题目：Is normalized line search rule really suitable for finding multiple solutions of semilinear PDEs?
报告人：Ziqing Xie（Hunan Normal University）
时间：7月19日，9:45-10:25
地点：哈工大活动中心327会议室
摘要：Inspired by the work in Zhou and Li (SISC , 2001,2002) and the line search rules in optimization theory in R^n aiming at the global convergence, in this talk we propose a modified Local Minimax Method(LMM) based on a normalized Goldstein line search rule to find multiple minimax-type solutions. The feasibility of our approach is provided and its corresponding convergence is proven. Finally, our approach is implemented to solve several typical semilinear elliptic boundary value problems on a square for multiple saddle points and the numerical results indicate that our approach is efficient.
