Certified reduced basis approximation for parametrized partial differential equations and applications

Journal of Mathematics in Industry ◽

10.1186/2190-5983-1-3 ◽

2011 ◽

Vol 1 (1) ◽

pp. 3 ◽

Author(s):

Alfio Quarteroni ◽

Gianluigi Rozza ◽

Andrea Manzoni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

10.1007/978-3-319-22470-1 ◽

2016 ◽

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

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Reduced basis approximation for parametrized partial differential equations

Numerical Models for Differential Problems ◽

10.1007/978-88-470-1071-0_18 ◽

2009 ◽

pp. 547-579

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Reduced basis approximation for parametrized partial differential equations

Numerical Models for Differential Problems ◽

10.1007/978-88-470-5522-3_19 ◽

2014 ◽

pp. 585-633

Author(s):

Alfio Quarteroni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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A reduced basis Kalman filter for parametrized partial differential equations

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2015019 ◽

2016 ◽

Vol 22 (3) ◽

pp. 625-669 ◽

Author(s):

Markus Dihlmann ◽

Bernard Haasdonk

Keyword(s):

Kalman Filter ◽

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Reduced basis approximation for parametrized partial differential equations

Numerical Models for Differential Problems - MS&A ◽

10.1007/978-3-319-49316-9_20 ◽

2017 ◽

pp. 613-661

Author(s):

Alfio Quarteroni

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Parameter Space: The Final Frontier. Certified Reduced Basis Methods for Real-Time Reliable Solution of Parametrized Partial Differential Equations

10.21236/ada467167 ◽

2007 ◽

Author(s):

Anthony T. Patera

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Real Time ◽

Parameter Space ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods ◽

Parametrized Partial Differential Equations ◽

Reliable Solution

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On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2012016 ◽

2012 ◽

Vol 46 (6) ◽

pp. 1555-1576 ◽

Author(s):

Toni Lassila ◽

Andrea Manzoni ◽

Gianluigi Rozza

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Reduced Collocation Method for Time-Dependent Parametrized Partial Differential Equations

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-019-00210-w ◽

2019 ◽

Vol 45 (5) ◽

pp. 1487-1504 ◽

Author(s):

Rezvan Ghaffari ◽

Farideh Ghoreishi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Time Dependent ◽

Partial Differential ◽

Parametrized Partial Differential Equations

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Weighted Reduced Order Methods for Parametrized Partial Differential Equations with Random Inputs

Uncertainty Modeling for Engineering Applications - PoliTO Springer Series ◽

10.1007/978-3-030-04870-9_2 ◽

2018 ◽

pp. 27-40 ◽

Author(s):

Luca Venturi ◽

Davide Torlo ◽

Francesco Ballarin ◽

Gianluigi Rozza

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Random Inputs ◽

Reduced Order ◽

Parametrized Partial Differential Equations ◽

Reduced Order Methods

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3D-VAR for parameterized partial differential equations: a certified reduced basis approach

Advances in Computational Mathematics ◽

10.1007/s10444-019-09713-w ◽

2019 ◽

Vol 45 (5-6) ◽

pp. 2369-2400

Author(s):

Nicole Aretz-Nellesen ◽

Martin A. Grepl ◽

Karen Veroy

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential

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