Edit Profile (opens in new tab) Sinha, Rajen Kumar Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1094.65093Sinha, Rajen Kumar; Deka, Bhupen 34 2005 Finite element methods for semilinear elliptic and parabolic interface problems. Zbl 1172.65064Sinha, Rajen K.; Deka, Bhupen 24 2009 Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 23 2006 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 20 2009 An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K. 19 2004 On the convergence of finite element method for second order elliptic interface problems. Zbl 1093.65105Sinha, Rajen Kumar; Deka, Bhupen 12 2006 Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data. Zbl 1012.65149Pani, A. K.; Sinha, R. K. 11 2000 A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems. Zbl 1168.65417Sinha, Rajen Kumar; Deka, Bhupen 11 2006 An unfitted finite-element method for elliptic and parabolic interface problems. Zbl 1127.65087Sinha, Rajen Kumar; Deka, Bhupen 10 2007 New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems. Zbl 1365.65211Sen Gupta, Jhuma; Kumar Sinha, Rajen; Mohan Reddy, G. Murali; Jain, Jinank 9 2017 Finite element approximations with quadrature for second-order hyperbolic equations. Zbl 1011.65068Sinha, Rajen Kumar 8 2002 Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations. Zbl 1311.65169Reddy, G. Murali Mohan; Sinha, Rajen K. 8 2015 Error estimates for finite volume element methods for convection–diffusion–reaction equations. Zbl 1175.65106Sinha, Rajen K.; Geiser, Jürgen 8 2007 A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic interface problems. Zbl 1410.65377Sen Gupta, Jhuma; Sinha, Rajen K.; Reddy, G. M. M.; Jain, Jinank 8 2016 The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. Zbl 0940.65156Sinha, R. K.; Pani, A. K. 7 1998 Finite element methods for second order linear hyperbolic interface problems. Zbl 1278.65151Deka, Bhupen; Sinha, Rajen Kumar 6 2012 Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106Pani, Amiya Kumar; Sinhar, Rajen Kumar 5 1998 \(L^\infty (L^2)\) and \(L^\infty (H^1)\) norms error estimates in finite element method for linear parabolic interface problems. Zbl 1215.65150Deka, Bhupen; Sinha, Rajen K. 5 2011 Superconvergence of \(H^{1}\)-Galerkin mixed finite element methods for parabolic problems. Zbl 1179.65118Tripathy, Madhusmita; Sinha, Rajen K. 5 2009 On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1347.65199Reddy, G. Murali Mohan; Sinha, Rajen K. 5 2016 On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173Pani, Amiya K.; Sinha, Rajen K. 4 1998 The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. Zbl 1027.65133Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K. 3 2003 The backward Euler anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1349.65477Reddy, Gujji Murali Mohan; Sinha, Rajen Kumar 3 2016 A posteriori error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations. Zbl 1419.65069Reddy, G. Murali Mohan; Sinha, Rajen Kumar; Cuminato, José Alberto 3 2019 A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: a reconstruction approach. Zbl 1432.65146Gupta, Jhuma Sen; Sinha, Rajen Kumar; Reddy, Gujji Murali Mohan; Jain, Jinank 3 2018 Superconvergence of \(H ^{1}\)-Galerkin mixed finite element methods for second-order elliptic equations. Zbl 1253.65173Tripathy, Madhusmita; Sinha, Rajen Kumar 2 2012 A priori and a posteriori error estimates of \(H^{1}\)-Galerkin mixed finite element method for parabolic optimal control problems. Zbl 1386.49042Shakya, Pratibha; Sinha, Rajen Kumar 2 2017 A posteriori error estimates for \(H^1\)-Galerkin mixed finite-element method for parabolic problems. Zbl 1262.65133Tripathy, Madhusmita; Sinha, Rajen Kumar 2 2013 Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data. Zbl 0987.65135Pani, Amiya K.; Sinha, Rajen K. 2 2001 On superconvergence results and negative norm estimates for parabolic integro-differential equations. Zbl 0859.65143Pani, Amiya K.; Sinha, Rajen K. 1 1996 Finite element method for parabolic optimal control problems with a bilinear state equation. Zbl 1464.65127Shakya, Pratibha; Sinha, Rajen Kumar 1 2020 Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data. Zbl 06943494Pramanick, Tamal; Sinha, Rajen Kumar 1 2018 Composite finite element approximation for nonlinear parabolic problems in nonconvex polygonal domains. Zbl 1407.65201Pramanick, Tamal; Sinha, Rajen Kumar 1 2018 A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data. Zbl 1462.65155Shakya, Pratibha; Sinha, Rajen Kumar 1 2019 Finite element method for parabolic optimal control