Publications

AR Dutta Mohapatra, R Kumar, B Deka. ``An Efficient and Robust Weak Galerkin Scheme for Solving the 2D/3D H(curl;$\Omega$)‐Elliptic Interface Problems With High‐Order Elements" Numerical Methods for Partial Differential Equations (Wiley), 41.1 : e23155 (2025).

AR Dutta Mohapatra and B Deka. ``A new error analysis of an explicit skeletal discontinuous Galerkin scheme for time-dependent Maxwell equations" Applied Numerical Mathematics (Elsevier), Vol - 217, pp - 18 - 42 (2025).

AR Dutta Mohapatra and B Deka. ``A non conforming temporal stabilizer-free finite element method for non-coercive eddy current problems" Journal of Computational and Applied Mathematics, (Elsevier) Vol 474, 116984 (2025).

R. Baruah, T. Ahmed and AR Dutta Mohapatra. ``A stabilizer-free weak Galerkin finite element method for singularly perturbed parabolic interface problems" Mathematical Forum (An Annual peer-reviewed UGC CARE listed research journal of the Department of Mathematics, Dibrugarh University), Volume 33 (2025).

AR Dutta Mohapatra and B Deka. ``Error Analysis of a Novel Unconditionally Stable Explicit Non-Conforming Finite Element Method for the Nonlinear Dispersive Wave Equations" Communications in Nonlinear Science and Numerical Simulation, (Elsevier), Volume 153, 109534.

AR Dutta Mohapatra and B Deka. ``Convergence analysis of a skeletal discontinuous Galerkin finite element method for time-harmonic Maxwell equations with large wave numbers" (accepted)  Mathematics and Computers in Simulation, (Elsevier).