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Bartels, Sören ; Gudi, Thirupathi ; Kaltenbach, Alex (2025) A Priori and A Posteriori Error Identities for the Scalar Signorini Problem SIAM Journal on Numerical Analysis, 63 (5). pp. 2155-2186. ISSN 0036-1429

Pal, Arnab ; Gudi, Thirupathi (2025) Convergence of an AFEM for a non-local nonlinear problem of Kirchhoff type Computers & Mathematics with Applications, 189 . pp. 176-193. ISSN 0898-1221

Gudi, Thirupathi ; Shakya, Pratibha (2025) Error estimates for a bubble-enriched $C^0$ interior penalty method to a reduced state constrained elliptic optimal control problem Journal of Computational and Applied Mathematics, 460 . p. 116397. ISSN 0377-0427

Gudi, Thirupathi ; Porwal, Kamana ; Wadhawan, Tanvi (2025) Higher order discontinuous Galerkin finite element methods for the contact problems Advances in Applied Mechanics . pp. 1-55. ISSN 0065-2156

Pal, Arnab ; Gudi, Thirupathi (2024) Convergence and quasi-optimality of an AFEM for the Dirichlet boundary control problem IMA Journal of Numerical Analysis . ISSN 0272-4979

Mallik, Gouranga ; Biswas, Rahul ; Gudi, Thirupathi (2024) A local projection stabilised HHO method for the Oseen problem Computers & Mathematics with Applications, 176 . pp. 202-220. ISSN 0898-1221

Pal, Arnab ; Gudi, Thirupathi (2024) Quasi-Optimality of an AFEM for General Second Order Elliptic PDE Computational Methods in Applied Mathematics, 25 (1). pp. 173-188. ISSN 1609-4840

Mallik, Gouranga ; Gudi, Thirupathi (2023) A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems Journal of Scientific Computing, 98 (1). ISSN 0885-7474

Gudi, Thirupathi ; Mallik, Gouranga ; Sau, Ramesh Ch. (2022) Finite Element Analysis of a Constrained Dirichlet Boundary Control Problem Governed by a Linear Parabolic Equation SIAM Journal on Control and Optimization, 60 (6). pp. 3262-3288. ISSN 0363-0129

Ayuso de Dios, Blanca ; Gudi, Thirupathi ; Porwal, Kamana (2022) Pointwisea posteriorierror analysis of a discontinuous Galerkin method for the elliptic obstacle problem IMA Journal of Numerical Analysis, 43 (4). pp. 2377-2412. ISSN 0272-4979

Gudi, Thirupathi ; Mallik, Gouranga ; Pramanick, Tamal (2022) A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type SIAM Journal on Numerical Analysis, 60 (4). pp. 2318-2344. ISSN 0036-1429

Gaddam, Sharat ; Gudi, Thirupathi ; Porwal, Kamana (2021) Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods BIT Numerical Mathematics, 62 (1). pp. 89-124. ISSN 0006-3835

Ern, Alexandre ; Gudi, Thirupathi ; Smears, Iain ; Vohralík, Martin (2021) Equivalence of local- and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H (div) IMA Journal of Numerical Analysis, 42 (2). pp. 1023-1049. ISSN 0272-4979

Gudi, Thirupathi ; Majumder, Papri (2019) Crouzeix–Raviart Finite Element Approximation for the Parabolic Obstacle Problem Computational Methods in Applied Mathematics, 20 (2). pp. 273-292. ISSN 1609-4840

Dond, Asha K. ; Gudi, Thirupathi ; Sau, Ramesh C.H. (2018) An Error Analysis of Discontinuous Finite Element Methods for the Optimal Control Problems Governed by Stokes Equation Numerical Functional Analysis and Optimization, 40 (4). pp. 421-460. ISSN 0163-0563

Dond, Asha K. ; Gudi, Thirupathi (2018) Patch‐wise local projection stabilized finite element methods for convection–diffusion–reaction problems Numerical Methods for Partial Differential Equations, 35 (2). pp. 638-663. ISSN 0749-159X

Biswas, Rahul ; Dond, Asha K. ; Gudi, Thirupathi (2018) Edge Patch-Wise Local Projection Stabilized Nonconforming FEM for the Oseen Problem Computational Methods in Applied Mathematics, 19 (2). pp. 189-214. ISSN 1609-4840

