A combination between the reduced basis method and the ANOVA expansion: on the computation of sensitivity indices
DOI10.1016/J.CRMA.2013.07.023zbMath1279.65137OpenAlexW2113283276MaRDI QIDQ384087
Denis Devaud, Andrea Manzoni, Gianluigi Rozza
Publication date: 26 November 2013
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2013.07.023
numerical exampleselliptic equationsreduced basis methodanalysis of variations expansionreduction of parameter dimensionalitythree-step RB-ANOVA-RB method
Nonlinear elliptic equations (35J60) Numerical methods for partial differential equations, boundary value problems (65N99)
Cites Work
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- On ANOVA expansions and strategies for choosing the anchor point
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Certified reduced basis approximation for parametrized partial differential equations and applications
- Parameter multi-domain ‘hp ’ empirical interpolation
- An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
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