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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

Submitted for publications:

1. A posteriori error estimation of finite element approximations to parabolic boundary control problems (with R Manohar and R. K. Sinha); under review
 
2.  On a posteriori error bounds for Weak Galerkin finite element method for semilinear parabolic problems (with Anjali P V); under review
 
 
 

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, accepted for publication in Numerical Analysis and Applications, 2022.