3 papers
math.NA2026
Generalized MLS and LS-SVR for Allen-Cahn Equations on Spheres
Vahid Mohammadi, Mehdi Dehghan, Stefano De Marchi
This work extends least-squares support vector regression (LS-SVR) based on the generalized moving least squares (GMLS) approximation to the numerical solution of partial different…
math.NA2025
Mixed FEM for coupled unsteady fluid flow problems with -type Brinkman-Forchheimer framework and its application for reverse-osmosis desalination
Zeinab Gharibi, Mostafa Abbaszadeh, Mehdi Dehghan
This work analyzes a fully discrete mixed finite element method in a Banach space framework for solving nonstationary coupled fluid flow problems modeled by the Brinkman-Forchheime…
math.NA2024
Analysis of weak Galerkin mixed FEM based on the velocity--pseudostress formulation for Navier--Stokes equation on polygonal meshes
Zeinab Gharibi, Mehdi Dehghan
The present article introduces, mathematically analyzes, and numerically validates a new weak Galerkin (WG) mixed-FEM based on Banach spaces for the stationary Navier--Stokes equat…