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Stochastic finite integration technique for magnetostatic problems
Author(s) -
Codecasa Lorenzo,
Di Rienzo Luca
Publication year - 2016
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2209
Subject(s) - polynomial chaos , monte carlo method , computer science , basis (linear algebra) , algorithm , polynomial , mathematical optimization , mathematics , mathematical analysis , geometry , statistics
Both nonintrusive and intrusive stochastic approaches on the basis of polynomial chaos expansion are presented for the finite integration technique over generic polyhedral grids for 3D magnetostatic linear problems. Such algorithms outperform Monte Carlo methods (when the number of random parameters is small), both in accuracy and efficiency. A novel algorithm for the intrusive approach is also provided, by which the intrusive approach becomes less computationally expensive than the nonintrusive approach. Validation is performed by solving a magnetic circuit where the reluctivity is uncertain.