Introduction to shape optimization
In this course, we will discuss some topics related to shape optimization, including shape calculus, shape sensitivity analysis, shape gradient flow, finite element methods on evolving domains (cut FEMs, immersed FEMs and etc.), level set method, homogenization method and additional topics related to topology optimization.
讲师
日期
2024年03月28日 至 06月27日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四 | 13:30 - 16:55 | A3-1a-204 | ZOOM 06 | 537 192 5549 | BIMSA |
修课要求
Minimum: Calculus, Linear algebra; Preferred: Differential geometry, PDEs, Functional analysis, Numerical methods to PDEs, Optimization
参考资料
1. Allaire, Grégoire, Charles Dapogny, and François Jouve. "Shape and topology optimization." Handbook of numerical analysis. Vol. 22. Elsevier, 2021. 1-132.
2. Walker, Shawn W. The shapes of things: a practical guide to differential geometry and the shape derivative. Society for industrial and applied mathematics, 2015.
3. Delfour, Michel C., and J-P. Zolésio. Shapes and geometries: metrics, analysis, differential calculus, and optimization. Society for Industrial and Applied Mathematics, 2011.
4. Sokolowski, Jan, et al. Introduction to shape optimization. Springer Berlin Heidelberg, 1992.
5. Henrot, Antoine, and Michel Pierre. Shape variation and optimization. 2018.
6. Bonito, A., A. Demlow, and R. H. Nochetto. "Handbook of Numerical Analysis." Geometric Partial Differential Equations—Part 1 (2020).
2. Walker, Shawn W. The shapes of things: a practical guide to differential geometry and the shape derivative. Society for industrial and applied mathematics, 2015.
3. Delfour, Michel C., and J-P. Zolésio. Shapes and geometries: metrics, analysis, differential calculus, and optimization. Society for Industrial and Applied Mathematics, 2011.
4. Sokolowski, Jan, et al. Introduction to shape optimization. Springer Berlin Heidelberg, 1992.
5. Henrot, Antoine, and Michel Pierre. Shape variation and optimization. 2018.
6. Bonito, A., A. Demlow, and R. H. Nochetto. "Handbook of Numerical Analysis." Geometric Partial Differential Equations—Part 1 (2020).
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
, Researcher
视频公开
公开
笔记公开
公开
语言
英文