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Integrated First Degree

B.E.(Chemical)
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Devika S

Assistant Professor, Gr-I

Department of Mathematics, BITS Pilani KK Birla Goa Campus, Zuarinagar, Goa-403 726
devikas@goa.bits-pilani.ac.in
0832-2580349
https://in.linkedin.com/in/devika-s-97654865

  1. Devika Shylaja. Convergence Analysis of the Hessian Discretisation Method for Fourth Order Semi-linear Elliptic Equations with General Source. Journal of Computational and Applied Mathematics, 492, pp. 118-154, 2027. DOI: 10.1016/j.cam.2026.118154.

  2. Sarvesh Kumar and Devika Shylaja. Nonconforming virtual element method for an incompressible miscible displacement problem in porous media. Computers and Mathematics with Applications, 183, pp. 153-179, 2025. DOI: 10.1016/j.camwa.2025.01.021.

  3. Sarvesh Kumar and Devika Shylaja. Convergence analysis of a nonconforming virtual element method for compressible miscible displacement problems in porous media. Numerical Methods for Partial Differential Equations, 41 (1), pp. e23162, 2025. DOI: https://doi.org/10.1002/num.23162.

  4. Devika Shylaja and Sarvesh Kumar. Morley Type Virtual Element Method for Von Karman Equations. Advances in Computational Mathematics, 50 (5), 94, 31 pp., 2024. DOI: 10.1007/s10444-024-10158-z.
  5. Devika Shylaja. Numerical analysis of optimal control problems governed by fourth order linear elliptic equations using the Hessian discretisation method. Optimal Control Applications and Methods, 45 (5), pp. 2027--2050, 2024. DOI: 10.1002/oca.3135.
  6.  Carsten Carstensen, Neela Nataraj, Gopikrishnan C. Remesan and Devika Shylaja. Unified a priori analysis of four second-order FEM for fourth-order semilinear problems. Numerische Mathematik, 154 (3-4), pp. 323–368, 2023. DOI: 10.1007/s00211-023-01356-w.
  7. Sudipto Chowdhury, Asha K. Dond, Neela Nataraj and Devika Shylaja. A posteriori error estimates for a distributed optimal control problem governed by the von Karman equations. ESAIM: Mathematical Modelling and Numerical Analysis, 56 (5), pp. 1655 - 1686, 2022. DOI: 10.1051/m2an/2022040.
  8. M. Thamban Nair and Devika Shylaja. Conforming and Nonconforming Finite Element Methods for Biharmonic Inverse Source Problem. Inverse Problems, 38 (2), pp. 38, 2022. DOI: 10.1088/1361-6420/ac3ec5.
  9. Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya K. Pani and Devika Shylaja. Morley Finite Element Method for the von K ́arm ́an Obstacle Problem. ESAIM: Mathematical Modelling and Numerical Analysis, 55 (5), pp. 1873-1894, 2021. DOI: 10.1051/m2an/2021042.
  10. Jérôme Droniou, Neela Nataraj and Devika Shylaja. Hessian discretisation method for fourth order semi-linear elliptic equations: applications to the von Karman and Navier–Stokes models. Advances in Computational Mathematics, 47, 20, 2021. DOI: 10.1007/s10444-020-09837-4.
  11. Sudipto Chowdhury, Neela Nataraj and Devika Shylaja. Morley FEM for a distributed optimal control problem governed by the von K ́arm ́an equations. Computational Methods in Applied Mathematics, 21 (1), pp. 233-262, 2021. DOI: 10.1515/cmam-2020-0030.
  12. Devika Shylaja. Improved L^2 and H^1 error estimates for the Hessian discretization method. Numerical Methods for Partial Differential Equations, 36 (5), pp. 972 - 997, 2020. DOI: 10.1002/ num.22460.
  13. Jérôme Droniou, Bishnu. P. Lamichhanne and Devika Shylaja. The Hessian Discretisation Method for Fourth Order Linear Elliptic Equations. Journal of Scientific Computing, 78 (3), pp. 1405-1437, 2019. DOI: 10. 1007/s10915-018-0814-7.
  14. Jérôme Droniou, Neela Nataraj and Devika Shylaja. Numerical analysis for the pure Neumann control problem using the gradient discretisation method. Computational Methods in Applied Mathematics, 18 (4), pp. 609-637, 2018. DOI: 10.1515/cmam-2017-0054.1705.03256.
  15. Jérôme Droniou, Neela Nataraj and Devika Shylaja. The gradient discretisation method for optimal control problems, with super-convergence for non-conforming finite elements and mixed-hybrid mimetic finite differences. SIAM Journal on Control and Optimization, 55 (6), pp. 3640-3672, 2017. DOI: 10.1137/17M1117768.

Devika Shylaja and Sarvesh Kumar. Morley Type Virtual Element Method for Von K ́arm ́an
Equations. Submitted, Advances in Computational Mathematics, 2023.

  1. Devika Shylaja and Sarvesh Kumar. Morley Type Virtual Element Method for Von K ́arm ́an
    Equations. Submitted, Advances in Computational Mathematics, 2023.
  1. Devika Shylaja and Sarvesh Kumar. Morley Type Virtual Element Method for Von K ́arm ́an
    Equations. Submitted, Advances in Computational Mathematics, 2023.
  1. Devika Shylaja and Sarvesh Kumar. Morley Type Virtual Element Method for Von K ́arm ́an
    Equations. Submitted, Advances in Computational Mathematics, 2023.
  1. Devika Shylaja and Sarvesh Kumar. Morley Type Virtual Element Method for Von K ́arm ́an
    Equations. Submitted, Advances in Computational Mathematics, 2023.

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