## Banerjee, Uday

Compute Distance To:
 Author ID: banerjee.uday Published as: Banerjee, Uday; Banerjee, U. Homepage: http://banerjee.syr.edu/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 32 Publications since 1986 Co-Authors: 13 Co-Authors with 27 Joint Publications 330 Co-Co-Authors
all top 5

### Co-Authors

 5 single-authored 20 Babuška, Ivo 9 Osborn, John E. 8 Zhang, Qinghui 2 Cui, Cu 2 Duarte, Carlos Armando 2 Gupta, Varun 2 Kergrene, Kenan 2 Lutoborski, Adam 2 Suri, Manil 1 Anitescu, Cosmin 1 Lardy, Lawrence J. 1 Li, Hengguang 1 Li, Qiaoluan
all top 5

### Serials

 11 Computer Methods in Applied Mechanics and Engineering 9 Numerische Mathematik 2 Mathematics of Computation 2 Advances in Computational Mathematics 1 BIT 1 International Journal for Numerical Methods in Engineering 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 International Journal of Applied Mathematics 1 International Journal of Computational Methods 1 Acta Numerica

### Fields

 31 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 700 times in 426 Documents Cited by Year
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2003
Stable generalized finite element method (SGFEM). Zbl 1239.74093
Babuška, I.; Banerjee, U.
2012
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics. Zbl 1286.74102
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
2013
Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics. Zbl 1423.74886
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
2015
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
2009
Estimation of the effect of numerical integration in finite element eigenvalue approximation. Zbl 0693.65071
Banerjee, Uday; Osborn, John E.
1990
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday
2016
Meshless and generalized finite element methods: A survey of some major results. Zbl 1012.65119
Babuška, I.; Banerjee, U.; Osborn, J. E.
2002
Quadrature for meshless methods. Zbl 1195.65165
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Li, Qiaoluan
2008
On principles for the selection of shape functions for the generalized finite element method. Zbl 1016.65052
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2002
Higher order stable generalized finite element method. Zbl 1304.65254
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2014
Superconvergence in the generalized finite element method. Zbl 1129.65075
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2007
Strongly stable generalized finite element method: application to interface problems. Zbl 1439.74385
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan
2017
On the approximability and the selection of particle shape functions. Zbl 1054.65116
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities. Zbl 1439.74479
Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday
2016
A note on the effect of numerical quadrature in finite element eigenvalue approximation. Zbl 0748.65078
Banerjee, Uday
1992
The effect of numerical quadrature in the $$p$$-version of the finite element method. Zbl 0757.65110
Banerjee, Uday; Suri, Manil
1992
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. Zbl 1440.74454
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2019
The effect of numerical integration on the finite element approximation of linear functionals. Zbl 1210.65188
Babuška, Ivo; Banerjee, Uday; Li, Hengguang
2011
Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients. Zbl 1254.65124
Zhang, Qinghui; Banerjee, Uday
2012
Analysis of numerical integration in $$p$$-version finite element eigenvalue approximation. Zbl 0761.65078
Banerjee, Uday; Suri, Manil
1992
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm. Zbl 1436.74079
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2020
Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients. Zbl 0613.65087
Banerjee, U.
1987
Approximation of the solution of a fourth order boundary value problem with nonsmooth coefficient. Zbl 0583.65053
Banerjee, U.; Lutoborski, A.
1986
Approximation of eigenvalues of differential equations with non-smooth coefficients. Zbl 0639.65051
Banerjee, Uday
1988
Approximation properties of the generalized finite element method. Zbl 1217.65207
Anitescu, C.; Banerjee, U.
2011
Asymptotic expansions of integrals of certain rapidly oscillating functions. Zbl 0627.41024
Banerjee, U.; Lardy, L. J.; Lutoborski, A.
1987
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm. Zbl 1436.74079
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2020
Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. Zbl 1440.74454
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2019
Strongly stable generalized finite element method: application to interface problems. Zbl 1439.74385
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan
2017
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday
2016
Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities. Zbl 1439.74479
Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday
2016
Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics. Zbl 1423.74886
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
2015
Higher order stable generalized finite element method. Zbl 1304.65254
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2014
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics. Zbl 1286.74102
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U.
2013
Stable generalized finite element method (SGFEM). Zbl 1239.74093
Babuška, I.; Banerjee, U.
2012
Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients. Zbl 1254.65124
Zhang, Qinghui; Banerjee, Uday
2012
The effect of numerical integration on the finite element approximation of linear functionals. Zbl 1210.65188
Babuška, Ivo; Banerjee, Uday; Li, Hengguang
2011
Approximation properties of the generalized finite element method. Zbl 1217.65207
Anitescu, C.; Banerjee, U.
2011
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
2009
Quadrature for meshless methods. Zbl 1195.65165
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Li, Qiaoluan
2008
Superconvergence in the generalized finite element method. Zbl 1129.65075
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2007
Generalized finite element methods – main ideas, results and perspective. Zbl 1081.65107
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
On the approximability and the selection of particle shape functions. Zbl 1054.65116
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
Survey of meshless and generalized finite element methods: A unified approach. Zbl 1048.65105
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2003
Meshless and generalized finite element methods: A survey of some major results. Zbl 1012.65119
Babuška, I.; Banerjee, U.; Osborn, J. E.
2002
On principles for the selection of shape functions for the generalized finite element method. Zbl 1016.65052
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2002
A note on the effect of numerical quadrature in finite element eigenvalue approximation. Zbl 0748.65078
Banerjee, Uday
1992
The effect of numerical quadrature in the $$p$$-version of the finite element method. Zbl 0757.65110
Banerjee, Uday; Suri, Manil
1992
Analysis of numerical integration in $$p$$-version finite element eigenvalue approximation. Zbl 0761.65078
Banerjee, Uday; Suri, Manil
1992
Estimation of the effect of numerical integration in finite element eigenvalue approximation. Zbl 0693.65071
Banerjee, Uday; Osborn, John E.
1990
Approximation of eigenvalues of differential equations with non-smooth coefficients. Zbl 0639.65051
Banerjee, Uday
1988
Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients. Zbl 0613.65087
Banerjee, U.
1987
Asymptotic expansions of integrals of certain rapidly oscillating functions. Zbl 0627.41024
Banerjee, U.; Lardy, L. J.; Lutoborski, A.
1987
Approximation of the solution of a fourth order boundary value problem with nonsmooth coefficient. Zbl 0583.65053
Banerjee, U.; Lutoborski, A.
1986
all top 5

