Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...
IEEE

A High-Order Nyström-Based Scheme Explicitly Enforcing Surface Density Continuity for the Electric Field Integral Equation

Abstract: This letter introduces an efficient approach for solving the electric field integral equation (EFIE) with high-order accuracy by explicitly enforcing the continuity of the induced current ...
IEEE

Uncertainty Quantification in PEEC Method: A Physics-Informed Neural Networks-Based Polynomial Chaos Expansion

Abstract: In this article, we propose a novel machine learning approach for uncertainty quantification (UQ) within the partial equivalent element circuit (PEEC) framework, employing physics-informed ...
GitHub

2D Lid Driven Cavity Flow

This repo provides a MATLAB example code for the lid-driven cavity flow where incompressible Navier Stokes equation is numerically solved using a simple 2nd order finite difference scheme on a ...