## Prigozhin, Leonid B.

Compute Distance To:
 Author ID: prigozhin.leonid-b Published as: Prigozhin, Leonid; Prigozhin, L. B.; Prigozhin, L.; Prigozhin, Leonid B. more...less
 Documents Indexed: 21 Publications since 1981 Co-Authors: 6 Co-Authors with 15 Joint Publications 43 Co-Co-Authors
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### Co-Authors

 6 single-authored 10 Barrett, John William 2 Mochalov, Ivan A. 1 Bulgach, A. A. 1 Kazakevich, Vil’yam V. 1 Zaltzman, Boris 1 Zolotarev, P. P.
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### Serials

 3 Interfaces and Free Boundaries 2 Journal of Computational Physics 2 European Journal of Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Fluid Dynamics 1 IMA Journal of Numerical Analysis 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Physica D 1 Automation and Remote Control 1 Portugaliae Mathematica. Nova Série
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### Fields

 11 Partial differential equations (35-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 4 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

16 Publications have been cited 240 times in 125 Documents Cited by Year
On the Bean critical-state model in superconductivity. Zbl 0873.49007
Prigozhin, L.
1996
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
1996
Bean’s critical-state model as the $$p\rightarrow\infty$$ limit of an evolutionary $$p$$-Laplacian equation. Zbl 1170.82436
Barrett, John W.; Prigozhin, Leonid
2000
A quasi-variational inequality problem in superconductivity. Zbl 1225.35133
Barrett, John W.; Prigozhin, Leonid
2010
Sandpiles and superconductors: Nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities. Zbl 1312.65105
Barrett, John W.; Prigozhin, Leonid
2015
A quasi-variational inequality problem arising in the modeling of growing sandpiles. Zbl 1332.65090
Barrett, John W.; Prigozhin, Leonid
2013
The Bean model in superconductivity: Variational formulation and numerical solution. Zbl 0866.65081
Prigozhin, Leonid
1996
Lakes and rivers in the landscape: a quasi-variational inequality approach. Zbl 1297.35122
Barrett, John W.; Prigozhin, Leonid
2014
A mixed formulation of the Monge-Kantorovich equations. Zbl 1132.35333
Barrett, John W.; Prigozhin, Leonid
2007
Dual formulations in critical state problems. Zbl 1108.35098
Barrett, John W.; Prigozhin, Leonid
2006
Partial $$L^1$$ Monge-Kantorovich problem: variational formulation and numerical approximation. Zbl 1219.35371
Barrett, John W.; Prigozhin, Leonid
2009
Solution of thin film magnetization problems in type-II superconductivity. Zbl 1392.78005
Prigozhin, Leonid
1998
Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity. Zbl 1295.35019
Barrett, John W.; Prigozhin, Leonid
2014
Variational inequalities in critical-state problems. Zbl 1076.82034
Prigozhin, Leonid
2004
On the approximation of the dynamics of sandpile surfaces. Zbl 1206.82098
Prigozhin, Leonid; Zaltzman, Boris
2003
Sandpiles and superconductors: dual variational formulations for critical-state problems. Zbl 1214.49007
Barrett, J. W.; Prigozhin, L.
2006
Sandpiles and superconductors: Nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities. Zbl 1312.65105
Barrett, John W.; Prigozhin, Leonid
2015
Lakes and rivers in the landscape: a quasi-variational inequality approach. Zbl 1297.35122
Barrett, John W.; Prigozhin, Leonid
2014
Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity. Zbl 1295.35019
Barrett, John W.; Prigozhin, Leonid
2014
A quasi-variational inequality problem arising in the modeling of growing sandpiles. Zbl 1332.65090
Barrett, John W.; Prigozhin, Leonid
2013
A quasi-variational inequality problem in superconductivity. Zbl 1225.35133
Barrett, John W.; Prigozhin, Leonid
2010
Partial $$L^1$$ Monge-Kantorovich problem: variational formulation and numerical approximation. Zbl 1219.35371
Barrett, John W.; Prigozhin, Leonid
2009
A mixed formulation of the Monge-Kantorovich equations. Zbl 1132.35333
Barrett, John W.; Prigozhin, Leonid
2007
Dual formulations in critical state problems. Zbl 1108.35098
Barrett, John W.; Prigozhin, Leonid
2006
Sandpiles and superconductors: dual variational formulations for critical-state problems. Zbl 1214.49007
Barrett, J. W.; Prigozhin, L.
2006
Variational inequalities in critical-state problems. Zbl 1076.82034
Prigozhin, Leonid
2004
On the approximation of the dynamics of sandpile surfaces. Zbl 1206.82098
Prigozhin, Leonid; Zaltzman, Boris
2003
Bean’s critical-state model as the $$p\rightarrow\infty$$ limit of an evolutionary $$p$$-Laplacian equation. Zbl 1170.82436
Barrett, John W.; Prigozhin, Leonid
2000
Solution of thin film magnetization problems in type-II superconductivity. Zbl 1392.78005
Prigozhin, Leonid
1998
On the Bean critical-state model in superconductivity. Zbl 0873.49007
Prigozhin, L.
1996
Variational model of sandpile growth. Zbl 0913.73079
Prigozhin, Leonid
1996
The Bean model in superconductivity: Variational formulation and numerical solution. Zbl 0866.65081
Prigozhin, Leonid
1996
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### Cited by 156 Authors

