Jonas Biehler, Markus Mäck, Jonas Nitzler, Michael Hanss, Phaedon-Stelios Koutsourelakis, Wolfgang A. Wall
{"title":"不确定度量化的多保真度方法","authors":"Jonas Biehler, Markus Mäck, Jonas Nitzler, Michael Hanss, Phaedon-Stelios Koutsourelakis, Wolfgang A. Wall","doi":"10.1002/gamm.201900008","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"42 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/gamm.201900008","citationCount":"12","resultStr":"{\"title\":\"Multifidelity approaches for uncertainty quantification\",\"authors\":\"Jonas Biehler, Markus Mäck, Jonas Nitzler, Michael Hanss, Phaedon-Stelios Koutsourelakis, Wolfgang A. Wall\",\"doi\":\"10.1002/gamm.201900008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":53634,\"journal\":{\"name\":\"GAMM Mitteilungen\",\"volume\":\"42 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1002/gamm.201900008\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"GAMM Mitteilungen\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/gamm.201900008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"GAMM Mitteilungen","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/gamm.201900008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
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.