Application of local improvements to reduced-order models to sampling methods for nonlinear PDEs with noise

DOI10.1080/00207160.2017.1299861zbMath1499.65590OpenAlexW2596028806MaRDI QIDQ5026486

Maziar Raissi, Padmanabhan Seshaiyer

Publication date: 8 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1299861

zbMATH Keywords

finite elementssensitivity analysisproper orthogonal decompositionsparse gridstochastic Burgers equationstochastic collocation methodMonte-Carlomulti-fidelity model reduction

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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