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Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework

Guardado en:
Publicado en:arXiv.org (Aug 24, 2012), p. n/a
Autor principal: Chen, Yanlai
Otros Autores: Gottlieb, Sigal
Publicado:
Cornell University Library, arXiv.org
Materias:
Methods
Algorithms
Galerkin method
Collocation methods
Acceso en línea:Citation/Abstract
Full text outside of ProQuest
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022 |a 2331-8422 
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045 0 |b d20120824 
100 1 |a Chen, Yanlai 
245 1 |a Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework 
260 |b Cornell University Library, arXiv.org  |c Aug 24, 2012 
513 |a Working Paper 
520 3 |a 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. 
653 |a Methods 
653 |a Algorithms 
653 |a Galerkin method 
653 |a Collocation methods 
700 1 |a Gottlieb, Sigal 
773 0 |t arXiv.org  |g (Aug 24, 2012), p. n/a 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/2086693715/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full text outside of ProQuest  |u http://arxiv.org/abs/1201.4188