Isogeometric analysis of diffusion problems on random surfaces
Additional information
Authors
Huang W.,
Multerer M.
Type
Journal Article
Year
2022
Language
English
Abstract
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.
Keywords
Isogeometric analysis, Random surfaces, Space-time correlation, Low rank approximation
Journal
Applied numerical mathematics
Volume
179
Pages (or article number)
50-65
Diffusion
License
CC BY
Visibility
Public
Status open access
Hybrid
