Coupling fluid (CFD) and structural (FE) models using finite interpolation elements

By Armin Beckert. 2000

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Multivariate interpolation for fluid-structure-interaction problems using radial basis functions (2001, methodology): “with H| as the transposed of the coupling matrix H . When a coupling matrix H exists that satisfies the equations as mentioned above, it can be used for both, the transformation of the displacements of the structure and as its transposed, for the transformation of the aerodynamic loads [ 2 ,17].”
Kernel techniques: From machine learning to meshless methods (2006, methodology): “This has been done successfully, for example, in a series of papers (Farhat and Lesoinne 1998, Beckert 2000, Beckert and Wendland 2001, Ahrem, Beckert and Wendland 2005) and is already on its way to become an industry standard.”