Gaddam, Sharat ; Gudi, Thirupathi (2017) Bubbles Enriched Quadratic Finite Element Method for the 3D-Elliptic Obstacle Problem Computational Methods in Applied Mathematics, 18 (2). pp. 223-236. ISSN 1609-4840

Cui, Jintao ; Gudi, Thirupathi (2016) Finite element approximation of a free boundary plasma problem Advances in Computational Mathematics, 43 (3). pp. 517-535. ISSN 1019-7168

Chowdhury, Sudipto ; Gudi, Thirupathi ; Nandakumaran, A. K. (2016) Error bounds for a Dirichlet boundary control problem based on energy spaces Mathematics of computation, 86 (305). pp. 1103-1126. ISSN 0025-5718

Chowdhury, Sudipto ; Gudi, Thirupathi ; Nandakumaran, A. K. (2015) A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC⁰IP Methods Numerical Functional Analysis and Optimization, 36 (11). pp. 1388-1419. ISSN 0163-0563

Gudi, Thirupathi ; Porwal, Kamana (2015) A C⁰ interior penalty method for a fourth‐order variational inequality of the second kind Numerical Methods for Partial Differential Equations, 32 (1). pp. 36-59. ISSN 0749-159X

Gudi, Thirupathi ; Porwal, Kamana (2015) A Reliable Residual Based A Posteriori Error Estimator for a Quadratic Finite Element Method for the Elliptic Obstacle Problem Computational Methods in Applied Mathematics, 15 (2). pp. 145-160. ISSN 1609-4840

Gudi, Thirupathi ; Porwal, Kamana (2014) A Remark on the A Posteriori Error Analysis of Discontinuous Galerkin Methods for the Obstacle Problem Computational Methods in Applied Mathematics, 14 (1). pp. 71-87. ISSN 1609-4840

Gudi, Thirupathi ; Porwal, Kamana (2013) A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems Mathematics of computation, 83 (286). pp. 579-602. ISSN 0025-5718

Gudi, Thirupathi (2012) Finite Element Method for a Nonlocal Problem of Kirchhoff Type SIAM Journal on Numerical Analysis, 50 (2). pp. 657-668. ISSN 0036-1429

Brenner, Susanne C. ; Gu, Shiyuan ; Gudi, Thirupathi ; Sung, Li-yeng (2012) A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type SIAM Journal on Numerical Analysis, 50 (4). pp. 2088-2110. ISSN 0036-1429

Gudi, T. ; Neilan, M. (2011) An interior penalty method for a sixth-order elliptic equation IMA Journal of Numerical Analysis, 31 (4). pp. 1734-1753. ISSN 0272-4979

Brenner, S. C. ; Cui, J. ; Gudi, T. ; Sung, L.-Y. (2011) Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes Numerische Mathematik, 119 (1). pp. 21-47. ISSN 0029-599X

Gudi, Thirupathi (2010) Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation, 47 (4). pp. 239-261. ISSN 0008-0624

Gudi, Thirupathi (2010) A new error analysis for discontinuous finite element methods for linear elliptic problems Mathematics of computation, 79 (272). pp. 2169-2189. ISSN 0025-5718

Brenner, S. C. ; Gudi, T. ; Owens, L. ; Sung, L.-Y. (2009) An Intrinsically Parallel Finite Element Method Journal of Scientific Computing, 42 (1). pp. 118-121. ISSN 0885-7474

Brenner, S. C. ; Gudi, T. ; Sung, L.-y. (2009) An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem IMA Journal of Numerical Analysis, 30 (3). pp. 777-798. ISSN 0272-4979

Carstensen, Carsten ; Gudi, Thirupathi ; Jensen, Max (2009) A unifying theory of a posteriori error control for discontinuous Galerkin FEM Numerische Mathematik, 112 (3). pp. 363-379. ISSN 0029-599X

Brenner, Susanne C. ; Gudi, Thirupathi ; Sung, Li-yeng (2009) A Posteriori Error Control for a Weakly Over-Penalized Symmetric Interior Penalty Method Journal of Scientific Computing, 40 (1-3). pp. 37-50. ISSN 0885-7474