 12 Igbida, Noureddine 11 Rautenberg, Carlos N. 9 Hintermüller, Michael 8 Santos, Lisa 8 Yousept, Irwin 7 Alphonse, Amal 6 Aramaki, Junichi 6 Prigozhin, Leonid B. 5 Crasta, Graziano 5 Khan, Akhtar Ali 5 Rodrigues, José Francisco 5 Slodička, Marián 4 Barrett, John William 4 Malusa, Annalisa 3 Karami, Fahd 3 Miranda, Fernando 3 Sama, Miguel 3 Winckler, Malte 3 Yin, Hongming 2 Antil, Harbir 2 Azevedo, Assis 2 Cardin, Franco 2 Carlier, Guillaume 2 Facca, Enrico 2 Furati, Khaled M. 2 Jochmann, Frank 2 Kashima, Yohei 2 Laforest, Marc 2 Li, Wuchen 2 Lo Giudice, Andrea 2 Motreanu, Dumitru 2 Nguyen, Van Thanh 2 Osher, Stanley Joel 2 Preziosi, Luigi 2 Putti, Mario 2 Siddiqi, Abul Hasan 2 Ta, Thi Nguyet Nga 2 van Bockstal, Karel 2 Wang, Yifu 2 Zheng, Jiashan 1 Adimurthi, A. 1 Aggarwal, Aekta 1 Agueh, Martial 1 Akagi, Goro 1 Albanese, Raffaele 1 Amorim, Paulo 1 Arndt, Rafael 1 Atchonouglo, Kossi 1 Ban, Michael 1 Bartels, Sören 1 Basu, Saurav 1 Benamou, Jean-David 1 Berdiyorov, G. R. 1 Boulton, Lyonell 1 Buša, Ján jun. 1 Caboussat, Alexandre 1 Cabral, L. R. E. 1 Cacace, Simone 1 Caliari, Marco 1 Camilli, Fabio 1 Cannarsa, Piermarco 1 Cardaliaguet, Pierre 1 Chaoufi, Jamal 1 Chen, Tao 1 Chen, Zhiming 1 Choi, Heesun 1 Corrias, Lucilla 1 Croitoru, Anca 1 Daneri, Sara 1 Dehghan Takht Fooladi, Mehdi 1 Dieci, Luca 1 Du, Qiang 1 Dvurechensky, Pavel E. 1 Dweik, Samer 1 Evans, Lawrence Craig 1 Facchinei, Francisco 1 Falcone, Maurizio 1 Feldman, Mikhail 1 Figalli, Alessio 1 Finzi Vita, Stefano 1 Fortune, Danielle 1 Fransos, Davide 1 Gangbo, Wilfrid 1 Gariepy, Ronald F. 1 Gasnikov, Alexander V. 1 Giammanco, G. 1 Giorgieri, Elena 1 Glimm, Tilmann 1 Glowinski, Roland 1 Gokieli, Maria 1 Gorbunov, Eduard 1 Gowda, G. D. Veerappa 1 Grad, Sorin-Mihai 1 Gwinner, Joachim 1 Hadeler, Karl-Peter 1 Henscheid, Nick 1 Huang, Yunqing 1 Jadamba, Baasansuren 1 Janíková, Edita 1 Kang, Tong ...and 56 more Authors
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### Cited in 59 Serials

 10 Journal of Differential Equations 6 Journal of Mathematical Analysis and Applications 5 Journal of Computational Physics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Calculus of Variations and Partial Differential Equations 4 Computers & Mathematics with Applications 4 Journal of Computational and Applied Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Convex Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Archive for Rational Mechanics and Analysis 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Numerical Analysis 3 Journal of Scientific Computing 3 SIAM Journal on Mathematical Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Numerical Functional Analysis and Optimization 2 Physica D 2 Numerical Methods for Partial Differential Equations 2 Journal of Global Optimization 2 Nonlinear Analysis. Real World Applications 2 Set-Valued and Variational Analysis 2 Advances in Nonlinear Analysis 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Kybernetika 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Optimization 1 COMPEL 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Computational Optimization and Applications 1 St. Petersburg Mathematical Journal 1 International Journal of Computer Vision 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 International Journal of Numerical Analysis and Modeling 1 Communications in Mathematical Analysis 1 Asian-European Journal of Mathematics 1 ISRN Applied Mathematics 1 Arabian Journal of Mathematics
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### Cited in 22 Fields

 82 Partial differential equations (35-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 39 Numerical analysis (65-XX) 27 Statistical mechanics, structure of matter (82-XX) 22 Optics, electromagnetic theory (78-XX) 17 Operator theory (47-XX) 10 Mechanics of deformable solids (74-XX) 10 Operations research, mathematical programming (90-XX) 9 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)