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dc.contributor.authorLindner, Florian
dc.contributor.authorMehl, Miriam
dc.contributor.authorUekermann, Benjamin
dc.date.accessioned2020-06-08T15:27:01Z
dc.date.available2020-06-08T15:27:01Z
dc.date.issued2017
dc.identifier.isbn978-84-946909-2-1
dc.identifier.urihttp://hdl.handle.net/2117/190255
dc.description.abstractInterpolation 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.extent12 p.
dc.language.isoeng
dc.publisherCIMNE
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject.lcshFinite element method
dc.subject.lcshCoupled problems (Complex systems) -- Numerical solutions
dc.subject.otherInterpolation, Coupled Problems, Multiphysics Problems, Applications, Computing Methods, Radial Basis Functions
dc.titleRadial basis function interpolation for black-box multi-physics simulations
dc.typeConference report
dc.subject.lemacElements finits, Mètode dels
dc.rights.accessOpen Access
local.citation.contributorCOUPLED VII
local.citation.startingPage50
local.citation.endingPage61


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