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SUMMARY:The Statistical Finite Element Method - Prof. Mark Girolami\, Sir 
 Kirby Laing Chair of Civil Engineering\, CUED
DTSTART:20190517T130000Z
DTEND:20190517T140000Z
UID:TALK123550@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:The finite element method (FEM) is one of the great triumphs o
 f modern day applied mathematics\, numerical analysis and software develop
 ment. Every area of the sciences and engineering has been positively impac
 ted by the ability to model and study complex physical and natural systems
  described by systems of partial differential equations (PDE) via the FEM.
 \n\nIn parallel the recent developments in sensor\, measurement\, and sign
 alling technologies enables the phenomenological study of systems as diver
 se as protein  signalling in the cell\, to turbulent combustion in jet eng
 ines\, to plastic deformation in bridges. \n\nThe connection between senso
 r data and FEM is currently restricted to data assimilation for solving in
 verse problems or the calibration of  PDE based models. This however place
 s unwarranted faith in the fidelity of the underlying mathematical descrip
 tion of the actual system under study. If one concedes that there is ‘mi
 ssing physics’ or mis-specification between generative reality and the m
 athematical abstraction defining the FEM then a framework to systematicall
 y characterise and propagate this uncertainty in FEM is required.\n\nThis 
 talk will present a formal statistical construction of the FEM which syste
 matically blends both mathematical description with observational data and
  provides both small and large scale examples from 3D printed structures t
 o working rail bridges currently operated by Network Rail.
LOCATION:LT6\, Baker Building\, CUED
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