# zbMATH — the first resource for mathematics

## Banerjee, Uday

Compute Distance To:
 Author ID: banerjee.uday Published as: Banerjee, U.; Banerjee, Uday Homepage: http://banerjee.syr.edu/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 30 Publications since 1986
all top 5

#### Co-Authors

 5 single-authored 18 Babuška, Ivo 9 Osborn, John E. 6 Zhang, Qinghui 2 Gupta, Varun 2 Kergrene, Kenan 2 Lutoborski, Adam 2 Suri, Manil 1 Anitescu, Cosmin 1 Duarte, C. A. M. 1 Duarte, Carlos Armando 1 Lardy, Lawrence J. 1 Li, Hengguang 1 Li, Qiaoluan
all top 5

#### Serials

 10 Computer Methods in Applied Mechanics and Engineering 8 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

 29 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 8 Mechanics of deformable solids (74-XX) 5 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX)

#### Citations contained in zbMATH

23 Publications have been cited 523 times in 356 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
Estimation of the effect of numerical integration in finite element eigenvalue approximation. Zbl 0693.65071
Banerjee, Uday; Osborn, John E.
1990
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
Meshless and generalized finite element methods: A survey of some major results. Zbl 1012.65119
Babuška, I.; Banerjee, U.; Osborn, J. E.
2002
Effect of numerical integration on meshless methods. Zbl 1229.65204
Babuška, Ivo; Banerjee, Uday; Osborn, John E.; Zhang, Qinghui
2009
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
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
Superconvergence in the generalized finite element method. Zbl 1129.65075
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2007
On the approximability and the selection of particle shape functions. Zbl 1054.65116
Babuška, Ivo; Banerjee, Uday; Osborn, John E.
2004
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday
2016
Higher order stable generalized finite element method. Zbl 1304.65254
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo
2014
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
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
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
Asymptotic expansions of integrals of certain rapidly oscillating functions. Zbl 0627.41024
Banerjee, U.; Lardy, L. J.; Lutoborski, A.
1987
Stable generalized finite element method and associated iterative schemes; application to interface problems. Zbl 1425.74472
Kergrene, Kenan; 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
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 622 Authors

 20 Babuška, Ivo 17 Banerjee, Uday 12 Oh, Hae-Soo 9 Zhang, Qinghui 8 Duarte, C. A. M. 8 Wang, Dongdong 7 Davis, Christopher B. 6 Duarte, Carlos Armando 6 Jeong, Jae Woo 6 Kim, June Gi 6 Natarajan, Sundararajan 6 Nistor, Victor 5 Beirão da Veiga, Lourenço 5 Brezzi, Franco 5 Chen, Jiun-Shyan 5 Jiang, Lijian 5 Li, Hengguang 5 Russo, Alessandro 5 Schweitzer, Marc Alexander 5 Vanmaele, Michèle 4 Anitescu, Cosmin 4 Aragón, Alejandro M. 4 Barros, Felício Bruzzi 4 Belyaev, Alexander G. 4 Bordas, Stéphane Pierre Alain 4 Brenner, Susanne Cecelia 4 Dehghan Takht Fooladi, Mehdi 4 Fayolle, Pierre-Alain 4 Geubelle, Philippe H. 4 Gupta, Varun 4 Hong, Won-Tak 4 Rabczuk, Timon 4 Schaback, Robert 4 Song, Chongmin 4 Sukumar, Natarajan 3 Chatzi, Eleni 3 Duan, Yong 3 Fonseca, Gabriela M. 3 Fries, Thomas-Peter 3 Gervasio, Paola 3 Hon, Yiu-Chung 3 Hou, Yanren 3 Huerta, Antonio 3 Li, Xiaolin 3 Marini, Luisa Donatella 3 Mirzaei, Davoud 3 Ortiz-Bernardin, A. 3 Osborn, John E. 3 Pitangueira, Roque L. S. 3 Quarteroni, Alfio M. 3 Soghrati, Soheil 3 Solov’ëv, Sergeĭ Ivanovich 3 Tian, Rong 3 Tsukerman, Igor 3 Vernerey, Franck J. 3 Wall, Wolfgang A. 3 Zabaras, Nicholas J. 3 Zhao, Jianping 2 Abdalla Filho, João Elias 2 Agathos, Konstantinos 2 Armentano, María Gabriela 2 Bazilevs, Yuri 2 Buscaglia, Gustavo C. 2 Cai, Yongchang 2 Cai, Zhijie 2 Calo, Victor Manuel 2 Chen, Chuanmiao 2 Chen, Huangxin 2 Chevreuil, Mathilde 2 Cueto, Elias 2 de Oliveira, Thaianne S. 2 de Prenter, Frits 2 Deng, Quanling 2 Doblaré, Manuel 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 Guessab, Allal 2 Haq, Sirajul 2 Heinlein, Alexander 2 Hetmaniuk, Ulrich L. 2 Hillman, Michael 2 Hu, Heng 2 Hu, Hongling 2 Karihaloo, Bhushan Lal 2 Kergrene, Kenan 2 Khezri, Mani 2 Kim, Do-Jong 2 Klawonn, Axel 2 Lehoucq, Richard B. 2 Li, Yonghai 2 Lin, Zhenting 2 Lipton, Robert P. 2 Liu, Wing Kam 2 Loehnert, Stefan 2 Lutoborski, Adam ...and 522 more Authors
all top 5

#### Cited in 68 Serials

 84 Computer Methods in Applied Mechanics and Engineering 30 Computational Mechanics 23 Journal of Computational and Applied Mathematics 22 International Journal for Numerical Methods in Engineering 17 Engineering Analysis with Boundary Elements 14 Journal of Computational Physics 12 Applied Numerical Mathematics 10 Numerische Mathematik 9 Computers & Mathematics with Applications 7 Mathematics of Computation 7 Applied Mathematics and Computation 6 Numerical Methods for Partial Differential Equations 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 International Journal of Computational Methods 5 Journal of Scientific Computing 5 Advances in Computational Mathematics 4 Numerical Algorithms 4 SIAM Journal on Scientific Computing 3 BIT 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Applied Mathematical Modelling 3 European Journal of Mechanics. A. Solids 3 Multiscale Modeling & Simulation 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Advances in Mathematical Physics 2 Journal of Approximation Theory 2 Computer Aided Geometric Design 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 Science China. Mathematics 2 Communications on Applied Mathematics and Computation 1 Acta Mechanica 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Calcolo 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Journal of Complexity 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 Advances in Difference Equations 1 International Journal of Fracture 1 Journal of Spectral Theory 1 ISRN Applied Mathematics 1 Journal of Linear and Topological Algebra 1 International Journal of Partial Differential Equations 1 Journal of Siberian Federal University. Mathematics & Physics 1 SMAI Journal of Computational Mathematics 1 Results in Applied Mathematics
all top 5

#### Cited in 28 Fields

 283 Numerical analysis (65-XX) 128 Mechanics of deformable solids (74-XX) 115 Partial differential equations (35-XX) 37 Fluid mechanics (76-XX) 11 Approximations and expansions (41-XX) 10 Ordinary differential equations (34-XX) 10 Optics, electromagnetic theory (78-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Operator theory (47-XX) 6 Integral equations (45-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functional analysis (46-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 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)