不确定度量化的多保真度方法

Q1 Mathematics
Jonas Biehler, Markus Mäck, Jonas Nitzler, Michael Hanss, Phaedon-Stelios Koutsourelakis, Wolfgang A. Wall
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引用次数: 12

摘要

本文的目的是概述不同的多保真度不确定性量化(UQ)方案。因此,从频率论、贝叶斯和可能性的角度提供了对多保真度UQ方法的不同观点,并讨论了最近的发展。强调了这些方法之间的异同,并解释了构建低保真模型的策略。此外,还提供了两个最先进的示例,以展示这些方法的功能以及使用这些方法时可以实现的计算成本的巨大降低。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multifidelity approaches for uncertainty quantification

The aim of this paper is to give an overview of different multifidelity uncertainty quantification (UQ) schemes. Therefore, different views on multifidelity UQ approaches from a frequentist, Bayesian, and possibilistic perspective are provided and recent developments are discussed. Differences as well as similarities between the methods are highlighted and strategies to construct low-fidelity models are explained. In addition, two state-of-the-art examples to showcase the capabilities of these methods and the tremendous reduction of computational costs that can be achieved when using these approaches are provided.

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来源期刊
GAMM Mitteilungen
GAMM Mitteilungen Mathematics-Applied Mathematics
CiteScore
8.80
自引率
0.00%
发文量
23
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