2 papers
math.NA2026
Numerical analysis of the second-order time-dependent saddle point Maxwell system via a parameter-free discontinuous Galerkin method: The first optimal -norm error estimates
Achyuta Ranjan Dutta Mohapatra, Bhupen Deka
We present a novel parameter-free discontinuous Galerkin (dG) finite element method (FEM) for the time-dependent Maxwell system formulated as a saddle point problem. We establish t…
math.NA2026
Energy norm error estimates of a hybrid high-order method for the linear parabolic integro-differential equations on general meshes
Achyuta Ranjan Dutta Mohapatra
We are concerned in designing a suitable numerical scheme based on the equal-order hybrid high-order (HHO) method for the linear parabolic integro-differential equations. The spati…