Feedback

Prof. Jhuma Sen Gupta

Assistant Professor,
Department of Mathematics

A priori and a posteriori error analysis, Discontinuous Petrov Galerkin method, Galerkin and weak Galerkin finite element method, Parabolic Problems, Parabolic interface Problems
Birla Institute of Technology & Science, Pilani
Hyderabad Campus
Jawahar Nagar, Kapra Mandal
Dist.-Medchal-500 078
Telangana, India

Publications

 
 
 

Journal Publications:

1. A posteriori error analysis of two-step backward differentiation formula finite element approximation for parabolic    interface problems, Jhuma Sen Gupta, Rajen K. Sinha, G M. M. Reddy and J. Jain, Journal of Scientific Computing, 69, 406 - 429, 2016.
 
2.  New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems, Jhuma Sen Gupta, Rajen K. Sinha, G M. M. Reddy and J. Jain, Numerical Methods for Partial Differential Equations, 33, 570 - 598, 2017.
 
3. A time-stepping DPG scheme for the heat equation, T. Fuhrer, N. Heuer, Jhuma Sen Gupta, Computational Methods in Applied Mathematics, 17, 237 - 252, 2017.
 
4. A posteriori error analysis of semilinear parabolic interface problems using elliptic reconstruction,  Jhuma Sen Gupta, Rajen K. Sinha, Applicable Analysis, 97(4), 552 - 570, 2018.
 
5. A  posteriori error estimates for lumped mass finite element method for linear parabolic problems using elliptic reconstruction, Jhuma Sen Gupta, Rajen K. Sinha, Numerical Functional Analysis and Optimization, 38 (12), 1527 - 1547, 2017.
 
6. A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: A reconstruction approach, Jhuma Sen Gupta, Rajen K. Sinha, G M. M. Reddy and J. Jain, Journal of Computational and Applied Mathematics, 340, 173 - 190, 2018.
 
7.  A Priori Error Bounds for Parabolic Interface Problems with Measure Data, Jhuma Sen Gupta,  Numerical Analysis and Applications, 16, 259-275 2023.
 
8. On a posteriori error bound for weak Galerkin finite element method for semilinear parabolic problems, Anjali P V, Amit Kumar Pal and Jhuma Sen Gupta,  Journal of the Indian Math. Soc., 91, 388-399, 2024.
 
9. On the stabilizer-free immersed weak Galerkin FEM : A posteriori error estimation in a non-conforming framework, Amit Kumar Pal, Jhuma Sen Gupta, Anjali P V and Rajen Kumar Sinha, accepted for publication in Numerical Methods for Partial Differential Equations, 2026
 
10. Error estimates of the weak Galerkin mixed finite element method for parabolic interface problems, Amit Kumar Pal, Jhuma Sen Gupta and Rajen Kumar Sinha, under review.
 
11. Analysis of stabilizer-free weak Galerkin FEM for elliptic and parabolic interface problems: An a posteriori framework, Jhuma Sen Gupta, Amit Kumar Pal, Anjali P V and Rajen Kumar Sinha, under review.
 
12.  On reliable and efficient error bounds of stabilizer -free weak Galerkin method applied to semilinear parabolic equations, Amit Kumar Pal, Jhuma Sen Gupta and Anjali P V, under review.