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A hybrid stochastic domain decomposition method for partial differential equations with localised possibly rough random data
Author(s) -
Gruhlke Robert,
Eigel Martin,
Hömberg Dietmar,
Drieschner Martin,
Petryna Yuri
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800434
Subject(s) - polynomial chaos , domain decomposition methods , mathematics , galerkin method , domain (mathematical analysis) , stochastic process , rotor (electric) , decomposition , finite element method , process (computing) , stochastic differential equation , computer science , mathematical optimization , mathematical analysis , structural engineering , monte carlo method , engineering , mechanical engineering , ecology , statistics , biology , operating system
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).