Isogeometric analysis of diffusion problems on random surfaces
Informazioni aggiuntive
Autori
Huang W.,
Multerer M.
Tipo
Articolo pubblicato in rivista scientifica
Anno
2022
Lingua
Inglese
Sommario
In this article, we discuss the numerical solution of diffusion equations on random surfaces within the isogeometric framework. We describe in detail, how diffusion problems on random surfaces can be modelled and how quantities of interest may be derived. In particular, we employ a low rank approximation algorithm for the high-dimensional space-time correlation of the random solution based on an online singular value decomposition, cp. [7]. Extensive numerical studies are performed to validate the approach. In particular, we con-sider complex computational geometries originating from surface triangulations. The latter can be recast into the isogeometric context by transforming them into quadrangulations using the procedure from [41] and a subsequent approximation by NURBS surfaces.
Parole chiave
Isogeometric analysis, Random surfaces, Space-time correlation, Low rank approximation
Periodico
Applied numerical mathematics
Volume
179
Pagine (o numero dell’articolo)
50-65
Diffusione
Licenza
CC BY
Visibilità
Pubblico
Status open access
Hybrid
