Efficient domain decomposition based reliability analysis for polymorphic uncertain material parameters. Issue 1 (14th December 2021)

• Record Type: Journal Article
• Authors: Schmidt, Albrecht; Lahmer, Tom
• Editors: Kaliske, M.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 21:Issue 1(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-12-14
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.202100014
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: Realistic uncertainty description incorporating aleatoric and epistemic uncertainties can be described within the framework of polymorphic uncertainty, which is computationally demanding. Utilizing a domain decomposition approach for random field based uncertainty models the proposed level‐based sampling method can reduce these computational costs significantly and shows good agreement with a standard sampling technique. While 2‐level configurations tend to get unstable with decreasing sampling density 3‐level setups show encouraging results for the investigated reliability analysis of a structural unit square.