中文摘要：

介绍具有等几何分析功能的GeoPDEs平台的数据结构和分析流程,针对二维平面形状优化问题,以控制顶点为设计变量,在推导出等几何分析的灵敏度计算公式后,提出基于GeoPDEs平台的灵敏度分析的高效实现方法,并采用移动渐近线法（Method of Moving Asymptotes,MMA）算法进行等几何形状优化.形状优化实例表明该方法收敛速度快,优化结果较理想.

英文摘要：

The data structure and analysis process of GeoPDEs platform which has isogeometric analysis function are introduced. As for 2D plane shape optimization problem, the control vertices are taken as the design variables and an efficient implementation method of sensitivity analysis is proposed based on GeoPDEs after derivation of sensitivity computation formula for isogeometric analysis. The isogeometric shape optimization is performed by Method of Moving Asymptotes（MMA）. The shape optimization example shows that the method can reach a good convergence rate and ideal optimization result.