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Quantification of uncertainties in a distributed parameter system using the generalized polynomial chaos expansion

: Janya-anurak, C.

Volltext urn:nbn:de:0011-n-3262680 (704 KByte PDF)
MD5 Fingerprint: 575e1301c0eacf1fdff0f6fd30cde4ad
Erstellt am: 11.2.2015

Beyerer, Jürgen (Ed.); Pak, Alexey (Ed.):
Joint Workshop of Fraunhofer IOSB and Institute for Anthropomatics, Vision and Fusion Laboratory 2013. Proceedings : July, 21 - 27, 2013, Triberg-Nussbach in Germany
Karlsruhe: KIT Scientific Publishing, 2014 (Karlsruher Schriften zur Anthropomatik 17)
ISBN: 978-3-7315-0212-8
ISBN: 3-7315-0212-7
DOI: 10.5445/KSP/1000040668
Fraunhofer Institute of Optronics, System Technologies and Image Exploitation and Institute for Anthropomatics, Vision and Fusion Laboratory (Joint Workshop) <2013, Triberg-Nussbach>
Konferenzbeitrag, Elektronische Publikation
Fraunhofer IOSB ()

In many fields, active research is currently focused on quantification and simulation of model uncertainties. The latter are often described probabilistically, allowing for the accurate and detailed answers but necessitating extensive computations. Recently, the generalized polynomial chaos expansion (gPCE) has been proposed as an efficient approach to stochastic computing. In this report, we introduce the mathematical background of gPCE applied to a system described with partial differential equations (PDEs). The potential further benefits of gPCE are discussed and illustrated with synthetic examples.