Bijective mapping analysis to extend the theory of functional connections to non-rectangular 2-dimensional domains

This work presents an initial analysis of using bijective mappings to extend the Theory of Functional Connections to non-rectangular two-dimensional domains. Specifically, this manuscript proposes three different mappings techniques: (a) complex mapping, (b) the projection mapping, and (c) polynomia...

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Bibliographic Details
Main Authors: Mortari, Daniele, Arnas, David
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Published: Multidisciplinary Digital Publishing Institute 2020
Online Access:https://hdl.handle.net/1721.1/127824