%A Zhen-Pei WANG, Zhifeng XIE, Leong Hien POH %T An isogeometric numerical study of partially and fully implicit schemes for transient adjoint shape sensitivity analysis %0 Journal Article %D 2020 %J Front. Mech. Eng. %J Frontiers of Mechanical Engineering %@ 2095-0233 %R 10.1007/s11465-019-0575-5 %P 279-293 %V 15 %N 2 %U {https://journal.hep.com.cn/fme/EN/10.1007/s11465-019-0575-5 %8 2020-06-15 %X
In structural design optimization involving transient responses, time integration scheme plays a crucial role in sensitivity analysis because it affects the accuracy and stability of transient analysis. In this work, the influence of time integration scheme is studied numerically for the adjoint shape sensitivity analysis of two benchmark transient heat conduction problems within the framework of isogeometric analysis. It is found that (i) the explicit approach (