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Thirupathi Gudi
Professor
Department of Mathematics
Indian Institute of Science
Bangalore - 560 012

Phone: +91 - 80 - 2293 3208
E-mail: gudi [AT] iisc[dot]ac[dot]in


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    60. Arnab Pal and Thirupathi Gudi.
    Convergence and Quasi-optimality of an AFEM for the Dirichlet boundary control problem.
    Submitted

    59. Ramesh Ch. Sau and Thirupathi Gudi.
    A two-grid Adaptive Finite Element Method for the Dirichlet Boundary Control Problem Governed by Stokes Equation.
    arXiv:2401.15582

    58. Arnab Pal and Thirupathi Gudi.
    Convergence of an AFEM for a Nonlocal nonlinear problem of Kirchhoff type.
    Submitted

    57. Soeren Bartels, Thirupathi Gudi, and Alex Kaltenbach.
    A priori and a posteriori error identities for the scalar signorini problem.
    arXiv:2407.10912.

    56. Arnab Pal and Thirupathi Gudi.
    Quasi-Optimality of an AFEM for general second order elliptic PDE.
    Comp. Meth. Appl. Math., to appear.

    55. Gouranga Mallik, Rahul Biswas and Thirupathi Gudi.
    A Local Projection Stabilised HHO Method for the Oseen Problem
    Comput. Math. Appl., 176 (2024), 202--220.

    54. Gouranga Mallik and Thirupathi Gudi.
    A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems.
    J. Sci. Comput., 98(1)(2024):6

    53. Blanca Ayuso De Dios,Thirupathi Gudi and Kamana Porwal.
    Pointwise a posteriori error analysis of a discontinuous Galerkin method for the elliptic obstacle problem.
    IMA J. Numer. Anal., 43(4)(2023), 2377--2412.

    52. Thirupathi Gudi and Ramesh Ch. Sau.
    A two-level finite element method for Stokes constrained Dirichlet boundary control problem.
    Comput. Math. Appl., 129 (2023), 126--135.

    51. Blanca Ayuso De Dios,Thirupathi Gudi and Kamana Porwal.
    A Posteriori Error Estimates in Maximum Norm for Interior Penalty Discontinuous Galerkin Approximation of the Obstacle Problem.
    Lecture Notes in Computational Science and Engineering, 145(2022), pp. 205--212

    50. Thirupathi Gudi, Gouranga Mallik and Ramesh Ch. Sau.
    Finite Element Analysis of a Dirichlet Boundary Control Problem Governed by a Linear Parabolic Equation.
    SIAM J. Control and Optim. 60(6)(2022), 3262--3288.

    49. Thirupathi Gudi, Gouranga Mallik and Tamal Pramanick.
    A hybrid high order method for quasilinear elliptic problems of nonmonotone type.
    SIAM J. Numer. Anal., 60(4)(2022), 2318--2344.

    48. Alexandre Ern, Thirupathi Gudi, Iain Smears and Martin Vohralik.
    Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div)
    IMA J. Numer. Anal. 42(2)(2022), 1023--1049.

    47. Sharat Gaddam, Thirupathi Gudi and Kamana Porwal.
    Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods.
    BIT Numer. Math., 62(1)(2022). 89--124.

    46. Thirupathi Gudi and Ramesh Chandra Sau.
    Finite Element Analysis of the Constrained Dirichlet Boundary Control Problem Governed by the Diffusion Problem.
    ESAIM: Control, Optim. Calc. Var., 26 (2020) Art. 78. (19pp). doi: 10.1051/cocv/2019068.

    45. Matteo Cicuttin, Alexandre Ern and Thirupathi Gudi.
    Hybrid high-order methods for the elliptic obstacle problem.
    J. Sci. Comput., 83(2020):8

    44. Thirupathi Gudi and Papri Majumder.
    Crouzeix-Raviart Finite Element Approximation for the Parabolic Obstacle Problem
    Comput. Meth. Appl. Math., 20(2) (2020), 273--292.

    43. Asha K. Dond and Thirupathi Gudi.
    A posteriori error analysis for patch-wise local projection stabilized FEM for convection-diffusion problems.
    Hyperbolic problems: theory, numerics, applications, 408--418, AIMS Ser. Appl. Math., 10, Am. Inst. Math. Sci. (AIMS), Springfield, MO, [2020]

    42. Thirupathi Gudi and Papri Majumder.
    Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem
    Comput. Math. Appl., 78 (2019), 3896--3915.

    41. Thirupathi Gudi and Papri Majumder.
    Convergence analysis of finite element method for a parabolic obstacle problem.
    J. Comp. Appl. Math. 357 (2019), pp. 85-102.

    40. Asha K. Dond, Thirupathi Gudi and Ramesh Ch. Sau.
    An error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation.
    Numer. Funct. Anal. Optim., 40 (2019), pp. 421--460.

    39. Rahul Biswas, Asha K. Dond and Thirupathi Gudi.
    Edge Patch-Wise Local Projection Stabilized Nonconforming FEM for the Oseen Problem.
    Comput. Meth. Appl. Math., 19 (2019), pp. 189--214.

    38. Asha K. Dond and Thirupathi Gudi.
    Patch-wise local projection stabilized finite element methods for convection-diffusion problem.
    Numer. Methods PDEs, 35 (2019), pp. 638-663.

    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., 24 (2018), pp. 1181-1206.

    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.