13

Journal Publications

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)

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