Data-Driven Model Reduction, Scientific Frontiers, and Applications ()
- Texas A&M University
- College Station, TX
- Joe C. Richardson Petroleum Engineering Building (RICH) 910
Daniele Mortari, Department of Aerospace Engineering
New Applications of the Theory of Functional Connections
Abstract
The Theory of Functional Connections (TFC) was devised at Texas A&M just 8 years ago. This linear theory generalizes interpolation. Since 2016 several applications of TFC were found, mostly in differential equations and constrained optimization problems. After a brief summary of TFC, this talk shows the key points of some recent applications. These are
- TFC for boundary geodesic problems.
- TFC as a mapping tool.
- TFC for continuous integral constraints.
- TFC for minimum parameterization.
- TFC for fractional calculus.
- TFC for geometric algebra (if possible).