Theory of Functional Connections Subject to Shear-Type and Mixed Derivatives Academic Article

abstract

• This study extends the functional interpolation framework, introduced by the Theory of Functional Connections, initially introduced for functions, derivatives, integrals, components, and any linear combination of them, to constraints made of shear-type and/or mixed derivatives. The main motivation comes from differential equations, often appearing in fluid dynamics and structures/materials problems that are subject to shear-type and/or mixed boundary derivatives constraints. This is performed by replacing these boundary constraints with equivalent constraints, obtained using indefinite integrals. In addition, this study also shows how to validate the constraints consistency when the problem involves the unknown constants of integrations generated by indefinite integrations.

authors

• Mortari, Daniele

published proceedings

• MATHEMATICS

author list (cited authors)

• Mortari, D.

citation count

• 0

complete list of authors

• Mortari, Daniele

publication date

• January 2022

publisher

• MDPI  Publisher

published in

• MATHEMATICS  Journal

keywords

• Differential Equations
• Functional Interpolation
• Numerical Methods

Digital Object Identifier (DOI)

• 10.3390/math10244692

start page

• 4692

end page

• 4692

volume

• 10

issue

• 24

URL

• http://dx.doi.org/10.3390/math10244692