期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 90, 期 4, 页码 412-428出版社
WILEY-BLACKWELL
DOI: 10.1002/nme.3327
关键词
empirical interpolation method; hp-EIM; hp-convergence; reduced basis method
资金
- Norwegian University of Science and Technology, University of California, Berkeley
- Lawrence Berkeley National Laboratory
- OSD/AFOSR [FA9550-09-1-0613]
In this paper, we introduce two parameter multi-domain hp techniques for the empirical interpolation method (EIM). In both approaches, we construct a partition of the original parameter domain into parameter subdomains: h-refinement. We apply the standard EIM independently within each subdomain to yield local (in parameter) approximation spaces: p-refinement. Further, for a particularly simple case, we introduce a priori convergence theory for the partition procedure. We show through two numerical examples that our approaches provide significant reduction in the EIM approximation space dimension and thus significantly?reduce the computational cost associated with EIM approximations. Copyright (C) 2012 John Wiley & Sons, Ltd.
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