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Integrated First Degree

B.E.(Chemical)
B.E.(Civil)
B.E.(Computer Science)
B.E.(Electrical and Electronics)
B.E. (Electronics and Computer )
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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, 2026 (Communicated).

  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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