Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes-Reference-Cited by-同舟云学术

Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes

Published:2016-07-20 Issue:1 Volume:3 Page:
ISSN:2213-7467
Container-title:Advanced Modeling and Simulation in Engineering Sciences
language:en
Short-container-title:Adv. Model. and Simul. in Eng. Sci.

Author:

Salmoiraghi Filippo,Ballarin Francesco,Heltai Luca,Rozza Gianluigi^ORCID

Funder

INDAM-GNCS

PAR FSC UBE

PAR FSC OpenViewShip

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Engineering (miscellaneous),Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1186/s40323-016-0076-6.pdf

Reference61 articles.

1. Hesthaven JS, Rozza G, Stamm B. Certified reduced basis methods for parametrized partial differential equations. SpringerBriefs in mathematics. Berlin: Springer; 2015.

2. Rozza G, Huynh DBP, Patera AT. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Arch Comput Methods Eng. 2008;15:1–47.

3. Christensen EA, Brøns M, Sørensen JN. Evaluation of proper orthogonal decomposition-based decomposition techniques applied to parameter-dependent nonturbulent flows. SIAM J Sci Comput. 1999;21(4):1419–34.

4. Ravindran SS. A reduced-order approach for optimal control of fluids using proper orthogonal decomposition. Int J Numer Methods Fluids. 2000;34:425–48.

5. Kunisch K, Volkwein S. Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. SIAM J Numer Anal. 2002;40(2):492–515.

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