Optimal Physics-Informed Bases for High-Dimensional Evolutionary Systems
Abstract
The overarching objective of this proposal is to develop a mathematical framework to extract and exploit the multi-dimensional correlations on-the-fly from the PDE. The correlated structures are expressed as a set of orthonormal bases, for which closed-from evolution equations will be derived. This amounts to a real-time model-driven tensor decomposition of the PDE and has the potential to mitigate the curse of dimensionality. We will develop this framework for high-dimensional problems encountered in fluid dynamics and combustion.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 21, 2022
- Source ID
- FA95502110247XX0
Entities
People
- Hessameddin Babaee
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Pittsburgh