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Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size [Elektronski vir]Kolar-Požun, Andrej ...When solving partial differential equations on scattered nodes using the Radial Basis Function generated Finite Difference (RBF-FD) method, one of the parameters that must be chosen is the stencil ... size. Focusing on Polyharmonic Spline RBFs with monomial augmentation, we observe that it affects the approximation accuracy in a particularly interesting way - the solution error oscillates under increasing stencil size. We find that we can connect this behaviour with the spatial dependence of the signed approximation error. Based on this observation we are then able to introduce a numerical quantity that indicates whether a given stencil size is locally optimal.Source: Computational Science - ICCS 2023 [Elektronski vir] : 23rd International Conference, Prague, Czech Republic, July 3-5, 2023, Proceedings, Part IV (2023, str. 515-522)Type of material - conference contribution ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 158506499
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Kolar-Požun, Andrej | 56457 |
Jančič, Mitja, strojnik | 52909 |
Rot, Miha | 54704 |
Kosec, Gregor, 1980- | 28366 |
Source: Personal bibliographies
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