Multifidelity adaptive kriging metamodel based on discretization error bounds

This paper presents an approach to build a multi-fidelity 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 dis-cretization error, which enables to guarantee the state (safe or failure) of each computation of the performance function. An algorithm to build the meta-model 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.