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math.NA2025
A simple-to-implement nonlinear preconditioning of Newton's method for solving the steady Navier-Stokes equations
Muhammad Mohebujjaman, Mengying Xiao, Cheng Zhang
The Newton's method for solving stationary Navier-Stokes equations (NSE) is known to convergent fast, however, may fail due to a bad initial guess. This work presents a simple-to-i…
math.NA2023
A Penalty-projection based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows
Muhammad Mohebujjaman, Julian Miranda, Md. Abdullah Al Mahbub +1
We propose, analyze, and test a penalty projection-based efficient and accurate algorithm for the Uncertainty Quantification (UQ) of the time-dependent Magnetohydrodynamic (MHD) fl…