problems with a bilinear state equation. Zbl 1464.65127Shakya, Pratibha; Sinha, Rajen Kumar 1 2020 A posteriori error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations. Zbl 1419.65069Reddy, G. Murali Mohan; Sinha, Rajen Kumar; Cuminato, José Alberto 3 2019 A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data. Zbl 1462.65155Shakya, Pratibha; Sinha, Rajen Kumar 1 2019 A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: a reconstruction approach. Zbl 1432.65146Gupta, Jhuma Sen; Sinha, Rajen Kumar; Reddy, Gujji Murali Mohan; Jain, Jinank 3 2018 Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data. Zbl 06943494Pramanick, Tamal; Sinha, Rajen Kumar 1 2018 Composite finite element approximation for nonlinear parabolic problems in nonconvex polygonal domains. Zbl 1407.65201Pramanick, Tamal; Sinha, Rajen Kumar 1 2018 New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems. Zbl 1365.65211Sen Gupta, Jhuma; Kumar Sinha, Rajen; Mohan Reddy, G. Murali; Jain, Jinank 9 2017 A priori and a posteriori error estimates of \(H^{1}\)-Galerkin mixed finite element method for parabolic optimal control problems. Zbl 1386.49042Shakya, Pratibha; Sinha, Rajen Kumar 2 2017 A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic interface problems. Zbl 1410.65377Sen Gupta, Jhuma; Sinha, Rajen K.; Reddy, G. M. M.; Jain, Jinank 8 2016 On the Crank-Nicolson anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1347.65199Reddy, G. Murali Mohan; Sinha, Rajen K. 5 2016 The backward Euler anisotropic a posteriori error analysis for parabolic integro-differential equations. Zbl 1349.65477Reddy, Gujji Murali Mohan; Sinha, Rajen Kumar 3 2016 Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations. Zbl 1311.65169Reddy, G. Murali Mohan; Sinha, Rajen K. 8 2015 A posteriori error estimates for \(H^1\)-Galerkin mixed finite-element method for parabolic problems. Zbl 1262.65133Tripathy, Madhusmita; Sinha, Rajen Kumar 2 2013 Finite element methods for second order linear hyperbolic interface problems. Zbl 1278.65151Deka, Bhupen; Sinha, Rajen Kumar 6 2012 Superconvergence of \(H ^{1}\)-Galerkin mixed finite element methods for second-order elliptic equations. Zbl 1253.65173Tripathy, Madhusmita; Sinha, Rajen Kumar 2 2012 \(L^\infty (L^2)\) and \(L^\infty (H^1)\) norms error estimates in finite element method for linear parabolic interface problems. Zbl 1215.65150Deka, Bhupen; Sinha, Rajen K. 5 2011 Finite element methods for semilinear elliptic and parabolic interface problems. Zbl 1172.65064Sinha, Rajen K.; Deka, Bhupen 24 2009 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 20 2009 Superconvergence of \(H^{1}\)-Galerkin mixed finite element methods for parabolic problems. Zbl 1179.65118Tripathy, Madhusmita; Sinha, Rajen K. 5 2009 An unfitted finite-element method for elliptic and parabolic interface problems. Zbl 1127.65087Sinha, Rajen Kumar; Deka, Bhupen 10 2007 Error estimates for finite volume element methods for convection–diffusion–reaction equations. Zbl 1175.65106Sinha, Rajen K.; Geiser, Jürgen 8 2007 Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 23 2006 On the convergence of finite element method for second order elliptic interface problems. Zbl 1093.65105Sinha, Rajen Kumar; Deka, Bhupen 12 2006 A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems. Zbl 1168.65417Sinha, Rajen Kumar; Deka, Bhupen 11 2006 Optimal error estimates for linear parabolic problems with discontinuous coefficients. Zbl 1094.65093Sinha, Rajen Kumar; Deka, Bhupen 34 2005 An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K. 19 2004 The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. Zbl 1027.65133Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K. 3 2003 Finite element approximations with quadrature for second-order hyperbolic equations. Zbl 1011.65068Sinha, Rajen Kumar 8 2002 Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data. Zbl 0987.65135Pani, Amiya K.; Sinha, Rajen K. 2 2001 Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data. Zbl 1012.65149Pani, A. K.; Sinha, R. K. 11 2000 The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. Zbl 0940.65156Sinha, R. K.; Pani, A. K. 7 1998 Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106Pani, Amiya Kumar; Sinhar, Rajen Kumar 5 1998 On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173Pani, Amiya K.; Sinha, Rajen K. 4 1998 On superconvergence results and negative norm estimates for parabolic integro-differential equations. Zbl 0859.65143Pani, Amiya K.; Sinha, Rajen K. 1 1996 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year