Bayesian assimilation of multi-fidelity finite element models

DiazDelaO, F. A. and Adhikari, S. (2012) Bayesian assimilation of multi-fidelity finite element models. Computers and Structures, 92-93, pp. 206-215. (doi: 10.1016/j.compstruc.2011.11.002)

Abstract

A complex system can be modeled using various fidelities with the finite element method. A high-fidelity model is expected to be more computationally expensive compared to a low-fidelity model and in general may contain more degrees of freedom and more elements. This paper proposes a novel multi-fidelity approach to solve boundary value problems using the finite element method. A Bayesian approach based on Gaussian process emulators in conjunction with the domain decomposition method is developed. Using this approach one can seamlessly assimilate a low-fidelity model with a more expensive high-fidelity model. The idea is illustrated using elliptic boundary value problems.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Adhikari, Professor Sondipon
• Authors: DiazDelaO, F. A., and Adhikari, S.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Computers and Structures
• Publisher: Elsevier
• ISSN: 0045-7949
• ISSN (Online): 1879-2243