## Sinha, Rajen Kumar

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 Author ID: sinha.rajen-kumar Published as: Sinha, Rajen Kumar; Sinha, Rajen K.; Sinha, R. K.; Sinhar, Rajen Kumar; Kumar Sinha, Rajen External Links: MGP
 Documents Indexed: 55 Publications since 1995 Co-Authors: 17 Co-Authors with 51 Joint Publications 337 Co-Co-Authors
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### Co-Authors

 1 single-authored 9 Pani, Amiya Kumar 7 Deka, Bhupen 7 Reddy, Gujji Murali Mohan 6 Shakya, Pratibha 5 Manohar, Ram P. 5 Sen Gupta, Jhuma 4 Pramanick, Tamal 4 Tripathy, Madhusmita 3 Jain, Jinank 2 Ewing, Richard Edward 2 Lazarov, Raytcho D. 2 Mahata, Shantiram 2 Ray, Tanushree 1 Chung, Sang Kwon 1 Cuminato, José Alberto 1 De, Simanta 1 Geiser, Jürgen 1 Gopmandal, Partha P. 1 Islam, Sabina 1 Kumar, Alok 1 Kumar, Binod 1 Madan, V. K. 1 Otta, Ajaya K. 1 Yadava, K. N. S.
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### Serials

 7 Numerical Functional Analysis and Optimization 5 Applied Numerical Mathematics 5 Journal of Scientific Computing 4 Applicable Analysis 4 Numerical Methods for Partial Differential Equations 4 Journal of Integral Equations and Applications 3 Calcolo 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 Optimal Control Applications & Methods 2 IMA Journal of Numerical Analysis 1 Computers & Mathematics with Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 The Aligarh Journal of Statistics 1 Applied Mathematical Modelling 1 Computational Statistics and Data Analysis 1 Computational and Applied Mathematics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 International Journal of Numerical Analysis and Modeling
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### Fields

