New Applications of the Theory of Functional Connections

Details:

Faculty Member: Daniele Mortari

Department: Department of Aerospace Engineering

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

1. TFC for boundary geodesic problems.
2. TFC as a mapping tool.
3. TFC for continuous integral constraints.
4. TFC for minimum parameterization.
5. TFC for fractional calculus.
6. TFC for geometric algebra (if possible).