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Non-linear model reduction for uncertainty quantification in large-scale inverse problems

Author
GALBALLY, D1 ; FIDKOWSKI, K2 ; WILLCOX, K3 ; GHATTAS, O4
[1] Iberdrola, Madrid 28033, Spain
[2] University of Michigan, 1320 Beal Avenue, 3029 François-Xavier Bagnoud Building, Ann Arbor, MI 48109, United States
[3] Massachusetts Institute of Technology, Cambridge, MA 02139, United States
[4] University of Texas, Austin, TX 78712, United States
Source

International journal for numerical methods in engineering. 2010, Vol 81, Num 12, pp 1581-1608, 28 p ; ref : 32 ref

CODEN
IJNMBH
ISSN
0029-5981
Scientific domain
Geology; Mathematics; Mechanics acoustics; Physics
Publisher
Wiley, Chichester
Publication country
United Kingdom
Document type
Article
Language
English
Author keyword
Bayesian inference advection-diffusion-reaction PDE inverse problems non-linear model reduction
Keyword (fr)
Analyse statistique Approche probabiliste Chaîne Markov Effet non linéaire Equation advection diffusion Equation dérivée partielle Equation réaction diffusion Estimation Bayes Modèle linéaire Modélisation Méthode Monte Carlo Méthode projection Méthode réduction Méthode élément fini Problème direct Problème inverse Réduction système Système incertain Système ordre réduit
Keyword (en)
Statistical analysis Probabilistic approach Markov chain Non linear effect Advection diffusion equation Partial differential equation Reaction diffusion equation Bayes estimation Linear model Modeling Monte Carlo method Projection method Reduction method Finite element method Direct problem Inverse problem System reduction Uncertain system Reduced order systems
Keyword (es)
Análisis estadístico Enfoque probabilista Cadena Markov Efecto no lineal Ecuación advección difusión Ecuación derivada parcial Ecuación reacción difusión Estimación Bayes Modelo lineal Modelización Método Monte Carlo Método proyección Método reducción Método elemento finito Problema directo Problema inverso Reducción sistema Sistema incierto
Classification
Pascal
001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E08 Partial differential equations

Pascal
001 Exact sciences and technology / 001B Physics / 001B40 Fundamental areas of phenomenology (including applications) / 001B40G Fluid dynamics / 001B40G10 General theory

Discipline
Mathematics Physics : fluid mechanics
Origin
Inist-CNRS
Database
PASCAL
INIST identifier
22362499

Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS

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