3 papers
physics.comp-ph2024
Approximating electromagnetic fields in discontinuous media using a single physics-informed neural network
Michel Nohra, Steven Dufour
Physics-Informed Neural Networks (PINNs) are a new family of numerical methods, based on deep learning, for modeling boundary value problems. They offer an advantage over tradition…
physics.comp-ph2024
Physics-Informed Neural Networks for the Numerical Modeling of Steady-State and Transient Electromagnetic Problems with Discontinuous Media
Michel Nohra, Steven Dufour
Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in v…
math.NA2024
Coupling of the Finite Element Method with Physics Informed Neural Networks for the Multi-Fluid Flow Problem
Michel Nohra, Steven Dufour
Multi-fluid flows are found in various industrial processes, including metal injection molding and 3D printing. The accuracy of multi-fluid flow modeling is determined by how well…