Dimensionality reduction of parameter-dependent problems through proper orthogonal decomposition

DOI10.4310/AMSA.2016.v1.n2.a4zbMath1381.65005OpenAlexW2491500699MaRDI QIDQ679625

Andrea Manzoni, Federico Negri, Alfio M. Quarteroni

Publication date: 19 January 2018

Published in: Annals of Mathematical Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/amsa.2016.v1.n2.a4

zbMATH Keywords

inverse problemsproper orthogonal decompositionreduced order modelingPDE-constrained optimizationreduced basis methodsKarhunen-Loève expansionempirical interpolation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Existence theories for optimal control problems involving partial differential equations (49J20) Existence of optimal solutions to problems involving randomness (49J55)

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