| 主题： |
Shape derivatives-new perspective and applications in scattering |
| 类型： |
学术报告
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| 主办方： |
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| 报告人： |
李景治副教授 |
| 日期： |
4月19日10:00-11:00 |
| 地点： |
知新楼B-1238 |
| 内容： |
报告题目：Shape derivatives-new perspective and applications in scattering
报 告 人： 李景治（南方科技大学数学系副教授，博士生导师）
报告时间 ：4月19日（星期四），上午10:00-11:00
报告地点：知新楼B-1238 报告摘要：
This talk presents the “derivative” of solutions of second-order boundary value problems with respect to the shape of the domain. A rigorous approach relies on encoding shape variation by means of deformation vector fields, which will supply the directions for taking shape derivatives. These derivatives and methods to compute them numerically are key tools for studying shape sensitivity, performing gradient based shape optimization, and small-variation shape uncertainty quantification. A unifying view of second-order elliptic boundary value problems recasts them in the language of differential forms (exterior calculus). Fittingly, the shape deformation through vector fields matches the concept of Lie derivative in exterior calculus. This paves the way for a unified treatment of shape differentiation in the framework of exterior calculus. Applications in scattering problems reveals the extraordinary power of the machinery. 欢迎各位老师同学积极参加！
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