Publications




I appreciate the time and consideration of the valued readers of my scientific expositions. In the case of ideas or results from my articles are used, kindly provide appropriate citations in the format attached with each entry.



  1. Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems
    Carsten Carstensen, Neela Nataraj, Gopikrishnan Chirappurathu Remesan, Devika Shylaja, Numerische Mathematik, 154(1), 2023. [Cite]
    URL: https://link.springer.com/article/10.1007/s00211-023-01356-w
  2. Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour
    Gopikrishnan Chirappurathu Remesan, Jennifer Flegg, Helen Byrne, Journal of Mathematical Biology, 86(1), 2022. [Cite]
    URL: https://link.springer.com/article/10.1007/s00285-022-01851-y
  3. Convergence analysis of a numerical scheme for a tumour growth model.
    J. Droniou, N. Nataraj, and G. C. Remesan., IMA Journal of Numerical Analysis, 42(2), 2022. [Cite]
    URL: https://doi.org/10.1093/imanum/drab016
  4. Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws.
    Gopikrishnan Chirappurathu Remesan, ESAIM: Mathematical Modelling and Aanalysis, 55(4), 2021. [Cite]
    URL: https://www.esaim-m2an.org/articles/m2an/abs/2021/05/m2an200189/m2an200189.html
  5. Numerical solution of a two dimensional tumour growth model with moving boundary.
    J. Droniou, J. Flegg, and G. C. Remesan., Journal of Scientific Computing, 85(20), 2020. [Cite]
    URL: https://link.springer.com/article/10.1007/s10915-020-01326-6


  1. Numerical solution of the two-phase tumour growth model with moving boundary.
    Gopikrishnan Chirappurathu Remesan, In B. Lamichane, T. Tran, and J. Bunder, editors, Proceedings of the 18th Biennial Computational Techniques and Applications Conference , CTAC-2018, volume 60 of ANZIAM J., pages C1–C15, 2019. [Cite]
    URL: https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/13936





  1. Lowest-order equivalent nonstandard finite element methods for time-dependent biharmonic problem
    Avijit Das, Neela Nataraj, Gopikrishnan Chirappurathu Remesan
  2. Biphasic model for wound healing closure
    Jennifer Flegg, Gopikrishnan Chirappurathu Remesan [Preprint]