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Multifidelity adaptive kriging metamodel based on discretization error bounds
Author(s) -
Mell L.,
Rey V.,
Schoefs F.
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6451
Subject(s) - metamodeling , discretization , computation , kriging , polygon mesh , finite element method , computer science , mathematical optimization , reliability (semiconductor) , algorithm , mathematics , structural engineering , engineering , machine learning , power (physics) , mathematical analysis , physics , computer graphics (images) , quantum mechanics , programming language
Summary This article presents an approach to build a multifidelity kriging metamodel from finite element computations on different meshes for stuctural reliability assessment. The proposed method takes advantage of the computation of bounds on the discretization error, which enables to guarantee the state (safe or failure) of each computation of the performance function. An algorithm to build the metamodel from the different levels of fidelity and estimate the failure probability is provided. Illustrations are presented on a two dimensional mechanical crack opening problem. Bounds on the failure probability are also post‐processed.