Publications

[16] Carsten Carstensen, Asha K. Dond, Ruma R. Maity, Neela Nataraj, Lara Théallier,  Adaptive Crouzeix-Raviart finite elements for a non-convex Ginzburg-Landau model for nematic liquid crystals, Computer Methods in Applied Mechanics and Engineering, 452, Part A, 2026.

[15] Prasanta Kumar Barik, Asha K. Dond, Amjad Hasan, and Rakesh Kumar,  Hybrid CBSQI-WENO schemes for convection diffusion problems,  International Journal for Numerical Methods in Fluids, 2025.

[14] Asha K. Dond, Neela Nataraj, Subham Nayak, Convergence of Adaptive Crouzeix–Raviart and Morley FEM for Distributed Optimal Control Problems, Computational Methods in Applied Mathematics 24(3), 599-622, 2024.

[13] JL Dalby, Apala Majumdar, Y Wu, Asha K. Dond, Stochastic effects on solution landscapes for nematic liquid crystals, Liquid Crystals, (1):1-21, 2024.

[12] K. R. Arun, Asha K. Dond, Rakesh Kumar,  WENO smoothness indicator based troubled‐cell indicator for hyperbolic conservation laws, International Journal for Numerical Methods in Fluids 96 (1):44-86, 2024.

[11] Sudipto Chowdhury, Asha K Dond, Neela Nataraj, Devika Shylaja, A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations, ESAIM: M2AN 56(5): 1655-1686, 2022.

[10] Asha K. Dond and Rakesh Kumar, Finite difference modified WENO schemes for hyperbolic conservation laws with non-convex flux,  Internat. J. Numer. Methods Fluids, 93, 3005-3019, 2021.

[9]  Carsten Carstensen, Asha K. Dond and Hella Rabus, Quasi-optimality of adaptive mixed FEMs for general second-order linear elliptic problems, Comp. Meth. Appl. Math., 19(2):233-250, 2019. 

[8]  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(2):189-214, 2019.  

[7]  Asha K. Dond and Thirupathi Gudi, Patch-wise local projection stabilized finite element methods for convection diffusion problems, Numer. Methods Partial Differential Equations}, 35(2):638-663, 2019.

[6]  Asha K. Dond, Thirupathi Gudi and R. C. Sau, An error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation, Numerical Functional Analysis and Optimization, 40(4):421-460, 2019.

[5]  Carsten Carstensen, Asha K. Dond, Neela Nataraj and Amiya K. Pani, Three first-order finite volume element methods for the  stokes equations, SIAM J. Numer. Anal., 56(4):2648-2671, 2018. 

[4]  Asha K. Dond and Amiya K. Pani, A priori and a posteriori estimates of conforming and mixed FEM for Kirchhoff equation of elliptic type,  Comp. Meth. Appl. Math., 17(2):217-236,~2017. 

[3]  Asha K. Dond, Thirupathi Gudi, and Neela Nataraj, On a nonconforming finite element approximation for optimal control of an obstacle problem, Comp. Meth. Appl. Math., 16(4):653--666, 2016.

[2]  Asha K. Dond, Neela Nataraj and Amiya K. Pani, Convergence of an adaptive lowest-order Raviart-Thomas element method for general second order linear elliptic problems, IMA J Numer Anal  37(2):832-860, 2017.

[1]  Carsten Carstensen, Asha K. Dond, Neela Nataraj and Amiya K. Pani, Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems, Numer. Math., 113 (3):557-597, 2016.

Conference Proceedings

A. K. Dond and T. Gudi,  A posteriori error analysis for patch-wise local projection stabilized FEM for Convection-diffusion problem, XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications-2018.