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Radial basis function interpolation for black-box multi-physics simulations
dc.contributor.author | Lindner, Florian |
dc.contributor.author | Mehl, Miriam |
dc.contributor.author | Uekermann, Benjamin |
dc.date.accessioned | 2020-06-08T15:27:01Z |
dc.date.available | 2020-06-08T15:27:01Z |
dc.date.issued | 2017 |
dc.identifier.isbn | 978-84-946909-2-1 |
dc.identifier.uri | http://hdl.handle.net/2117/190255 |
dc.description.abstract | Interpolation based on radial basis functions (RBF) is a standard data map- ping method used in multi-physics coupling. It works on scattered data without requiring additional mesh topology or neighborhood information of support points. However, sys- tem matrices of the equations for the coefficients tend to be ill-conditioned. In this work, we illustrate the problem by a simple example and discuss possible remedies. Furthermore, we investigate the numerical performance of this method on uniform and non-uniform meshes with a particular focus on the coupling of black-box components where typically no information about the underlying discretization can be extracted. Radial basis func- tion interpolation usually uses an enhancement of the radial basis functions by a global polynomial in order to properly capture constant components and linear trends in the given data. We present a method that determines this polynomial independent from the radial basis function ansatz, which substantially improves the condition number of the remaining RBF system. Furthermore, we show that a rescaling approach can be used to either increase the accuracy or improve the condition number even further by choosing radial basis functions with a smaller support radius. The results represent an intermediate state with the aim to be integrated into the multi-physics coupling library preCICE. |
dc.format.extent | 12 p. |
dc.language.iso | eng |
dc.publisher | CIMNE |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Finite element method |
dc.subject.lcsh | Coupled problems (Complex systems) -- Numerical solutions |
dc.subject.other | Interpolation, Coupled Problems, Multiphysics Problems, Applications, Computing Methods, Radial Basis Functions |
dc.title | Radial basis function interpolation for black-box multi-physics simulations |
dc.type | Conference report |
dc.subject.lemac | Elements finits, Mètode dels |
dc.rights.access | Open Access |
local.citation.contributor | COUPLED VII |
local.citation.startingPage | 50 |
local.citation.endingPage | 61 |