期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 86, 期 3, 页码 381-402出版社
WILEY
DOI: 10.1002/nme.3074
关键词
proper orthogonal decomposition; model reduction; sensitivity analysis; goal-oriented; static systems
资金
- National Science Foundation [0540419]
- National Defense Science and Engineering
- King Abdullah University of Science and Technology (KAUST)
- Stanford University
- Motor Sports Division of the Toyota Motor Corporation [48737]
- Division Of Computer and Network Systems
- Direct For Computer & Info Scie & Enginr [0540419] Funding Source: National Science Foundation
A novel model reduction technique for static systems is presented. The method is developed using a goal-oriented framework, and it extends the concept of snapshots for proper orthogonal decomposition (POD) to include (sensitivity) derivatives of the state with respect to system input parameters. The resulting reduced-order model generates accurate approximations due to its goal-oriented construction and the explicit 'training' of the model for parameter changes. The model is less computationally expensive to construct than typical POD approaches, since efficient multiple right-hand side solvers can be used to compute the sensitivity derivatives. The effectiveness of the method is demonstrated on a parameterized aerospace structure problem. Copyright (C) 2010 John Wiley & Sons, Ltd.
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