3 papers
math.NA2025
p and hp Spectral Element Methods for Elliptic Boundary Layer Problems
Akhlaq Husain, Aliya Kazmi, Subhashree Mohapatra +1
In this article, we propose p and hp least-squares spectral element methods for one-dimensional elliptic boundary layer problems. Stability estimates are derived and we design nume…
math.NA2025
Higher-order spectral element method for the stationary Stokes interface problem in two dimensions
Kishore Kumar Naraparaju, Shivangi Joshi, Subhashree Mohapatra
This article presents a higher-order spectral element method for the two-dimensional Stokes interface problem involving a piecewise constant viscosity coefficient. The proposed num…
math.NA2025
Least squares spectral element formulation of eigenvalue problems with/without interface : the one dimensional example
Himanshu Garg, Fleurianne Bertrand, Subhashree Mohapatra
Here, we present a least-squares based spectral element formulation for one-dimensional eigenvalue problems with interface conditions. First we develop the method for without inter…