## Glowinski, Roland

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 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: 235 Co-Authors with 394 Joint Publications 6,509 Co-Co-Authors
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### 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 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 2 Terrasson, G. ...and 161 more Co-Authors
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### 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 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
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### 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)

### Citations contained in zbMATH Open

333 Publications have been cited 7,318 times in 4,851 Documents Cited by Year
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Zbl 0698.73001
Glowinski, Roland; Le Tallec, Patrick
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 0368.65053
Glowinski, R.; Marroco, A.
1975
Numerical methods for nonlinear variational problems. Zbl 0536.65054
Glowinski, Roland
1984
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
1983
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
Numerical analysis of variational inequalities. Transl. and rev. ed. Zbl 0463.65046
Glowinski, Roland; Lions, Jacques-Louis; Tremolieres, Raymond
1981
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
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
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
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
Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology. Zbl 1046.76002
Glowinski, Roland; Rappaz, Jacques
2003
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
Error analysis of a fictitious domain method applied to a Dirichlet problem. Zbl 0843.65076
Girault, V.; Glowinski, R.
1995
Lectures on numerical methods for non-linear variational problems. Zbl 0456.65035
Glowinski, R.
1980
On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098
Glowinski, Roland
2014
Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Méthodes de résolution des problèmes approches. Zbl 0323.90063
Begis, D.; Glowinski, R.
1975
Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062
Feng, Xiaobing; Glowinski, Roland; Neilan, Michael
2013
Exact and approximate controllability for distributed parameter systems. Zbl 0838.93014
Glowinski, R.; Lions, J. L.
1995
Methodes de Lagrangian augmente. Applications a la resolution numerique de problemes aux limites. Zbl 0491.65036
1982
Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Zbl 0916.76052
Glowinski, R.; Pan, T. W.; Périaux, J.
1998
Splitting methods in communication and imaging, science, and engineering. Zbl 1362.65002
2016
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
Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Zbl 1173.65369
Glowinski, R.; Kuznetsov, Yu.
2007
Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems. Zbl 0589.65075
Glowinski, R.; Keller, H. B.; Reinhart, L.
1985
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
On the numerical simulation of Bingham viscoplastic flow: old and new results. Zbl 1107.76061
Dean, Edward J.; Glowinski, Roland; Guidoboni, Giovanna
2007
Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation. Zbl 0763.76042
Glowinski, R.
1992
Numerical methods for fully nonlinear elliptic equations of the Monge-Ampère type. Zbl 1119.65116
Dean, E. J.; Glowinski, R.
2006
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
Nash equilibria for the multiobjective control of linear partial differential equations. Zbl 1012.49020
Ramos, A. M.; Glowinski, R.; Periaux, J.
2002
Exact and approximate controllability for distributed parameter systems. Zbl 0838.93013
Glowinski, R.; Lions, J. L.
1994
Domain decomposition and mixed finite element methods for elliptic problems. Zbl 0661.65105
Glowinski, Roland; Wheeler, Mary Fanett
1988
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
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity. Zbl 1090.76041
Glowinski, R.; Guidoboni, G.; Pan, T.-W.
2006
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
Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach. Zbl 1027.49020
Ramos, A. M.; Glowinski, R.; Periaux, J.
2002
Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow. Zbl 1178.76235
Pan, Tsorng-Whay; Glowinski, Roland
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 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
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
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
Variational methods for the numerical solution of nonlinear elliptic problems. Zbl 1333.65065
Glowinski, Roland
2015
First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019
1988
Approximation of some stochastic differential equations by the splitting up method. Zbl 0745.65089
Bensoussan, A.; Glowinski, R.; Rǎşcanu, A.
1992
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 mixed finite element formulation for the boundary controllability of the wave equation. Zbl 0711.65084
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1989
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
Fluidization of 1204 spheres: Simulation and experiment. Zbl 1037.76037
Pan, T.-W.; Joseph, D. D.; Bai, R.; Glowinski, R.; Sarin, V.
2002
Controllability methods for the computation of time-periodic solutions; application to scattering. Zbl 0926.65054
Bristeau, M. O.; Glowinski, R.; Périaux, J.
1998
Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068
Ciarlet, P. G.; Glowinski, R.
1975
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
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
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
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
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
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
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
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
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
Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method. Zbl 0706.65100
Glowinski, R.; Le Tallec, P.
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
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
Domain decomposition methods for nonlinear problems in fluid dynamics. Zbl 0505.76068
Glowinski, R.; Dinh, Q. V.; Periaux, J.
1983
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
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
Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205
Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng
2016
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
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
Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Zbl 1173.76431
Pan, Tsorng-Whay; Glowinski, Roland
2005
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
Approximation of the Zakai equation by the splitting up method. Zbl 0726.60040
Bensoussan, A.; Glowinski, R.; Rascanu, A.
1990
Numerical methods for fully nonlinear elliptic equations. Zbl 1179.65146
Glowinski, Roland
2008
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
On the numerical simulation of viscoplastic fluid flow. Zbl 1318.76012
Glowinski, Roland; Wachs, Anthony
2011
On the numerical computation of the minimum-drag profile in laminar flow. Zbl 0323.76024
Glowinski, R.; Pironneau, O.
1975
Sur des méthodes d’optimisation par relaxation. Zbl 0279.90033
Cea, J.; Glowinski, R.
1974
Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. Zbl 0704.65081
Glowinski, R.; Kinton, W.; Wheeler, M. F.
1990
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
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
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
On some finite element methods for the numerical simulation of incompressible viscous flow. Zbl 1189.76336
Dean, Edward J.; Glowinski, Roland
1993
Fluid-particle flow: A symmetric formulation. Zbl 0880.76045
Maury, Bertrand; Glowinski, Roland
1997
On numerical methods for the Stokes problem. Zbl 0415.76024
Glowinski, R.; Pironneau, O.
1979
Numerical methods for the time dependent Navier-Stokes equations for incompressible viscous fluids. Zbl 0612.76033
Glowinski, R.
1983
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 fictitious-domain method with distributed multiplier for the Stokes problem. Zbl 0954.35127
Girault, Vivette; Glowinski, Roland; Pan, T. W.
1999
Operator-splitting methods for the simulation of Bingham visco-plastic flow. Zbl 1002.35100
Dean, E. J.; Glowinski, R.
2002
Distributed Lagrange multipliers methods for particulate flows. Zbl 0919.76077
Glowinski, R.; Hesla, T.; Joseph, D. D.; Pan, T.-W.; Périaux, J.
1997
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
Sur l’approximation, par éléments finis d’ordre 1, et la résolution, par penalisation-dualité, d’une classe de problèmes de Dirichlet non linéaires. Zbl 0287.65055
Glowinski, Roland; Marrocco, Americo
1974
Bilinear optimal control of an advection-reaction-diffusion system. Zbl 1487.49038
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming; Yue, Hangrui
2022
A color elastica model for vector-valued image regularization. Zbl 07430639
Liu, Hao; Tai, Xue-Cheng; Kimmel, Ron; Glowinski, Roland
2021
Overlapping domain decomposition methods for ptychographic imaging. Zbl 1470.94008
Chang, Huibin; Glowinski, Roland; Marchesini, Stefano; Tai, Xue-Cheng; Wang, Yang; Zeng, Tieyong
2021
An ADMM numerical approach to linear parabolic state constrained optimal control problems. Zbl 1436.49042
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming
2020
On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator. Zbl 1460.35183
Glowinski, Roland; Leung, Shingyu; Liu, Hao; Qian, Jianliang
2020
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 finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation. Zbl 1433.35157
Liu, Hao; Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2019
Numerical approximation of orthogonal maps. Zbl 1435.65195
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios; Picasso, Marco
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 simple explicit operator-splitting method for effective Hamiltonians. Zbl 1383.65089
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2018
A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition. Zbl 1406.65100
He, Qiaolin; Glowinski, Roland; Wang, Xiao-Ping
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
Fluid-structure interaction. Modeling, adaptive discretizations and solvers. Zbl 1390.74004
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
2016
Some facts about operator-splitting and alternating direction methods. Zbl 1372.65205
Glowinski, Roland; Pan, Tsorng-Whay; Tai, Xue-Cheng
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
ADMM and non-convex variational problems. Zbl 1372.65192
Glowinski, Roland
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
On the controllability of diffusion processes on a sphere: a numerical study. Zbl 1353.49042
Velasco, D. Assaely León; Glowinski, Roland; Valencia, L. Héctor Juárez
2016
Splitting methods for some nonlinear wave problems. Zbl 1372.65274
Quaini, Annalisa; Glowinski, Roland
2016
Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel. Zbl 07516420
Quaini, A.; Glowinski, R.; Čanić, S.
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 penalization-regularization-operator splitting method for eikonal based traveltime tomography. Zbl 1325.65092
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang
2015
A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation. Zbl 1325.65089
Caboussat, Alexandre; Glowinski, Roland
2015
On the numerical solution of some eikonal equations: an elliptic solver approach. Zbl 1326.65075
Caboussat, Alexandre; Glowinski, Roland; Pan, Tsorng-Whay
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
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
A numerical algorithm for a fully nonlinear PDE involving the Jacobian determinant. Zbl 1328.65234
Caboussat, Alexandre; Glowinski, Roland
2015
Numerical simulation of the motion of inextensible capsules in shear flow under the effect of the natural state. Zbl 1373.76099
Niu, Xiting; Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland
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
On alternating direction methods of multipliers: a historical perspective. Zbl 1320.65098
Glowinski, Roland
2014
A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures. Zbl 1455.76034
Bukač, M.; Čanić, S.; Glowinski, R.; Muha, B.; Quaini, A.
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
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
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
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
A least-squares/fictitious domain method for linear elliptic problems with Robin boundary conditions. Zbl 1364.65218
Glowinski, Roland; He, Qiaolin
2011
Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Zbl 1216.76001
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
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
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 quadratically constrained minimization problem arising from PDE of Monge-Ampère type. Zbl 1187.65073
Sorensen, Danny C.; 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
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
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
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
An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064
Caboussat, A.; Glowinski, R.; Pons, V.
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
Domain decomposition and model reduction of systems with local nonlinearities. Zbl 1157.65445
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C.
2008
Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach. Zbl 1162.76344
Glowinski, Roland; Guidoboni, Giovanna
2008
A controllability approach to shape identification. Zbl 1170.49033
Azencott, R.; Glowinski, R.; Ramos, A. M.
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
Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Zbl 1140.65007
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. II. Numerical experiments. Zbl 1153.65370
Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W.
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
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
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
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 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
...and 233 more Documents
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### Cited by 6,176 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 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 Wang, Song 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 Rassias, Themistocles Michael ...and 6,076 more Authors
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### Cited in 428 Serials

