000			a
999			_c33041 _d33041
008			240319b xxu||||| |||| 00| 0 eng d
020			_a9783030091279
082			_a511 _bBIA
100			_aBiancolini, Marco Evangelos
245			_aFast radial basis functions for engineering applications
260			_bSpringer, _c2017 _aCham :
300			_axiv, 358 p. ; _bill., _c24 cm.
365			_b84.99 _c€ _d93.50
504			_aIncludes bibliographical references.
520			_aThis book presents the first “How To” guide to the use of radial basis functions (RBF). It provides a clear vision of their potential, an overview of ready-for-use computational tools and precise guidelines to implement new engineering applications of RBF. Radial basis functions (RBF) are a mathematical tool mature enough for useful engineering applications. Their mathematical foundation is well established and the tool has proven to be effective in many fields, as the mathematical framework can be adapted in several ways. A candidate application can be faced considering the features of RBF: multidimensional space (including 2D and 3D), numerous radial functions available, global and compact support, interpolation/regression. This great flexibility makes RBF attractive – and their great potential has only been partially discovered. This is because of the difficulty in taking a first step toward RBF as they are not commonly part of engineers’ cultural background, but also due to the numerical complexity of RBF problems that scales up very quickly with the number of RBF centers. Fast RBF algorithms are available to alleviate this and high-performance computing (HPC) can provide further aid. Nevertheless, a consolidated tradition in using RBF in engineering applications is still missing and the beginner can be confused by the literature, which in many cases is presented with language and symbolisms familiar to mathematicians but which can be cryptic for engineers. The book is divided in two main sections. The first covers the foundations of RBF, the tools available for their quick implementation and guidelines for facing new challenges; the second part is a collection of practical RBF applications in engineering, covering several topics, including response surface interpolation in n-dimensional spaces, mapping of magnetic loads, mapping of pressure loads, up-scaling of flow fields, stress/strain analysis by experimental displacement fields, implicit surfaces, mesh to cad deformation, mesh morphing for crack propagation in 3D, ice and snow accretion using computational fluid dynamics (CFD) data, shape optimization for external aerodynamics, and use of adjoint data for surface sculpting. For each application, the complete path is clearly and consistently exposed using the systematic approach defined in the first section.
650			_aRadial basis functions
650			_aAdvanced Numerical Methods
650			_aHigh Performance Computing
650			_aInterpolar
650			_aAerofoil
650			_aCAD model
650			_aImplicit surface
650			_aOpenFOAM
650			_aRBF Morph
650			_aShape optimization
650			_aSource points
650			_avon Mises stress
942			_2ddc _cBK