
Mohammed Abda
B.Eng. (Birzeit University), M.Sc. (University of Sussex), Ph.D. (Polytechnique Montréal)
Postdoctoral Fellow
Project Description
Using the FEM formulation as a loss function in the neural network such that the solution learned by the network satisfies the governing equations, boundary conditions, and the variational form imposed by FEM. This approach leverages the physical interpretability and mesh-based structure of FEM while incorporating the flexibility and data-driven capabilities of neural networks.
Publication(s)
M. Abda, E. Piollet, C. Blake, and F. Gosselin, The Finite Element Neural Network Method: One Dimensional Study. 2025. doi: 10.48550/arXiv.2501.12508.
[M. Abda and M. Rose, Axisymmetric Tip Gap Profiling in a Shroudless Axial Turbine. 2020. doi: 10.1115/GT2020-14301.
Research Supervisor(s)
Frédérick Gosselin
Research Theme
Physics-Informed Machine Learning
Areas of Expertise
FEM, Machine Learning, Neural Networks, PINNs, FENNM, Computational Modelling