Isogeometric Analysis Towards Complex Geometries

：魏小东（上海交通大学）
：2023-05-25 10:00
：海韵园数理大楼天元会议室686报告厅

报告人：魏小东（上海交通大学）

时  间：2023年5月25日上午10:00

地  点：海韵园数理大楼天元会议室686报告厅

内容摘要:

In order to overcome the challenges posed by the incompatibility between Computer-Aided Design (CAD), Computer-Aided Engineering (CAE), and optimization software used in engineering design, Isogeometric Analysis (IGA) has emerged as the most influential solution. By directly utilizing high-fidelity CAD models in CAE, IGA helps mitigate the time-consuming model/data exchange and compatibility issues caused by geometric models, and may even eliminate them altogether. Nonetheless, IGA faces significant obstacles in dealing with complex geometries in real-world applications, due to the limitations of the current industrial standard for CAD, Non-Uniform Rational B-Splines (NURBS). The seamless integration of CAD and CAE for complex geometries can be approached through two complementary perspectives: making CAD be analysis-suitable, or making CAE be design-aware. The former changes CAD while retaining CAE, which strives to breaking through the current CAD standard by developing analysis-suitable spline technologies. The latter retains CAD but changes CAE, the key of which is to establish novel boundary-unfitted methods to directly perform analysis on (trimmed) NURBS. From these two perspectives, in this talk I will introduce their respective challenging issues, solution strategies, and latest developments. Moreover, through various applications such as neuronal material transport, automobile engineering, the advection-diffusion problem, and the Stokes problem, I will explore their advantages and prospects.

个人简介：

魏小东，上海交通大学密西根学院助理教授，博士生导师。美国卡内基梅隆大学机械工程系博士，瑞士洛桑联邦理工大学数学系博士后。研究领域为等几何分析、计算几何、拓扑优化。在CMAME、SIAM等领域内国际期刊发表论文20篇。先后受邀在美国计算力学大会、德国数学研究中心Oberwolfach、多伦多大学几何论坛等进行学术报告。多次在世界计算力学大会、美国计算力学大会、国际等几何分析大会等国际学术会议中组织研讨会，并长期担任CMAME、CAD、IJNME等期刊审稿人。

 

联系人：曹娟