基于函数空间参数化方法的形状优化

Shape Optimization based on Function Space Parametrization Techniques

利用函数空间参数化方法来研究形状优化问题.先选取目标函数,然后利用函数空间参数化方法导出相应形状优化问题的一阶最优性条件;最后给出梯度型算法以及数值实例.数值分析说明理论的正确性和算法的高效性.

Based on function space parametrization techniques,shape optimization is investigates.One type of cost function is chosen,and the first order optimality conditions of the corresponding shape optimization problem are established using function space parametrization techniques.A gradient type algorithm is proposed.Finally the theory and efficiency of this proposed algorithm are validated by numerical examples.