A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants

被引：157
|
作者：
Huynh, D. B. P. [1 ]
Rozza, G.
Sen, S.
Patera, A. T.
机构：
[1] Natl Univ Singapore, Singapore MIT Alliance, Singapore 117576, Singapore
[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
来源：
COMPTES RENDUS MATHEMATIQUE | 2007年 / 345卷 / 08期
关键词：
D O I：
10.1016/j.crma.2007.09.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
posteriori error analysis of reduced basis approximations to affinely parametrized partial differential equations. The method, based on an Offline-Online strategy relevant in the reduced basis many-query and real-time context, reduces the Online calculation to a small Linear Program: the objective is a parametric expansion of the underlying Rayleigh quotient; the constraints reflect stability information at optimally selected parameter points. Numerical results are presented for coercive elasticity and non-coercive acoustics Helmholtz problems.
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页码：473 / 478
页数：6
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