 50 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 11 Integral equations (45-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 267 times in 159 Documents Cited by Year
Optimal error estimates for linear parabolic problems with discontinuous coefficients. Zbl 1094.65093
Sinha, Rajen Kumar; Deka, Bhupen
2005
Finite element methods for semilinear elliptic and parabolic interface problems. Zbl 1172.65064
Sinha, Rajen K.; Deka, Bhupen
2009
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
2006
Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
2009
An $$H^1$$-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
2004
On the convergence of finite element method for second order elliptic interface problems. Zbl 1093.65105
Sinha, Rajen Kumar; Deka, Bhupen
2006
Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data. Zbl 1012.65149
Pani, A. K.; Sinha, R. K.
2000
A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems. Zbl 1168.65417
Sinha, Rajen Kumar; Deka, Bhupen
2006
An unfitted finite-element method for elliptic and parabolic interface problems. Zbl 1127.65087
Sinha, Rajen Kumar; Deka, Bhupen
2007
New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems. Zbl 1365.65211
Sen Gupta, Jhuma; Kumar Sinha, Rajen; Mohan Reddy, G. Murali; Jain, Jinank
2017
Finite element approximations with quadrature for second-order hyperbolic equations. Zbl 1011.65068
Sinha, Rajen Kumar
2002
Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations. Zbl 1311.65169
Reddy, G. Murali Mohan; Sinha, Rajen K.
2015
Error estimates for finite volume element methods for convection–diffusion–reaction equations. Zbl 1175.65106
Sinha, Rajen K.; Geiser, Jürgen
2007
A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic interface problems. Zbl 1410.65377
Sen Gupta, Jhuma; Sinha, Rajen K.; Reddy, G. M. M.; Jain, Jinank
2016
The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. Zbl 0940.65156
Sinha, R. K.; Pani, A. K.
1998
Finite element methods for second order linear hyperbolic interface problems. Zbl 1278.65151
Deka, Bhupen; Sinha, Rajen Kumar
2012
Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106
Pani, Amiya Kumar; Sinhar, Rajen Kumar
1998
$$L^\infty (L^2)$$ and $$L^\infty (H^1)$$ norms error estimates in finite element method for linear parabolic interface problems. Zbl 1215.65150
Deka, Bhupen; Sinha, Rajen K.
2011
Superconvergence of $$H^{1}$$-Galerkin mixed finite element methods for parabolic problems. Zbl 1179.65118
2009
On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1347.65199
Reddy, G. Murali Mohan; Sinha, Rajen K.
2016
On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173
Pani, Amiya K.; Sinha, Rajen K.
1998
The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. Zbl 1027.65133
Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K.
2003
The backward Euler anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1349.65477
Reddy, Gujji Murali Mohan; Sinha, Rajen Kumar
2016
A posteriori error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations. Zbl 1419.65069
Reddy, G. Murali Mohan; Sinha, Rajen Kumar; Cuminato, José Alberto
2019
A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: a reconstruction approach. Zbl 1432.65146
Gupta, Jhuma Sen; Sinha, Rajen Kumar; Reddy, Gujji Murali Mohan; Jain, Jinank
2018
Superconvergence of $$H ^{1}$$-Galerkin mixed finite element methods for second-order elliptic equations. Zbl 1253.65173
2012
A priori and a posteriori error estimates of $$H^{1}$$-Galerkin mixed finite element method for parabolic optimal control problems. Zbl 1386.49042
Shakya, Pratibha; Sinha, Rajen Kumar
2017
A posteriori error estimates for $$H^1$$-Galerkin mixed finite-element method for parabolic problems. Zbl 1262.65133
2013
Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data. Zbl 0987.65135
Pani, Amiya K.; Sinha, Rajen K.
2001
On superconvergence results and negative norm estimates for parabolic integro-differential equations. Zbl 0859.65143
Pani, Amiya K.; Sinha, Rajen K.
1996
Finite element method for parabolic optimal control problems with a bilinear state equation. Zbl 1464.65127
Shakya, Pratibha; Sinha, Rajen Kumar
2020
Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data. Zbl 06943494
Pramanick, Tamal; Sinha, Rajen Kumar
2018
Composite finite element approximation for nonlinear parabolic problems in nonconvex polygonal domains. Zbl 1407.65201
Pramanick, Tamal; Sinha, Rajen Kumar
2018
A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data. Zbl 1462.65155
Shakya, Pratibha; Sinha, Rajen Kumar
2019
Finite element method for parabolic optimal control problems with a bilinear state equation. Zbl 1464.65127
Shakya, Pratibha; Sinha, Rajen Kumar
2020
A posteriori error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations. Zbl 1419.65069
Reddy, G. Murali Mohan; Sinha, Rajen Kumar; Cuminato, José Alberto
2019
A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data. Zbl 1462.65155
Shakya, Pratibha; Sinha, Rajen Kumar
2019
A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: a reconstruction approach. Zbl 1432.65146
Gupta, Jhuma Sen; Sinha, Rajen Kumar; Reddy, Gujji Murali Mohan; Jain, Jinank
2018
Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data. Zbl 06943494
Pramanick, Tamal; Sinha, Rajen Kumar
2018
Composite finite element approximation for nonlinear parabolic problems in nonconvex polygonal domains. Zbl 1407.65201
Pramanick, Tamal; Sinha, Rajen Kumar
2018
New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems. Zbl 1365.65211
Sen Gupta, Jhuma; Kumar Sinha, Rajen; Mohan Reddy, G. Murali; Jain, Jinank
2017
A priori and a posteriori error estimates of $$H^{1}$$-Galerkin mixed finite element method for parabolic optimal control problems. Zbl 1386.49042
Shakya, Pratibha; Sinha, Rajen Kumar
2017
A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic interface problems. Zbl 1410.65377
Sen Gupta, Jhuma; Sinha, Rajen K.; Reddy, G. M. M.; Jain, Jinank
2016
On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1347.65199
Reddy, G. Murali Mohan; Sinha, Rajen K.
2016
The backward Euler anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1349.65477
Reddy, Gujji Murali Mohan; Sinha, Rajen Kumar
2016
Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations. Zbl 1311.65169
Reddy, G. Murali Mohan; Sinha, Rajen K.
2015
A posteriori error estimates for $$H^1$$-Galerkin mixed finite-element method for parabolic problems. Zbl 1262.65133
2013
Finite element methods for second order linear hyperbolic interface problems. Zbl 1278.65151
Deka, Bhupen; Sinha, Rajen Kumar
2012
Superconvergence of $$H ^{1}$$-Galerkin mixed finite element methods for second-order elliptic equations. Zbl 1253.65173
2012
$$L^\infty (L^2)$$ and $$L^\infty (H^1)$$ norms error estimates in finite element method for linear parabolic interface problems. Zbl 1215.65150
Deka, Bhupen; Sinha, Rajen K.
2011
Finite element methods for semilinear elliptic and parabolic interface problems. Zbl 1172.65064
Sinha, Rajen K.; Deka, Bhupen
2009
Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
2009
Superconvergence of $$H^{1}$$-Galerkin mixed finite element methods for parabolic problems. Zbl 1179.65118
2009
An unfitted finite-element method for elliptic and parabolic interface problems. Zbl 1127.65087
Sinha, Rajen Kumar; Deka, Bhupen
2007
Error estimates for finite volume element methods for convection–diffusion–reaction equations. Zbl 1175.65106
Sinha, Rajen K.; Geiser, Jürgen
2007
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121
Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D.
2006
On the convergence of finite element method for second order elliptic interface problems. Zbl 1093.65105
Sinha, Rajen Kumar; Deka, Bhupen
2006
A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems. Zbl 1168.65417
Sinha, Rajen Kumar; Deka, Bhupen
2006
Optimal error estimates for linear parabolic problems with discontinuous coefficients. Zbl 1094.65093
Sinha, Rajen Kumar; Deka, Bhupen
2005
An $$H^1$$-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
2004
The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. Zbl 1027.65133
Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K.
2003
Finite element approximations with quadrature for second-order hyperbolic equations. Zbl 1011.65068
Sinha, Rajen Kumar
2002
Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data. Zbl 0987.65135
Pani, Amiya K.; Sinha, Rajen K.
2001
Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data. Zbl 1012.65149
Pani, A. K.; Sinha, R. K.
2000
The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. Zbl 0940.65156
Sinha, R. K.; Pani, A. K.
1998
Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106
Pani, Amiya Kumar; Sinhar, Rajen Kumar
1998
On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173
Pani, Amiya K.; Sinha, Rajen K.
1998
On superconvergence results and negative norm estimates for parabolic integro-differential equations. Zbl 0859.65143
Pani, Amiya K.; Sinha, Rajen K.
1996
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### Cited by 206 Authors

