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B.E.(Chemical)
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Sangita Yadav

Associate Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Discontinuous Galerkin Method, Finite Element Methods, Integro-differential Equations, Partial Differential Equations, Virtual Element Method
Department of Mathematics, Birla Institute of Technology and Science, Pilani, Pilani Campus, Vidya Vihar, Pilani, Rajasthan 333031, India.
sangita.yadav@pilani.bits-pilani.ac.in
91-1596-255617
https://www.linkedin.com/in/sangita-yadav-1a999417/

Publications

Published/Accepted

  1. Ankit Kumar, Sangita Yadav and Sarvesh Kumar, SUPG-Stabilized Virtual Element Methods for the Sobolev Equation with Convection-Dominated Term on Polygonal Meshes, J. Sci. Comput. , (Accepted).
  2. Ankit Kumar, Sangita Yadav, Meghana Suthar, Utkarsh Rajput, and Sarvesh Kumar, Analysis of the Virtual Element Methods for The Two-dimensional Linear Strongly Damped Wave Equation With Convection, Int. J. Numer. Anal. Model., (Accepted).
  3. Shipra Gupta, Sangita Yadav and Amiya K. Pani, On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation, J. Numer. Math., (Accepted).
  4. Monika Sangwan, Sangita Yadav and Rajesh Kumar, A Priori Error Analysis of Finite Element Method for Linear Fragmentation Equation, Mathematics and Computers in Simulation, 246(2026). https://doi.org/10.1016/j.matcom.2026.01.019
  5. Shipra Gupta and Sangita Yadav, A Priori Error Estimates for Sobolev Equation using HDG Method, Comp. Appl. Math. 44, 408(2025). https://doi.org/10.1007/s40314-025-03364-y
  6. Meghana Suthar, Ankit Kumar and Sangita Yadav, Mixed Virtual Element Method for a Strongly Damped Wave Equation, J. Sci. Comput. 104, 97(2025). https://doi.org/10.1007/s10915-025-03007-8
  7. Ankit Kumar, Sarvesh Kumar and Sangita Yadav, Convergence Analysis of VEM for the Sobolev Equation with Convection, J. Appl. Math. Comput., 71(2025), 8163–8193. https://doi.org/10.1007/s12190-025-02587-w
  8. Shipra Gupta and Sangita Yadav, Hybridizable Discontinuous Galerkin Method for Strongly Damped Wave Problem, J. Sci. Comput., 102(2025), https://doi.org/10.1007/s10915-024-02762-4
  9. Riya Jain and Sangita Yadav, Hybridizable Discontinuous Galerkin Method for Nonlinear Hyperbolic Integro-differential Equations, Appl. Math. Comput., 498(2025), 129393, https://doi.org/10.1016/j.amc.2025.129393
  10. Bhupendra K. Sharma, Rekha, Sangita Yadav, Bandar Almohsen, Laura M. Pérez, and Ioannis E. Sarris, Entropy generation and heat transfer in nonlinear Buoyancy–driven Darcy–Forchheimer hybrid nanofluids with activation energy, Nanotechnology Reviews, 14, 1(2025), 20250158. https://doi.org/10.1515/ntrev-2025-0158
  11. Riya Jain and Sangita Yadav, Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-differential Equations, Int. J. Numer. Anal. Model. , 22(2025), 202-225. https://doi.org/10.4208/ijnam2025-1010
  12. Meghana Suthar and Sangita Yadav, Two mixed Virtual Element Formulations for Parabolic Integro-differential Equations with Nonsmooth Initial Data, J. Math. Anal. Appl., 543(2025), 128981, https://doi.org/10.1016/j.jmaa.2024.128981
  13. Riya Jain and Sangita Yadav, HDG Method for Nonlinear Parabolic Integro-Differential Equations, Comput. Methods Appl. Math., 25(2025), 115-131, https://doi.org/10.1515/cmam-2023-0060
  14. Meghana Suthar, Sangita Yadav and Sarvesh Kumar, Mixed Virtual Element Method for Integro-differential Equations of Parabolic type, J. Appl. Math. Comput., 70(2024), 2827–2856, https://doi.org/10.1007/s12190-024-02066-8
