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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

Member
Analysis and Probability Research Group (APRG)
Indian Institute of Science
Bangalore - 560 012


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Publications


    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., https://doi.org/10.1016/j.camwa.2017.12.010.(arXiv:1611.02805)

    36. Sharat Gaddam and Thirupathi Gudi.
    Bubbles enriched quadratic finite element method for the 3D-elliptic obstacle problem.
    Comput. Meth. Appl. Math., DOI: https://doi.org/10.1515/cmam-2017-0018 (arXiv:1611.02807)

    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.