Speaker: Ziqing Xie, Hunan Normal University

Time: July 19, 09:45-10:25

Address: Room 327, 3rd floor, New Activity Center, HIT

Title: Is normalized line search rule really suitable for finding multiple solutions of semilinear PDEs?

Abstract: 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.