Assistant Professor
Department of Mathematics, MNIT Jaipur, , Jaipur-302017
pshakya.maths@mnit.ac.in
01411000000

13

Journal Publications

4

Awards & Honours

Ph.D.(Mathematics) from IIT Guwahati(2019)
M.Sc.(Mathematics) from IIT Kanpur(2012)
B.Sc.(PCM) from C. S. J. M. University Kanpur(2010)

Optimal Control Problems, Conforming Finite Element Methods, Discontinuous Galerkin Methods, Mixed FEM, Adaptive method for PDEs.

Assistant Professor at MNIT Jaipur [12 March 2026 - Present].
DST Inspire Faculty Fellow at Indian Institute of Science, Bangalore [15 May 2024 - 06 March 2026].
National Post Doctoral Fellow at Indian Institute of Science, Bangalore [07 March 2022 - 06 March 2024].
Research Associate at IIT Delhi [01 April 2021 - 30 June 2021].
Institute Post Doctoral Fellow at IIT Delhi [01 April 2019 - 31 March 2021].

P. Shakya and K. Porwal, "Adaptive finite element method for an elliptic optimal control problem with integral state constraints" , Communications on Applied Mathematics and Computation (Springer) Volume :8 / / 2026 DOI: https://doi.org/10.1007/s42967-024-00397-8

A. Pal, T. Gudi and P. Shakya,, "A $C^0$-IP method for distributed optimal control problem governed by a non-divergent form PDE with Cordes coefficients" , Mathematics of Computation (American Mathematical Society ) Volume :00 / / 2025 DOI: https://doi.org/10.1090/mcom/4109

P. Shakya, "Error analysis for parabolic optimal control problems with measure data in a nonconvex polygonal domain" , Journal of Computational Mathematics (Global Science Press) Volume :42 / 1579�1604 / 2024 DOI: https://doi.org/0.4208/jcm.2305-m2022-0215
P. Shakya, "Error analysis for the finite element approximations of Dirichlet parabolic boundary control problem with measure data" , Journal of mathematical analysis and applications (Elsevier) Volume :534 / / 2024 DOI: https://doi.org./10.1016/j.jmaa.2024.128109
T. Gudi and P. Shakya,, "Error estimates for a bubble-enriched $C^0$ interior penalty method to a reduced state constrained elliptic optimal control problem" , Journal of Computational and Applied Mathematics (Elsevier) Volume :460 / / 2024 DOI: https://doi.org/10.1016/j.cam.2024.116397

P. Shakya and R. K. Sinha, "Analysis for the space-time a posteriori error estimates for mixed finite element solutions of parabolic optimal control problems" , Numerical Algorithms (Springer ) Volume :96 / 879 - 924 / 2023 DOI: https://doi.org/10.1007/s11075-023-01669-9

K. Porwal and P. Shakya, "A finite element method for an elliptic optimal control problem with integral state constraints" , Applied Numerical Mathematics (Elsevier) Volume :169 / 273-288 / 2021 DOI: https://doi.org/10.1016/j.apnum.2021.07.002
P. Shakya and R. K. Sinha, "Finite element approximations of parabolic optimal control problem with measure data in time" , Applicable Analysis (Taylor and Francis) Volume :100 / 2706-2734 / 2021 DOI: https://doi.org/10.1080/00036811.2019.1698722

P. Shakya and R. K. Sinha, "Finite element method for parabolic optimal control problems with a bilinear state equation" , Journal of Computational and Applied Mathematics (Elsevier) Volume :367 / 112-431 / 2020 DOI: https://doi.org/10.1016/j.cam.2019.112431
P. Shakya and R. K. Sinha, "A priori error estimates for finite element discretizations of parabolic optimal control problems with measure data" , Numerical Functional Analysis and Optimization (Taylor & Francis) Volume :41 / 158-191 / 2020 DOI: https://doi.org/10.1080/01630563.2019.1615948

P. Shakya and R. K. Sinha, "A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data" , Applied Numerical Mathematics (Elsevier) Volume :136 / 23-45 / 2019 DOI: https://doi.org/10.1016/j.apnum.2018.09.015
P. Shakya and R. K. Sinha, "A priori and a posteriori error estimates of finite element approximations for elliptic optimal control problem with measure data" , Optimal Control Applications and Methods (John Wiley and Sons Ltd) Volume :40 / 241-264 / 2019 DOI: https://doi.org/10.1002/oca.2476

P. Shakya and R. K. Sinha, "A priori and a posteriori error estimates of $H^1$-Galerkin mixed finite element method for parabolic optimal control problems" , Optimal Control Applications and Methods (John Wiley and Sons Ltd) Volume :38 / 1056-1070 / 2017 DOI: https://doi.org/10.1002/oca.2312

DST INSPIRE Faculty Fellowship (2024�2029), for given by Department of Science and Technology (DST), Government of India Year - 2024
National Post-Doctoral Fellowship for given by Department of Science and Technology (DST), Government of India Year - 2021
Institute Post-Doctoral Fellowship for given by IIT Delhi Year - 2019
Merit-Cum-Means Scholarship (Under top 50 rank in Joint admission test for M.Sc) for given by IIT Kanpur Year - 2010