34.  Divay Garg and Kamana Porwal. Discontinuous Galerkin finite element methods for the control constrained Dirichlet control problem governed by the diffusion equation (Accepted in Journal of Scientific Computing).

33. Kamana Porwal  and Ritesh Singla. Discontinuous Galerkin finite element method for a fourth order parabolic variational inequality ( Accepted in Computers and Mathematics with Applications).

32. Thirupathi Gudi, Kamana Porwal and Tanvi Wadhawan.  Higher order discontinuous Galerkin finite element methods for the contact problems,

Advances in Applied Mechanics, Elsevier, 2025, ISSN 0065-2156, https://doi.org/10.1016/bs.aams.2025.02.001.

31. Divay Garg and Kamana Porwal. Discontinuous Galerkin method for Dirichlet boundary control problem governed by biharmonic operator,  Journal of Scientific Computing (2025), Vol 103, Paper no. 23.

30. Kamana Porwal  and Ritesh Singla. A posteriori error analysis of hybrid high-order methods for the elliptic obstacle problem,  Journal of Scientific Computing (2025), no. 1, Paper No. 15, 20 pp.

29. H. N. Mallesham, Kamana Porwal, J. Valdman  and  S. K. Acharya. Vectorized implementation of primal hybrid FEM in MATLAB, Computers and Mathematics with Applications (2025), 180:144-165.

28. Kamana Porwal and Tanvi Wadhwan. Convergence analysis of non-conforming finite element method for a quasi-static contact  problem, Communications on Applied Mathematics and Computation (2025) https://doi.org/10.1007/s42967-024-00459-x.

27. Kamana Porwal and Tanvi Wadhwan. Quadratic discontinuous Galerkin finite element methods for the unilateral contact problem, Computational  Methods in Applied Mathematics (2025), 25(1):189–213. 

26. Kamana Porwal  and Ritesh Singla. Pointwise adaptive non-conforming finite element method for the obstacle problem,  Computational and Applied Mathematics (2024), no. 3, Paper No. 150, 22 pp.

25. Pratibha Shakya and Kamana Porwal. Adaptive finite element method for an elliptic optimal control problem with integral state constraints, Communications on Applied Mathematics and Computation (2024) https://doi.org/10.1007/s42967-024-00397-8.

24. Kamana Porwal and Tanvi Wadhwan. Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance,  Journal of  Computational and  Applied Mathematics (2023) 115350 https://doi.org/10.1016/j.cam.2023.115350.

23. Rohit Khandelwal, Kamana Porwal and Tanvi Wadhwan. Adaptive quadratic finite element method for the unilateral contact problem, Journal of Scientific Computing (2023), 96:20 https://doi.org/10.1007/s10915-023-02206-5.

22. Rohit Khandelwal, Kamana Porwal  and Ritesh Singla. Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem, Computers and Mathematics with Applications (2023), 137:147-171 https://doi.org/10.1016/j.camwa.2023.02.003.

21. Divay Garg and Kamana Porwal. Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem, Applied Numerical Mathematics (2023), 185:336–364 https://doi.org/10.1016/j.apnum.2022.12.001.

20.  Divay Garg and Kamana Porwal. Mixed finite element method for the second order Dirichlet boundary control problem, Computers and Mathematics with Applications (2023), 135:31-59.

19. Divay Garg and Kamana Porwal. Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem, Mathematics and Computers in Simulation (2023), 207:1-23, https://doi.org/10.1016/j.matcom.2022.12.011.

18.  Rohit Khandelwal and Kamana Porwal. Pointwise a posteriori error control of discontinuous Galerkin method for unilateral contact  problems, Computational  Methods in Applied Mathematics (2023), 23(1):189-217  https://doi.org/10.1515/cmam-2021-0194. 

17.  Rohit Khandelwal and Kamana Porwal. Pointwise a posteriori error analysis of a finite element method for the Signorini  problem,  Journal of Scientific Computing, 91, 42 (2022)  https://doi.org/10.1007/s10915-022-01811-0 .

16.  Rohit Khandelwal and Kamana Porwal. Pointwise a posteriori error analysis of quadratic finite element method for the elliptic obstacle problem ,  Journal of  Computational and  Applied Mathematics,  412, 114364 (2022) https://doi.org/10.1016/j.cam.2022.114364 .

15.  B. Ayuso de Dios, T. Gudi, and Kamana Porwal. Pointwise a posteriori error analysis of a discontinuous Galerkin method for the elliptic obstacle problem, IMA Journal of  Numerical Analysis (2022) 00, 1–36  https://doi.org/10.1093/imanum/drac046.

14. B. Ayuso de Dios, T. Gudi, and Kamana Porwal. A posteriori error estimates in maximum norm for  interior penalty  discontinuous Galerkin approximation for the obstacle problem.  Lecture Notes in Computational Science and Engineering, Springer ,Cham (2022), 145:205--212.

13.  S. K. Acharya and Kamana Porwal. Primal hybrid finite element method for the linear elasticity problem, Applied Mathematics and Computation 435, 127462 (2022) https://doi.org/10.1016/j.amc.2022.127462.

12.  S. Gaddam, T. Gudi and Kamana Porwal. Two new approaches for solving elliptic obstacle problem using discontinuous Galerkin methods,  BIT Numerical Mathematics, 62 (2022) pp. 89-124.

11.  Kamana Porwal and Pratibha Shakya. A finite element method for an elliptic optimal control problem with integral state constraints, Applied Numerical Mathematics, 169 (2021), pp. 273-288.

10.  S. K. Acharya and Kamana Porwal. Primal hybrid finite element method for fourth order parabolic problems, Applied Numerical Mathematics 152 (2020), pp. 12–28.

9.  S. C. Brenner, T. Gudi, Kamana Porwal, L. Y.  Sung. A Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints. ESAIM Control Optimization and Calculus of Variations, 24(2018), pp. 1181-1206.

8.  Kamana Porwal. Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity. Applied Numerical Mathematics, 112 (2017) pp. 182-202.

7.  S. C. Brenner, M. Oh, S. Pollock, Kamana Porwal, M. Schedensack, N. S. Sharma. A  C0 interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints. Topics in Numerical Partial Differential Equations and Scientific Computing, Springer New York, (2016) pp. 1-22.

6.  T. Gudi and Kamana Porwal. A C0 interior penalty method for a fourth order variational inequality of the second kind. Numer. Methods PDEs, 32 (2016), pp. 36-59. 

5.  T. Gudi and Kamana Porwal. An a posteriori error estimator for discontinuous Galerkin methods for the Signorini problem. J. Comp. Appl. Math., 292 (2016), pp. 257-278. 

4.  T. Gudi and Kamana Porwal. A reliable residual based a posteriori error estimator for quadratic finite element method for the elliptic obstacle problem. Comp. Meth. Appl. Math., 15 (2015), pp. 145-160.

3.  T. Gudi, N. Nataraj and Kamana Porwal. An interior penalty method for distributed optimal control problems governed by the biharmonic operator. Comp. Math. Appl., 68 (2014), pp. 2205-2221. 

2.  T. 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. 

1.   T. Gudi and Kamana Porwal. A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems. Math. Comp. 83 (2014), pp. 579-602.