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" Mathematics and Computers in Simulation, (Elsevier) Volume 243, Pages 407-426 .

P. Jana, AR Dutta Mohapatra and B Deka. ``Complete discrete error analysis of implicit Newmark $(\gamma, \theta)$ schemes for the acoustic wave equations with variable coefficients using weak Galerkin methods" Journal of Computational and Applied Mathematics, (Elsevier) Volume 481, 117285 (2026).

 T. Ahmed, R. Baruah and AR Dutta Mohapatra. ``Optimal error estimates for a singularly perturbed parabolic interface problem with a weak Galerkin method in space and forward Euler scheme in time", Advances in Applied Mathematics and Mechanics (Global Science Press) (accepted).

AR Dutta Mohapatra and B Deka. ``Optimal L2 -norm error estimates for steady and unsteady Maxwell equations using skeletal discontinuous Galerkin methods", Numerical Methods for Partial Differential Equations (Wiley), 42.2 : e7077 (2026).

AR Dutta Mohapatra, R Kumar, B Deka. ``Analysis of a least squares weak Galerkin finite element method for a Maxwell interface problem", Numerical Functional Analysis and Optimization (Taylor and Francis) (accepted).

AR Dutta Mohapatra and B Deka.``Numerical investigation of an explicit weak Galerkin scheme for a class of weakly damped semi-linear wave equations", Computers and Mathematics with Applications, (Elsevier), Volume 212, Pages 290 - 315, 2026.

AR Dutta Mohapatra. ``Energy norm error estimates of a hybrid high-order method for the linear parabolic integro-differential equations on general meshes" (arXiV preprint).