**
WELCOME to My HOME PAGE **

** Prof. Thirupathi Gudi
**

**Associate Professor
**
**
Department of Mathematics**

**
Indian Institute of Science**

**Bangalore - 560 012
**

**
Phone: +91 - 80 - 2293 3208**

**E-mail:
lastname [AT] iisc[dot]ac[dot]in **

## Home |
## Academic |
## Teaching |
## Research |
## Publications |

40. Matteo Cicuttin, Alexandre Ern and Thirupathi Gudi. Discontinuous-Skeletal methods with linear and quadratic reconstructions for the elliptic obstacle problem.
submitted. 39. Thirupathi Gudi and Papri Majumder. Convergence analysis of finite element method for a parabolic obstacle problem.
submitted. 38. Asha K. Dond and Thirupathi Gudi. Patch-wise local projection stabilized finite element
methods for convection-diffusion problem.
submitted. 37. Sharat Gaddam and Thirupathi Gudi.
Inhomogeneous Dirichlet boundary condition in the a posteriori error control of the obstacle problem.
Comput. Math. Appl., 75 (2018), pp. 2311--2327. 36. Sharat Gaddam and Thirupathi Gudi.
Bubbles enriched quadratic finite element method for the 3D-elliptic obstacle problem.
Comput. Meth. Appl. Math., 18 (2018), pp. 223--236. 35. Susanne C. Brenner, Thirupathi Gudi, Kamana Porwal and Li-yeng Sung.
A Morley finite element method for an elliptic
distributed optimal control problem with pointwise
state and control constraints. ESAIM: Control, Optim. Calc. Var., DOI. https://doi.org/10.1051/cocv/2017031. 34. Jintao Cui and Thirupathi Gudi. Finite element approximation of a free boundary plasma problem.
Adv. Comp. Math., 43 (2017), pp. 517--535. 33. Sudipto Chowdhury and Thirupathi Gudi.
A $C^0$ interior penalty method for the Dirichlet control
problem governed by biharmonic operator.
J. Comp. Appl. Math., 317 (2017), pp. 290--306. 32. Sudipto Chowdhury, Thirupathi Gudi and A. K. Nandakumaran. Error bounds for a Dirichlet boundary control problem based on energy spaces.
Math. Comp., 86 (2017), pp. 1103-1126. 31. Asha K. Dond, Thirupathi Gudi and Neela Nataraj. A nonconforming finite element approximation for
optimal control of an obstacle problem.
Comput. Meth. Appl. Math., 16 (2016), pp. 653--666. 30. Thirupathi Gudi and Kamana Porwal. A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem.
J. Comp. Appl. Math., 292 (2016), pp. 257--278. 29. Thirupathi Gudi and Kamana Porwal.
A $C^0$ interior penalty method for a fourth order variational inequality
of the second kind.
Numer. Methods PDEs, 32 (2016), pp. 36-59. 28. Sudipto Chowdhury, Thirupathi Gudi and A. K. Nandakumaran. A frame work for the error analysis of discontinuous finite element methods for elliptic optimal control problems and applications to $ C^ 0$ IP methods.
Numer. Funct. Anal. Optim., 36 (2015), pp. 1388-1419. 27. Thirupathi Gudi and Kamana Porwal. A reliable residual based a posteriori error estimator for quadratic finite element method for the elliptic obstacle problem.
Comput. Meth. Appl. Math., 15 (2015), pp. 145-160. 26. Thirupathi Gudi. Babuska's penalty method for
inhomogeneous Dirichlet problem: Error estimates and Multigrid
algorithms. Int. J. Numer. Anal. Model. Series-B, 5 (2014), pp. 299-316. 25. Thirupathi Gudi, Neela Nataraj and Kamana Porwal. An interior penalty method for distributed optimal control problems governed by the biharmonic operator.
Comput. Math. Appl., 68 (2014), pp. 2205-2221. 24. Santiago Badia, Ramon Codina, Thirupathi Gudi and Johnny Guzman.
Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity.
IMA J. Numer. Anal., 34 (2014), pp. 800-819. 23. Thriupathi Gudi and Johnny Guzman.
Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods.
ESAIM : Math. Model. Numer. Anal.(M2AN), 48 (2014), pp. 753-764. 22. Thirupathi Gudi and Kamana Porwal.
A remark on the a posteriori error analysis of
discontinuous Galerkin methods for obstacle problem.
