Thesis
Efficient finite basis physics informed neural networks
- Creator
- Rights statement
- Awarding institution
- University of Strathclyde
- Date of award
- 2026
- Thesis identifier
- T18163
- Person Identifier (Local)
- 202384502
- Qualification Level
- Qualification Name
- Department, School or Faculty
- Abstract
- Physics-informed neural networks (PINNs) offer several advantages when compared to traditional numerical methods for solving PDEs, such as being a mesh-free approach and being easily extendable to solving inverse problems. One promising approach for allowing PINNs to scale to multi-scale problems is to combine them with domain decomposition; for example, finite basis physics-informed neural networks (FBPINNs) replace the global PINN network with many localised networks which are summed together to approximate the solution. In this work, we significantly accelerate the training of FBPINNs by linearising their underlying optimisation problem. We achieve this by employing extreme learning machines (ELMs) as their subdomain networks and showing that this turns the FBPINN optimisation problem into one of solving a linear system or least-squares problem.
- Advisor / supervisor
- Dolean, Victorita
- Pestana, Jennifer
- Resource Type
- DOI
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PDF of thesis T18163 | 2026-10-23 | Public | Download |