Fast RBF

Marco Evangelos Biancolini ()
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Marco Evangelos Biancolini: University of Rome “Tor Vergata”, Department of Enterprise Engineering “Mario Lucertini”

Chapter Chapter 3 in Fast Radial Basis Functions for Engineering Applications, 2017, pp 35-62 from Springer

Abstract: Abstract Fast RBF foundation concepts are described in this chapter. Details are provided for an effective usage of the direct method using advanced linear algebra strategies and libraries. Methods for data compression which allow to represent the same information with a smaller and less expensive cloud are introduced. Space localization methods are successively considered firstly with compact supported RBF, whose interaction distance is limited in the RBF function itself, and then with partition of unity (POU) that consists of the superposition and blending of smaller clouds. Approximated evaluation of the far field of full supported RBF is described and an overview of the fast multipole method (FMM) is given. Information about iterative solvers and parallel computing are finally provided to complete the chapter.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-75011-8_3

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DOI: 10.1007/978-3-319-75011-8_3

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