computing 48 Comptes Rendus. Mathématique. Académie des Sciences, Paris 44 Computational Mechanics 44 Mathematical and Computer Modelling 43 Computational Optimization and Applications 40 Numerical Functional Analysis and Optimization 37 Abstract and Applied Analysis 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 SIAM Journal on Numerical Analysis 34 Numerical Algorithms 33 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 32 Journal of Inequalities and Applications 31 International Journal of Computer Mathematics 31 Mathematical Programming. Series A. Series B 30 RAIRO. Modélisation Mathématique et Analyse Numérique 30 Applied Mathematical Modelling 28 Applications of Mathematics 27 Numerical Methods for Partial Differential Equations 27 SIAM Journal on Optimization 25 Physics of Fluids 25 Advances in Computational Mathematics 24 Applied Mathematics and Optimization 24 Calcolo 24 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 SIAM Journal on Imaging Sciences 23 Optimization 22 International Journal of Engineering Science 21 Mathematical Methods in the Applied Sciences 20 Aplikace Matematiky 18 RAIRO. Analyse Numérique 18 Journal of Global Optimization 18 Journal of Mathematical Imaging and Vision 18 Journal of Applied Mathematics 18 Fixed Point Theory and Applications 17 Optimization Letters 16 Applied Mathematics and Mechanics. (English Edition) 16 Journal of Non-Newtonian Fluid Mechanics 16 Communications in Numerical Methods in Engineering 16 Mathematical Problems in Engineering 15 Applicable Analysis 15 SIAM Journal on Control and Optimization 15 Optimization Methods & Software 15 Archives of Computational Methods in Engineering 15 Journal of Numerical Mathematics 14 European Journal of Mechanics. B. Fluids 14 Journal of Applied Mathematics and Computing 13 BIT 13 Japan Journal of Industrial and Applied Mathematics 13 Engineering Analysis with Boundary Elements 13 Nonlinear Analysis. Real World Applications 13 Inverse Problems and Imaging 13 Journal of the Operations Research Society of China 12 Journal of Differential Equations 12 Mathematics and Computers in Simulation 12 Systems & Control Letters 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Numerical Linear Algebra with Applications 12 International Journal of Computational Fluid Dynamics 12 Journal of Industrial and Management Optimization 12 Nonlinear Analysis. Theory, Methods & Applications 11 Computing 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Chinese Annals of Mathematics. Series B 10 Journal of Mathematical Sciences (New York) 9 Inverse Problems 9 Acta Applicandae Mathematicae 9 Acta Mathematicae Applicatae Sinica. English Series 9 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Nonlinear Science and Applications 9 Science China. Mathematics 8 Computational and Applied Mathematics 8 Mathematics and Mechanics of Solids 8 Computational Geosciences 8 Computational Methods in Applied Mathematics 7 Acta Mechanica 7 Journal of the Franklin Institute 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Automatica 7 Kybernetika 7 European Journal of Applied Mathematics 7 Journal of Mathematical Fluid Mechanics 7 Lobachevskii Journal of Mathematics ...and 282 more Serials
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#### Cited in 48 Fields

 2,329 Numerical analysis (65-XX) 1,468 Fluid mechanics (76-XX) 1,101 Partial differential equations (35-XX) 964 Calculus of variations and optimal control; optimization (49-XX) 817 Mechanics of deformable solids (74-XX) 598 Operations research, mathematical programming (90-XX) 325 Operator theory (47-XX) 202 Systems theory; control (93-XX) 131 Biology and other natural sciences (92-XX) 103 Information and communication theory, circuits (94-XX) 82 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Ordinary differential equations (34-XX) 69 Probability theory and stochastic processes (60-XX) 69 Computer science (68-XX) 59 Classical thermodynamics, heat transfer (80-XX) 51 Geophysics (86-XX) 50 Optics, electromagnetic theory (78-XX) 37 Mechanics of particles and systems (70-XX) 34 Global analysis, analysis on manifolds (58-XX) 33 Statistical mechanics, structure of matter (82-XX) 29 Statistics (62-XX) 25 Functional analysis (46-XX) 22 Integral equations (45-XX) 21 Potential theory (31-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Real functions (26-XX) 15 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) 5 Functions of a complex variable (30-XX) 4 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 2 Combinatorics (05-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 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)

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