Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Mapping Intimacies ◽

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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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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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 ◽

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

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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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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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Space-Time Reduced Basis Methods for Time-Periodic Partial Differential Equations

IFAC Proceedings Volumes ◽

10.3182/20120215-3-at-3016.00126 ◽

2012 ◽

Vol 45 (2) ◽

pp. 710-715 ◽

Author(s):

Kristina Steih ◽

Karsten Urban

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods ◽

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On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0194-9 ◽

2016 ◽

Vol 69 (1) ◽

pp. 292-313 ◽

Author(s):

Jan S. Hesthaven ◽

Shun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods

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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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Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen--Loève Expansion

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/120876745 ◽

2013 ◽

Vol 1 (1) ◽

pp. 79-105 ◽

Author(s):

Bernard Haasdonk ◽

Karsten Urban ◽

Bernhard Wieland

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Reduced Basis ◽

Partial Differential ◽

Reduced Basis Methods

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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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