Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework

Wedi'i Gadw mewn:

Manylion Llyfryddiaeth
Cyhoeddwyd yn:	arXiv.org (Aug 24, 2012), p. n/a
Prif Awdur:	Chen, Yanlai
Awduron Eraill:	Gottlieb, Sigal
Cyhoeddwyd:	Cornell University Library, arXiv.org
Pynciau:	Methods Algorithms Galerkin method Collocation methods
Mynediad Ar-lein:	Citation/Abstract Full text outside of ProQuest
Tagiau:	Ychwanegu Tag Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!

Disgrifiad
Crynodeb:	In this paper, we present the first reduced basis method well-suited for the collocation framework. Two fundamentally different algorithms are presented: the so-called Least Squares Reduced Collocation Method (LSRCM) and Empirical Reduced Collocation Method (ERCM). This work provides a reduced basis strategy to practitioners who {prefer} a collocation, rather than Galerkin, approach. Furthermore, the empirical reduced collocation method eliminates a potentially costly online procedure that is needed for non-affine problems with Galerkin approach. Numerical results demonstrate the high efficiency and accuracy of the reduced collocation methods, which match or exceed that of the traditional reduced basis method in the Galerkin framework.
ISSN:	2331-8422
Ffynhonnell:	Engineering Database