### Cited by 679 Authors

 21 Babuška, Ivo 18 Banerjee, Uday 13 Oh, Hae-Soo 12 Zhang, Qinghui 11 Wang, Dongdong 9 Duarte, Carlos Armando 7 Davis, Christopher B. 7 Jeong, Jae Woo 6 Aragón, Alejandro M. 6 Jiang, Lijian 6 Kim, June Gi 6 Natarajan, Sundararajan 6 Nistor, Victor 5 Barros, Felício Bruzzi 5 Beirão da Veiga, Lourenço 5 Bordas, Stéphane Pierre Alain 5 Brezzi, Franco 5 Chen, Jiun-Shyan 5 Li, Hengguang 5 Machado, Roberto Dalledone 5 Marini, Luisa Donatella 5 Russo, Alessandro 5 Schaback, Robert 5 Schweitzer, Marc Alexander 5 Sukumar, Natarajan 5 Vanmaele, Michèle 5 Wu, Junchao 4 Anitescu, Cosmin 4 Arndt, Marcos 4 Belyaev, Alexander G. 4 Brenner, Susanne Cecelia 4 Chatzi, Eleni 4 Dehghan Takht Fooladi, Mehdi 4 Deng, Quanling 4 Fayolle, Pierre-Alain 4 Fonseca, Gabriela Marinho 4 Geubelle, Philippe H. 4 Gupta, Varun 4 Hong, Won-Tak 4 Li, Xiaolin 4 Nili-Ahmadabadi, Mahdi 4 Rabczuk, Timon 4 Song, Chongmin 4 Tian, Rong 4 Zhao, Jianping 3 Agathos, Konstantinos 3 Cai, Yongchang 3 Chen, Yuan 3 Coatléven, Julien 3 Cui, Cu 3 Fries, Thomas-Peter 3 Gervasio, Paola 3 Hon, Yiu-Chung 3 Hou, Yanren 3 Huerta, Antonio 3 Löhnert, Stefan 3 Ma, Lingling 3 Mirzaei, Davoud 3 Novelli, Larissa 3 Ortiz-Bernardin, A. 3 Osborn, John E. 3 Pitangueira, Roque L. S. 3 Proença, Sergio Persival Baroncini 3 Quarteroni, Alfio M. 3 Sanchez-Rivadeneira, A. G. 3 Sande, Espen 3 Soghrati, Soheil 3 Solov’ëv, Sergeĭ Ivanovich 3 Tsukerman, Igor 3 van den Boom, Sanne J. 3 Vernerey, Franck J. 3 Wall, Wolfgang A. 3 Xie, Xiaoping 3 Zabaras, Nicholas J. 2 Abdalla Filho, João Elias 2 Armentano, María Gabriela 2 Asgari, Morteza 2 Bazilevs, Yuri 2 Buscaglia, Gustavo Carlos 2 Cai, Zhijie 2 Calo, Victor Manuel 2 Chen, Chuanmiao 2 Chen, Huangxin 2 Chen, Jinru 2 Chen, Xingding 2 Chen, Yanping 2 Chevreuil, Mathilde 2 de Oliveira, Thaianne S. 2 de Prenter, Frits 2 Duan, Yong 2 Durga Rao, S. S. 2 Düster, Alexander 2 Eason, Thomas 2 Efendiev, Yalchin R. 2 Fernández-Méndez, Sonia 2 Foucard, Louis C. 2 Ganapathysubramanian, Baskar 2 Ghosh, Somnath 2 Gimperlein, Heiko 2 Ginting, Victor ...and 579 more Authors
all top 5

