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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 & Science, Pilani- 333031, Rajasthan. India.

Publications

Published/Accepted

  • 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. 
  • Sangita Yadav, Amiya K Pani and E.-J. Park, Superconvergent Discontinuous Galerkin Methods for Nonlinear Elliptic Equations, Math. Comp., 82 (2013), pp 1297-1335.
  • 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.
  • Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal Error Estimates ff Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data, J. Sci. Comp., 56 (2013), pp 131-164.
  • 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.
  • Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal L2 estimates for semidiscrete Galerkin method applied to parabolic integro-differential equations with nonsmooth data, ANZIAM J., 55(2014), pp 245-266.
  • 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.
  • 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.
  • 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.
  • Riya Jain, Amiya K Pani and Sangita Yadav, HDG method for linear parabolic integro-Differential equations, Appl. Math. Comput., 450(2023), 127987.
  • Sangita Yadav, Meghana Suthar and Sarvesh Kumar, A conforming virtual element method for parabolic integro-differential equations, Comput. Methods Appl. Math., (2023).
  • Riya Jain and Sangita Yadav, HDG Method for Nonlinear Parabolic Integro-Differential Equations, Comput. Methods Appl. Math., (2024).
  • Meghana Suthar, Sangita Yadav and Sarvesh Kumar, Mixed Virtual Element Method for Integro-differential Equations of Parabolic type, J. Comput. Appl. Math., 70(2024), 2827–2856.
  • Meghana Suthar and Sangita Yadav, Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations, IMA J. Numer.Anal., 21(2024), 504-527.

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].