主讲人：徐曦 教授（北京交通大学）

时  间：9月17日（周二）10:00-11:00

地  点：威尼斯欢乐娱人城1099北二区教学楼 133 教室

摘  要: Abstract: Variational formulation in spatial domain has been well established, which serves as the cornerstone of the finite element method by transforming spatially strong-form PDE into weak form integral equations. Comparably, variational formulation of dynamics problems in the time domain still remains half-way, although the relevant work was initiated much earlier. Variational formulation of uncertainty in random space is completely a new thing, until such a term was explicitly noted in the author’s recent paper (2012). In this talk, by distinguishing a quasi-weak form from a weak form in random space, a unifying framework of variational formulation of uncertainty is presented covering both the conventional stochastic FEM and the recently proposed Green-function-based (GFB) FEM. Within the unifying framework, dynamic problems are further addressed especially to demonstrate the unique feature of GFB-FEM on problems with inputs characterized as random fields or random processes. Some fundamentals of the GFB-FEM are presented, along with a fast computing scheme and the engineering application.