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.
Lecturer
Date
28th March ~ 27th June, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 13:30 - 16:55 | A3-1a-204 | ZOOM 06 | 537 192 5549 | BIMSA |
Prerequisite
Minimum: Calculus, Linear algebra; Preferred: Differential geometry, PDEs, Functional analysis, Numerical methods to PDEs, Optimization
Reference
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).
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
, Researcher
Video Public
Yes
Notes Public
Yes
Language
English