These are the publications by Thirupathi Gudi after he joined the department.


  1. Cicuttin, Matteo and Ern, Alexandre and Gudi, Thirupathi, Hybrid high-order methods for the elliptic obstacle problem, J. Sci. Comput. , 83 (2020), Paper No. 8, 18.
    (Article) (Review)

  2. Gudi, Thirupathi and Majumder, Papri, Crouzeix-Raviart finite element approximation for the parabolic obstacle problem, Comput. Methods Appl. Math. , 20 (2020), 273-292.
    (Article) (Review)

  3. Gudi, Thirupathi and Sau, Ramesh Ch., Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem, ESAIM Control Optim. Calc. Var. , 26 (2020), Paper No. 78, 19. (Article) (Review)
  4. Biswas, Rahul and Dond, Asha K. and Gudi, Thirupathi, Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem, Comput. Methods Appl. Math. , 19 (2019), 189-214. (Article) (Review)
  5. Dond, Asha K. and Gudi, Thirupathi, Patch-wise local projection stabilized finite element methods for convection-diffusion-reaction problems, Numer. Methods Partial Differential Equations , 35 (2019), 638-663. (Article) (Review)
  6. Dond, Asha K. and Gudi, Thirupathi and Sau, Ramesh CH., An error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation, Numer. Funct. Anal. Optim. , 40 (2019), 421-460. (Article) (Review)
  7. Gudi, Thirupathi and Majumder, Papri, Convergence analysis of finite element method for a parabolic obstacle problem, J. Comput. Appl. Math. , 357 (2019), 85-102. (Article) (Review)
  8. Gudi, Thirupathi and Majumder, Papri, Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem, Comput. Math. Appl. , 78 (2019), 3896-3915. (Article) (Review)
  9. Brenner, Susanne C. and Gudi, Thirupathi and Porwal, Kamana and Sung, Li-Yeng, A Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints, ESAIM Control Optim. Calc. Var. , 24 (2018), 1181-1206. (Article) (Review)
  10. Gaddam, Sharat and Gudi, Thirupathi, Inhomogeneous Dirichlet boundary condition in the \it a posteriori error control of the obstacle problem, Comput. Math. Appl. , 75 (2018), 2311-2327. (Article) (Review)
  11. Gaddam, Sharat and Gudi, Thirupathi, Bubbles enriched quadratic finite element method for the 3D-elliptic obstacle problem, Comput. Methods Appl. Math. , 18 (2018), 223-236. (Article) (Review)
  12. Chowdhury, Sudipto and Gudi, Thirupathi, A C0 interior penalty method for the Dirichlet control problem governed by biharmonic operator, J. Comput. Appl. Math. , 317 (2017), 290-306. (Article) (Review)
  13. Chowdhury, Sudipto and Gudi, Thirupathi and Nandakumaran, A. K., Error bounds for a Dirichlet boundary control problem based on energy spaces, Math. Comp. , 86 (2017), 1103-1126. (Article) (Review)
  14. Cui, Jintao and Gudi, Thirupathi, Finite element approximation of a free boundary plasma problem, Adv. Comput. Math. , 43 (2017), 517-535. (Article) (Review)
  15. Dond, Asha K. and Gudi, Thirupathi and Nataraj, Neela, A nonconforming finite element approximation for optimal control of an obstacle problem, Comput. Methods Appl. Math. , 16 (2016), 653-666. (Article) (Review)
  16. Gudi, Thirupathi and Porwal, Kamana, A C0 interior penalty method for a fourth-order variational inequality of the second kind, Numer. Methods Partial Differential Equations , 32 (2016), 36-59. (Article) (Review)
  17. Gudi, Thirupathi and Porwal, Kamana, A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem, J. Comput. Appl. Math. , 292 (2016), 257-278. (Article) (Review)
  18. Chowdhury, Sudipto and Gudi, Thirupathi and Nandakumaran, A. K., A framework for the error analysis of discontinuous finite element methods for elliptic optimal control problems and applications to C0 IP methods, Numer. Funct. Anal. Optim. , 36 (2015), 1388-1419. (Article) (Review)
  19. Gudi, Thirupathi and Porwal, Kamana, A reliable residual based a posteriori error estimator for a quadratic finite element method for the elliptic obstacle problem, Comput. Methods Appl. Math. , 15 (2015), 145-160. (Article) (Review)
  20. Badia, S. and Codina, R. and Gudi, T. and Guzmán, J., Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity, IMA J. Numer. Anal. , 34 (2014), 800-819. (Article) (Review)
  21. Gudi, Thirupathi, Babuška's penalty method for inhomogeneous Dirichlet problem: error estimates and multigrid algorithms, Int. J. Numer. Anal. Model. Ser. B , 5 (2014), 299-316. (Review)
  22. Gudi, Thirupathi and Guzmán, Johnny, Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods, ESAIM Math. Model. Numer. Anal. , 48 (2014), 753-764. (Article) (Review)
  23. Gudi, Thirupathi and Nataraj, Neela and Porwal, Kamana, An interior penalty method for distributed optimal control problems governed by the biharmonic operator, Comput. Math. Appl. , 68 (2014), 2205-2221. (Article) (Review)
  24. Gudi, Thirupathi and Porwal, Kamana, A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems, Math. Comp. , 83 (2014), 579-602. (Article) (Review)
  25. Gudi, Thirupathi and Porwal, Kamana, A remark on the a posteriori error analysis of discontinuous Galerkin methods for the obstacle problem, Comput. Methods Appl. Math. , 14 (2014), 71-87. (Article) (Review)
  26. Gudi, Thirupathi and Gupta, Hari Shanker, A fully discrete C0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation, J. Comput. Appl. Math. , 247 (2013), 1-16. (Article) (Review)
  27. Gudi, Thirupathi and Gupta, Hari Shanker and Nataraj, Neela, Analysis of an interior penalty method for fourth order problems on polygonal domains, J. Sci. Comput. , 54 (2013), 177-199. (Article) (Review)
  28. Brenner, Susanne C. and Gu, Shiyuan and Gudi, Thirupathi and Sung, Li-yeng, A quadratic Cçirc interior penalty method for linear fourth order boundary value problems with boundary conditions of the Cahn-Hilliard type, SIAM J. Numer. Anal. , 50 (2012), 2088-2110. (Article) (Review)
  29. Gudi, Thirupathi, Finite element method for a nonlocal problem of Kirchhoff type, SIAM J. Numer. Anal. , 50 (2012), 657-668. (Article) (Review)
  30. Brenner, Susanne C. and Gudi, Thirupathi and Neilan, Michael and Sung, Li-yeng, C0 penalty methods for the fully nonlinear Monge-Ampère equation, Math. Comp. , 80 (2011), 1979-1995. (Article) (Review)
  31. Gudi, Thirupathi and Neilan, Michael, An interior penalty method for a sixth-order elliptic equation, IMA J. Numer. Anal. , 31 (2011), 1734-1753. (Article) (Review)
  32. Gudi, Thirupathi, Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems, Calcolo , 47 (2010), 239-261. (Article) (Review)

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