  15. Meghana Suthar and Sangita Yadav, Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations, Int. J. Numer. Anal. Model., 21(2024), 504-527, https://doi.org/10.4208/ijnam2024-1020
  16. Sangita Yadav, Meghana Suthar and Sarvesh Kumar, A conforming virtual element method for Parabolic Integro-Differential Equations, Comput. Methods Appl. Math., 24(2024) 1001-1019, https://doi.org/10.1515/cmam-2023-0061
  17. Riya Jain, Amiya K Pani and Sangita Yadav, HDG Method for Linear Parabolic Integro-Differential Equations, Appl. Math. Comput., 450(2023), 127987. https://doi.org/10.1016/j.amc.2023.127987
  18. Sangita Yadav, Soumyarani Mishra and Ambit K Pany, Backward Euler Method for 2D Sobolev Equation with Burgers’ type Non-linearity, AIP Conference Proceedings, 2819(2023), https://doi.org/10.1063/5.0141014
  19. Sangita Yadav and Amiya K Pani, Superconvergent Discontinuous Galerkin Methods for Nonlinear Parabolic Initial and Boundary Value Problems, J. Numer. Math., 27 (2019), 183-202, https://doi.org/10.1063/5.0141014
  20. Sangita Yadav and Amiya K Pani, Superconvergence of a class of Expanded Discontinuous Galerkin Methods for Fully Nonlinear Elliptic Problems in Divergence Form, J. Comput. Appl. Math., 333(2018), pp 215-234, https://doi.org/10.1016/j.cam.2017.10.040
  21. Samir Kara, Amiya K. Pani and Sangita Yadav, A Priori hp-Estimates for Discontinuous Galerkin Approximations to Linear Hyperbolic Integro-Differential Equations, Appl. Numer. Math., 96(2015), pp 1-23, https://doi.org/10.1016/j.apnum.2015.04.006
  22. Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal L$^2$ estimates for semidiscrete Galerkin method applied to parabolic integro-differential equations with nonsmooth data, ANZIAM J., 55(2014), pp 245-266, https://doi.org/10.1017/S1446181114000030
  23. Sarvesh Kumar and Sangita Yadav, Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media, International Journal of PDEs, 2014 (2014), pp 1-16, https://doi.org/10.1155/2014/245086
  24. Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data, J. Sci. Comp., 56 (2013), pp 131-164, https://doi.org/10.1007/s10915-012-9666-8
  25. Sangita Yadav, Amiya K. Pani, and Neela Nataraj, Superconvergent Discontinuous Galerkin Methods for Nonselfadjoint and Indefinite Elliptic Problems, J. Sci. Comput., 54 (2013), pp 45-76, https://doi.org/10.1007/s10915-012-9601-z
  26. Sangita Yadav, Amiya K Pani and E.-J. Park, Superconvergent Discontinuous Galerkin Methods for Nonlinear Elliptic Equations, Math. Comp., 82 (2013), pp 1297-1335, https://doi.org/10.1090/S0025-5718-2013-02662-2
  27. Amiya K. Pani and Sangita Yadav, An hp-Local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations, J. Sci. Comput, 46 (2011), pp 71-99, https://doi.org/10.1007/s10915-010-9384-z

Preprints

  • Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal L2-estimates for semidiscrete Galerkin methods for parabolic integro-differential equations with non smooth data", OCCAM preprints [09/38].
  • Amiya K. Pani and Sangita Yadav, An hp-local discontinuous Galerkin method for parabolic integro-di fferential equations", OCCAM preprints [09/30].
  • Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal Error Estimates of a Mixed Finite Element Method for Parabolic Integro-Differential Equations with Non Smooth Initial Data", OCCAM preprints [10/41].

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