 347 Journal of Computational Physics 330 Computer Methods in Applied Mechanics and Engineering 194 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 88 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. Mathématique. Académie des Sciences, Paris 45 Computational Mechanics 43 Numerical Functional Analysis and Optimization 42 SIAM Journal on Numerical Analysis 42 Mathematical and Computer Modelling 39 Numerical Algorithms 39 Journal of Inequalities and Applications 37 International Journal of Computer Mathematics 35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 SIAM Journal on Optimization 34 Abstract and Applied Analysis 33 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 33 SIAM Journal on Imaging Sciences 31 Mathematical Programming. Series A. Series B 30 RAIRO. Modélisation Mathématique et Analyse Numérique 30 Applications of Mathematics 29 Applied Mathematics and Optimization 29 Applied Mathematical Modelling 29 Advances in Computational Mathematics 28 Calcolo 27 Numerical Methods for Partial Differential Equations 26 Optimization 25 Physics of Fluids 24 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 21 Mathematical Methods in the Applied Sciences 21 Journal of Global Optimization 21 Journal of Mathematical Imaging and Vision 20 Aplikace Matematiky 20 Computational and Applied Mathematics 19 Applicable Analysis 19 Journal of Applied Mathematics 18 International Journal of Engineering Science 18 RAIRO. Analyse Numérique 18 Fixed Point Theory and Applications 18 Journal of Industrial and Management Optimization 18 Optimization Letters 18 Communications in Computational Physics 18 Inverse Problems and Imaging 17 International Journal of Computational Fluid Dynamics 17 European Journal of Mechanics. B. Fluids 17 Journal of the Operations Research Society of China 16 BIT 16 SIAM Journal on Control and Optimization 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 16 Optimization Methods & Software 16 Journal of Numerical Mathematics 16 Journal of Applied Mathematics and Computing 15 Inverse Problems 15 Systems & Control Letters 15 Engineering Analysis with Boundary Elements 15 Archives of Computational Methods in Engineering 14 Mathematics and Computers in Simulation 14 Communications in Nonlinear Science and Numerical Simulation 14 Nonlinear Analysis. 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 328 more Serials
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### Cited in 47 Fields

 2,577 Numerical analysis (65-XX) 1,615 Fluid mechanics (76-XX) 1,254 Partial differential equations (35-XX) 1,057 Calculus of variations and optimal control; optimization (49-XX) 896 Mechanics of deformable solids (74-XX) 707 Operations research, mathematical programming (90-XX) 374 Operator theory (47-XX) 237 Systems theory; control (93-XX) 155 Biology and other natural sciences (92-XX) 136 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) 81 Probability theory and stochastic processes (60-XX) 62 Classical thermodynamics, heat transfer (80-XX) 58 Optics, electromagnetic theory (78-XX) 54 Geophysics (86-XX) 41 Statistics (62-XX) 38 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)

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