报告题目: Efficient numerical methods for uncertainty quantification with imprecise probabilities, Part A and Part B

报 告 人：Michael Beer，德国汉诺威莱布尼兹大学教授，中国国家外国专家局高端外国专家

主 持 人：彭勇波教授

时    间：2021年12月07日（星期二）15:00 - 16:00 P.M. （Lecture A）

             2021年12月14日（星期二）15:00 - 16:00 P.M.（Lecture B）

地    点：Zoom线上12月7日会议号:886 780 09217（密码:719585）

              Zoom线上12月14日会议号:817 198 59673（密码:142603）

报告内容：

An efficient analysis of our engineered systems and structures is a key requirement for their proper design and operation. This requirement, however, is challenging engineers to come up with innovative solutions that can cope with the increasing complexity of our systems and structures and with the uncertainties involved. Imprecise probabilities have shown useful conceptual features to facilitate a modelling at a reasonable level of detail and capturing the remaining epistemic uncertainty in a set-valued manner. This approach allows for an optimal balance between model detailedness and imprecision of results to still derive useful decisions. However, it is also associated with some extensive numerical cost when applied in a crude way. This seminar will provide selected solutions for efficient numerical analysis with imprecise probabilities, specifically for reliability analysis, to attack high-dimensional and nonlinear problems. After an introductory overview on conceptual pathways for solution one intrusive and three non-intrusive specific developments will be discussed. These solutions include operator norm theory to solve first passage problems by linear algebra, intervening variables to moderate nonlinearities for linearized approximate solutions, the exploitation of topological properties of the reliability problem associated with line sampling, and the utilization of high dimensional model representation of the failure probability for non-intrusive efficient sampling. Engineering examples are presented to demonstrate the capabilities of the approaches and concepts.

报告人简介:

Prof. Dr. –Ing Michael Beer is Head of the Institute for Risk and Reliability, Leibniz Universität Hannover, Germany, since 2015. He is also part time Professor at the University of Liverpool and at Tongji University. Dr. Beer’s research is focused on uncertainty quantification in engineering with emphasis on imprecise probabilities. Dr. Beer is Editor in Chief (joint) of the Encyclopedia of Earthquake Engineering, Associate Editor of the ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Associate Editor of the International Journal of Reliability and Safety, and Member of thirteen Editorial Boards including Probabilistic Engineering Mechanics, Computers & Structures, Structural Safety, Mechanical Systems and Signal Processing, and International Journal for Uncertainty Quantification, etc. He has won several awards including the Donald Julius Groen Prize of the Safety & Reliability Group of the Institution of Mechanical Engineers, the CADLM PRIZE 2007 – Intelligent Optimal Design and a Certificate for Highly Cited Research in Structural Safety. He is a Fellow of the Alexander von Humboldt-Foundation, Chair of the C(PS)2 of the Bernoulli Society and Member of ASCE (EMI), ASME, IACM, ESRA, EASD, and GACM.

欢迎各位老师和同学参加！