Speaker: Dr. Hadi Meidani
University of Illinois at Urbana-Champaign
Title: An Introduction to Uncertainty Quantification Techniques
Local Organizer: Dr. Mehdi Ahmadizadeh
Time: Saturday, April 23, 2016, 10:30- 12:00
Location: Department of Civil Engineering, Sharif University of Technology
Optimal management of complex engineering systems, such as infrastructure systems, depends on reliable predictive modeling for these systems. With the recent advances in sensor technology and supercomputing capabilities, these predictive models can incorporate high dimensional numerical models together with observation data, to provide unprecedented insights on how complex systems behave. Today, the issue of uncertainties relevant to the erroneous numerical models and noisy observation is of great interest to the scientific community. As a result, Uncertainty Quantification (UQ) has become a scientific field with growing importance, in the decade, focusing on how uncertainties in inputs and outputs of large scale complex models are quantified. Among the widely used approaches in UQ, Polynomial Chaos (PC) has been successfully applied in a wide spectrum of physical systems. In this talk, an introduction to the PC methodology is presented, and its application to forward analysis and also inverse problems in partial differential equations are demonstrated. Engineering examples include accelerated Bayesian parameter estimation for coarse-grained molecular models and stochastic modal decomposition of structural dynamics. We will also briefly discuss other research works currently being conducted at the UQ Group at UIUC.