3 papers
physics.flu-dyn2025
Self-adaptive physics-informed neural network for forward and inverse problems in heterogeneous porous flow
Md. Abdul Aziz, Thilo Strauss, Muhammad Mohebujjaman +1
We develop a self-adaptive physics-informed neural network (PINN) framework that reliably solves forward Darcy flow and performs accurate permeability inversion in heterogeneous po…
math.NA2025
Efficient, Accurate, and Robust Penalty-Projection Algorithm for Parameterized Stochastic Navier-Stokes Flow Problems
Neethu Suma Raveendran, Md. Abdul Aziz, Sivaguru S. Ravindran +1
This paper presents and analyzes a fast, robust, efficient, and optimally accurate fully discrete splitting algorithm for the Uncertainty Quantification (UQ) of parameterized Stoch…
math.NA2024
Two Robust, Efficient, and optimally Accurate Algorithms for parameterized stochastic navier-stokes Flow Problems
Neethu Suma Raveendran, Md Abdul Aziz, Muhammad Mohebujjaman
This paper presents and analyzes two robust, efficient, and optimally accurate fully discrete finite element algorithms for computing the parameterized Navier-Stokes Equations (NSE…