### Cited in 78 Serials

 104 Computer Methods in Applied Mechanics and Engineering 35 Computational Mechanics 22 International Journal for Numerical Methods in Engineering 22 Journal of Computational and Applied Mathematics 22 Engineering Analysis with Boundary Elements 18 Journal of Computational Physics 14 Applied Numerical Mathematics 13 Numerische Mathematik 11 Computers & Mathematics with Applications 7 Mathematics of Computation 7 Applied Mathematics and Computation 7 Journal of Scientific Computing 7 International Journal of Computational Methods 6 Numerical Methods for Partial Differential Equations 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Advances in Computational Mathematics 5 Numerical Algorithms 5 European Journal of Mechanics. A. Solids 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Communications in Computational Physics 4 Applied Mathematical Modelling 3 BIT 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 International Journal of Computer Mathematics 3 Multiscale Modeling & Simulation 3 Advances in Mathematical Physics 3 Advances in Applied Mathematics and Mechanics 3 Science China. Mathematics 2 Acta Mechanica 2 Journal of Approximation Theory 2 Mathematics and Computers in Simulation 2 Computer Aided Geometric Design 2 SIAM Journal on Scientific Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Engineering Computations 2 Lobachevskii Journal of Mathematics 2 Computational Methods in Applied Mathematics 2 Advances in Difference Equations 2 Communications on Applied Mathematics and Computation 1 Computers and Fluids 1 Fluid Dynamics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Calcolo 1 SIAM Journal on Numerical Analysis 1 Journal of Complexity 1 Applied Mathematics Letters 1 Science in China. Series A 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Linear Algebra and its Applications 1 Archive of Applied Mechanics 1 Cybernetics and Systems Analysis 1 Experimental Mathematics 1 Computational Optimization and Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Differential Equations 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Fracture 1 Asian-European Journal of Mathematics 1 Journal of Spectral Theory 1 Journal of Mathematical Extension 1 ISRN Applied Mathematics 1 Journal of Linear and Topological Algebra 1 International Journal of Partial Differential Equations 1 Computational Methods for Differential Equations 1 International Journal of Applied and Computational Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics 1 SMAI Journal of Computational Mathematics 1 Results in Applied Mathematics
all top 5

### Cited in 32 Fields

 342 Numerical analysis (65-XX) 156 Mechanics of deformable solids (74-XX) 132 Partial differential equations (35-XX) 51 Fluid mechanics (76-XX) 14 Approximations and expansions (41-XX) 12 Optics, electromagnetic theory (78-XX) 10 Integral equations (45-XX) 9 Ordinary differential equations (34-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX)