Shape optimization
（重定向自Structural optimization）
![Example: Optimization shape families resulting from differing goal parameters. Example provided courtesy of Formsolver.com](/Images/godic/202502/13/Emerging_Shape_Optimization_Families_for_buildings_by_formsolver4834.jpg")
Shape optimization is part of the field of optimal control theory. The typical problem is to find the shape which is optimal in that it minimizes a certain cost functional while satisfying given constraints. In many cases, the functional being solved depends on the solution of a given partial differential equation defined on the variable domain.