.png){kind=icon}
返回
A CONTINUOUS PERSPECTIVE ON SHAPE OPTIMIZATION VIA DOMAIN TRANSFORMATIONS
.png){kind=icon}
OA
AI
DOI：10.1137/20M1332050.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this article we consider shape optimization problems as optimal control problems via the method of mappings. Instead of optimizing over a set of admissible shapes, a reference domain is introduced, and it is optimized over a set of admissible transformations. The focus is on the choice of the set of transformations, which we motivate from a continuous perspective. In order to guarantee local injectivity of the admissible transformations, we enrich the optimization problem by a nonlinear constraint. Numerical results for drag minimization of Stokes flow are presented.
Keyword:
shape optimization
method of mappings
Stokes flow
期刊
IF:
2.6
论文数:
5.1K
被引数:
1.8W
机构
引用论文
Turbocharger motor-generator for improvement of transient performance in an internal combustion engine用于改善内燃机瞬态性能的涡轮增压器电动发电机.png)
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering
Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile EngineeringIF0
PREAI
分享收藏Magnetic-Phase Transitions of Ising Surfaces with Modified Surface-Bulk Coupling: a Monte Carlo Study具有改性表面-体耦合的Ising表面的磁相变: 蒙特卡洛研究
PREAI
分享收藏FIRST AND SECOND ORDER SHAPE OPTIMIZATION BASED ON RESTRICTED MESH DEFORMATIONS基于受限网格变形的一阶和二阶形状优化
OAAI
OAAI分享收藏
查看更多内容