| 000 | 04760nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-75011-8 | ||
| 003 | DE-He213 | ||
| 005 | 20181204134419.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 180329s2017 gw | s |||| 0|eng d | ||
| 020 |
_a9783319750118 _9978-3-319-75011-8 |
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| 024 | 7 |
_a10.1007/978-3-319-75011-8 _2doi |
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| 040 | _aISI Library, Kolkata | ||
| 050 | 4 | _aQA71-90 | |
| 072 | 7 |
_aPDE _2bicssc |
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_aCOM014000 _2bisacsh |
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_aPDE _2thema |
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| 082 | 0 | 4 |
_a004 _223 |
| 100 | 1 |
_aBiancolini, Marco Evangelos. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aFast Radial Basis Functions for Engineering Applications _h[electronic resource] / _cby Marco Evangelos Biancolini. |
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017. |
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| 300 |
_aXIV, 358 p. 316 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aIntroduction -- Fast RBF for Engineering Applications -- Radial Basis Functions -- RBF Tools -- Can I Benefit of RBF? Guidelines -- Examples -- A CFD Shape Optimization Approach Based on Mesh Morphing and RBF Response Surface Method -- Radial Basis Functions for the Interpolation of Hemodynamics Flow Pattern: A Quantitative Analysis -- Radial Basis Functions for the Image Analysis of Deformations -- A New Workflow for Patient Specific Image-based Hemodynamics: Parametric Study of the Carotid Bifurcation -- Conclusions. | |
| 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 | 0 | _aComputer science. | |
| 650 | 0 | _aComputer software. | |
| 650 | 0 | _aMechanical engineering. | |
| 650 | 1 | 4 |
_aComputational Science and Engineering. _0http://scigraph.springernature.com/things/product-market-codes/M14026 |
| 650 | 2 | 4 |
_aAlgorithm Analysis and Problem Complexity. _0http://scigraph.springernature.com/things/product-market-codes/I16021 |
| 650 | 2 | 4 |
_aStructural Mechanics. _0http://scigraph.springernature.com/things/product-market-codes/T15028 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319750095 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319750101 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-75011-8 |
| 912 | _aZDB-2-SMA | ||
| 942 | _cEB | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c427127 _d427127 |
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