Comput. Meth. Appl. Math. 14 (2014), pp. 71-87. 21. Thirupathi Gudi and Kamana Porwal.
A posteriori error
control of discontinuous Galerkin methods for elliptic obstacle
problems. Math. Comp. 83 (2014), pp. 579-602. 20. Thirupathi Gudi and H. S. Gupta.
A fully
discrete $C^0$ interior penalty method for the Extended
Fisher-Kolmogorov equation.
J. Comp. Appl. Math., 247 (2013), pp. 1-16. 19. Thirupathi Gudi, H. S. Gupta and Neela Nataraj.
Analysis of an interior penalty method for fourth order problems
on polygonal domains. J. Sci. Comput., 54 (2013), pp. 177-199. 18. Susanne C. Brenner, Shiyuan Gu, Thirupathi Gudi and Li-yeng Sung.
A quadratic $C^0$ interior penalty method
for linear fourth order boundary value problems with boundary conditions
of the Cahn-Hilliard type. SIAM J. Numer. Anal., 50 (2012), pp. 2088-2110. 17. Thirupathi Gudi.
Finite element
method for a nonlocal problem of Kirchhoff type. SIAM J. Numer. Anal., 50 (2012), pp. 657-668. 16. Thirupathi Gudi and Michael Neilan.
An interior penalty method for a sixth order elliptic problem. IMA J. Numer. Anal., 31 (2011), pp. 1734--1753. 15. Susanne C. Brenner, Jintao Cui, Thirupathi Gudi and Li-yeng Sung.
Multigrid algorithms for symmetric
discontinuous Galerkin methods on graded meshes. Numer. Math., 119 (2011), pp. 21-47. 14. Susanne C. Brenner, Thirupathi Gudi, Michael Neilan and Li-yeng Sung.
$C^0$ penalty method for the fully nonlinear Monge-Ampere equation. Math. Comp., 80 (2011), 1979-1995. 13. Thirupathi Gudi.
Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems. Calcolo, 47 (2010), pp. 239-261. 12. Thirupathi Gudi.
Residual based a posteriori
error estimator for the mixed finite element approximation of the
biharmonic equation. Numer. Methods PDEs., 27 (2011), pp. 315-328. 11. Susanne C. Brenner, Thirupathi Gudi and Li-yeng Sung.
Weakly over-penalized symmetric interior penalty method for fourth
order elliptic problems. Elec. Tran. Numer. Anal., 37( 2010), pp. 214--238. 10. Thirupathi Gudi,
A new error analysis for
discontinuous finite element methods for linear elliptic
problems. Math. Comp., 79 (2010), pp. 2169-2189. 9. Susanne C. Brenner, Thirupathi Gudi and Li-yeng Sung.
An a posteriori error estimator for a quadratic $C^0$ interior penalty method
for the biharmonic problem. IMA J. Numer. Anal., 30 (2010), pp. 777 - 798. 8. Susanne C. Brenner, Thirupathi Gudi, Luke Owens and Li-yeng Sung.
An intrinsically parallel finite element method. J. Sci. Comput., 42 (2010), pp. 118--121. 7. Susanne C. Brenner, Thirupathi Gudi and Li-yeng Sung.
A posteriori error control for a weakly over-penalized symmetric interior penalty method. J. Sci. Comput., 40 (2009), pp. 37-50.
6. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani.
On L^2 error estimate of non-symmetric interior penalty Galerkin
method for linear elliptic problems with non-homogeneous Dirichlet
data. J. Comp. Appl. Math., 228 (2009), pp. 30-40. 5. Carsten Carstensen, Thirupathi Gudi and Max Jensen.
A unifying theorey of a posteriori error control for discontinuous
Galerkin fems. Numer. Math., 112 (2009), pp. 363-379. 4. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani.
Mixed discontinuous Galerkin finie element method for the biharmonic
equation. J. Sci. Comput., 37 (2008), pp. 139-161. 3. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani. hp-
discontinuous Galerkin methods for
strongly nonlinear elliptic boundary value problems. Numer. Math., 109 (2008), pp. 233-268. 2. Thirupathi Gudi, Neela Nataraj and Amiya K. Pani.
An hp-local discontinuous Galerkin methods for
some quasilinear elliptic problems of non-monotone type. Math. Comp., 77 (2008),pp. 731-756. 1. Thirupathi Gudi and Amiya K. Pani.
Discontinuous Galerkin methods for
quasilinear elliptic problems of non-monotone type. SIAM J. Numer. Anal., 45 (2007), pp. 163-192. |