Journal article
ISOGEOMETRIC METHODS FOR KARHUNEN-LOEVE REPRESENTATION OF RANDOM FIELDS ON ARBITRARY MULTIPATCH DOMAINS
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, Vol.11(3), pp.27-57
2021
DOI: 10.1615/Int.J.UncertaintyQuantification.2020035185
Abstract
This paper introduces isogeometric Galerkin and collocation methods for solving the Fredholm integral eigenvalue problem on arbitrary multipatch domains, delivering the Karhunen-Loeve expansion for random field discretization. In both methods, the unknown eigenfunctions are projected onto concomitant finite-dimensional approximation spaces, where nonuniform rational B-splines and analysis-suitable T-splines reside. In the context of isogeometric analysis, the geometry is modeled precisely, and identical basis functions with significant approximating power are employed for modeling the geometry and constructing the approximation spaces. Numerical analyses of two- and three-dimensional engineering problems indicate that the Galerkin- and collocation-derived eigensolutions are both convergent and accurate. However, the collocation method, by eliminating one d-dimensional domain integration in forming the system matrices, produces eigensolutions markedly more economically than the Galerkin method. Highly effective in largescale applications, the isogeometric collocation method imparts a tremendous boost to computational expediency. As a result, subsequent uncertainty quantification analysis of complex engineering structures requiring multipatch geometry representation can now be performed using the proposed methods for random field discretization.
Details
- Title: Subtitle
- ISOGEOMETRIC METHODS FOR KARHUNEN-LOEVE REPRESENTATION OF RANDOM FIELDS ON ARBITRARY MULTIPATCH DOMAINS
- Creators
- R Jahanbin - University of IowaS Rahman - University of Iowa
- Resource Type
- Journal article
- Publication Details
- INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, Vol.11(3), pp.27-57
- DOI
- 10.1615/Int.J.UncertaintyQuantification.2020035185
- ISSN
- 2152-5099
- Language
- English
- Date published
- 2021
- Academic Unit
- Mechanical Engineering; Iowa Technology Institute
- Record Identifier
- 9984239292002771
Metrics
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