A hybrid stochastic domain decomposition method for partial differential equations with localised possibly rough random data. Issue 1 (17th December 2018)

• Record Type: Journal Article
• Authors: Gruhlke, Robert; Eigel, Martin; Hömberg, Dietmar; Drieschner, Martin; Petryna, Yuri
• Other Names: Müller G. guestEditor.; Ulbrich M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 18:Issue 1(2018)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2018-12-17
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201800434
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: The presence of air voids in adhesive bonds, possible introduced in a manufacturing process, is regarded as one main reason for failure of rotor blades. Building up a model for material with random inclusion, we numerically solve for it with the help of domain decomposition techniques. This introduces a hybrid method which combines advantages of sampling and stochastic Galerkin strategies based on generalized multi‐element polynomial chaos expansion (gHPCE).