 19 Sinha, Rajen Kumar 13 Deka, Bhupen 13 Pani, Amiya Kumar 9 Shi, Dongyang 8 Ferreira, José Augusto 8 Li, Hong 8 Liu, Yang 6 Reddy, Gujji Murali Mohan 6 Zhao, Shan 6 Zhou, Zhaojie 5 Adewole, Matthew Olayiwola 5 Wang, Junjun 5 Yadav, Sangita 4 Wang, Jinfeng 3 Ahmed, Tazuddin 3 Barbeiro, Sílvia 3 Chen, Fengxin 3 Chen, Huanzhen 3 Gan, Xiaoting 3 Gao, Wei 3 Goswami, Deepjyoti 3 He, Siriguleng 3 Karaa, Samir 3 Li, Chuan 3 Sen Gupta, Jhuma 3 Tang, Qili 3 Yan, Fengna 3 Yang, Chaoxia 3 Yang, Min 3 Yu, Xijun 2 Aksoylu, Burak 2 Albright, Jason 2 An, Na 2 Bahaj, Mohamed 2 Bardeji, Somayeh Gh. 2 Dai, Weizhong 2 Du, Yanwei 2 Dutta, Jogen 2 Epshteyn, Yekaterina 2 Fang, Zhichao 2 Guan, Hongbo 2 Huang, Chaobao 2 Jain, Jinank 2 Liao, Xin 2 Patel, Ajit 2 Pena, Gonçalo 2 Pinto, Linu 2 Pinto, Luís F. 2 Pramanick, Tamal 2 Rachid, Anas 2 Ray, Tanushree 2 Romanazzi, Giuseppe 2 Sharma, Kapil Kumar 2 Sharma, Nisha Kumari 2 Song, Lunji 2 Sun, Tongjun 2 Wang, Wansheng 2 Wei, Zhihan 2 Xu, Qiang 2 Yin, Junfeng 2 Zhu, Ailing 1 Acharya, Sanjib Kumar 1 Adak, Dibyendu 1 Adjerid, Slimane 1 Al-Khaled, Kamel M. 1 Ashlyn, Stacy 1 Awasthi, Ashish 1 Barbone, Paul E. 1 Bi, Chunjia 1 Biswas, Pankaj 1 Bora, Aniruddha 1 Cai, Mingchao 1 Campbell, Cameron 1 Cao, Yang 1 Cefalo, Massimo 1 Chabaud, Brandon M. 1 Chai, Shimin 1 Che, Haitao 1 Chen, Hongbin 1 Chen, Luoping 1 Chen, Yanping 1 Cheng, Aijie 1 Chung, Sang Kwon 1 Cimrák, Ivan 1 Cockburn, Bernardo 1 Cuminato, José Alberto 1 Danaila, Ionut 1 Dehghan Takht Fooladi, Mehdi 1 Deka, Ram Charan 1 Dell’Acqua, Guido 1 Fakhar, Rachid 1 Feng, Hongsong 1 Gerritsma, Marc I. 1 Gharibi, Zeinab 1 Givoli, Dan 1 Guo, Hui 1 Hajji, Mohamed Ali 1 Holst, Michael J. 1 Hong, Qingguo 1 Hou, Tianliang ...and 106 more Authors
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### Cited in 53 Serials

 16 Computers & Mathematics with Applications 16 Applied Mathematics and Computation 16 Applied Numerical Mathematics 14 Numerical Methods for Partial Differential Equations 10 Journal of Scientific Computing 7 Journal of Computational and Applied Mathematics 7 Numerical Functional Analysis and Optimization 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics and Computing 2 Applicable Analysis 2 Mathematics of Computation 2 BIT 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 Advances in Applied Mathematics and Mechanics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Electronic Research Archive 1 Transport Theory and Statistical Physics 1 Chaos, Solitons and Fractals 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Turkish Journal of Mathematics 1 Complexity 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations
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### Cited in 17 Fields

 153 Numerical analysis (65-XX) 96 Partial differential equations (35-XX) 32 Integral equations (45-XX) 14 Fluid mechanics (76-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)