Stochastic Reduced Basis Methods

Prasanth B. Nair; Andrew J. Keane

doi:10.2514/2.1837

Stochastic Reduced Basis Methods

AIAA Journal ◽

10.2514/2.1837 ◽

2002 ◽

Vol 40 (8) ◽

pp. 1653-1664 ◽

Cited By ~ 94

Author(s):

Prasanth B. Nair ◽

Andrew J. Keane

Keyword(s):

Reduced Basis ◽

Reduced Basis Methods

4 Reduced basis methods

Snapshot-Based Methods and Algorithms ◽

10.1515/9783110671490-004 ◽

2020 ◽

pp. 139-180

Keyword(s):

Reduced Basis ◽

Reduced Basis Methods

Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/17m1163517 ◽

2018 ◽

Vol 6 (4) ◽

pp. 1475-1502 ◽

Cited By ~ 9

Author(s):

Davide Torlo ◽

Francesco Ballarin ◽

Gianluigi Rozza

Keyword(s):

Reduced Basis ◽

Random Inputs ◽

Reduced Basis Methods

Comparison of advanced reduced-basis methods for transient structural analysis

AIAA Journal ◽

10.2514/3.11834 ◽

1993 ◽

Vol 31 (9) ◽

pp. 1712-1719 ◽

Cited By ~ 6

Author(s):

David M. McGowan ◽

Susan W. Bostic

Keyword(s):

Structural Analysis ◽

Reduced Basis ◽

Reduced Basis Methods

Reduced Basis Methods for Fractional Laplace Equations via Extension

SIAM Journal on Scientific Computing ◽

10.1137/18m1204802 ◽

2019 ◽

Vol 41 (6) ◽

pp. A3552-A3575 ◽

Cited By ~ 1

Author(s):

Harbir Antil ◽

Yanlai Chen ◽

Akil Narayan

Keyword(s):

Reduced Basis ◽

Laplace Equations ◽

Reduced Basis Methods

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

10.1007/978-3-319-22470-1 ◽

2016 ◽

Cited By ~ 135

Author(s):

Jan S Hesthaven ◽

Gianluigi Rozza ◽

Benjamin Stamm

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods ◽

Parametrized Partial Differential Equations

Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/140970859 ◽

2015 ◽

Vol 37 (5) ◽

pp. S177-S194 ◽

Cited By ~ 7

Author(s):

Howard C. Elman ◽

Virginia Forstall

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Preconditioning Techniques ◽

Reduced Basis Methods

Convergence Rates for Greedy Algorithms in Reduced Basis Methods

SIAM Journal on Mathematical Analysis ◽

10.1137/100795772 ◽

2011 ◽

Vol 43 (3) ◽

pp. 1457-1472 ◽

Cited By ~ 148

Author(s):

Peter Binev ◽

Albert Cohen ◽

Wolfgang Dahmen ◽

Ronald DeVore ◽

Guergana Petrova ◽

...

Keyword(s):

Convergence Rates ◽

Greedy Algorithms ◽

Reduced Basis ◽

Reduced Basis Methods

Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.11.004 ◽

2005 ◽

Vol 55 (4) ◽

pp. 403-424 ◽

Cited By ~ 19

Author(s):

Gianluigi Rozza

Keyword(s):

Error Bounds ◽

Elliptic Equations ◽

Posteriori Error ◽

A Posteriori ◽

Reduced Basis ◽

A Posteriori Error ◽

Reduced Basis Methods ◽

A Posteriori Error Bounds

Statistical Analysis of the Forced Response of Mistuned Bladed Disks Using Stochastic Reduced Basis Methods

43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference ◽

10.2514/6.2002-1534 ◽

2002 ◽

Cited By ~ 2

Author(s):

Mamadou Bah ◽

Prasanth Nair ◽

Atul Bhaskar ◽

Andy Keane

Keyword(s):

Statistical Analysis ◽

Forced Response ◽

Reduced Basis ◽

Bladed Disks ◽

Reduced Basis Methods

Reduced basis methods for optimization of nano-photonic devices

2015 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD) ◽

10.1109/nusod.2015.7292871 ◽

2015 ◽

Author(s):

Sven Burger ◽

Martin Hammerschmidt ◽

Sven Herrmann ◽

Jan Pomplun ◽

Frank Schmidt

Keyword(s):

Photonic Devices ◽

Reduced Basis ◽

Reduced Basis Methods