A nonlinear multigrid method for the parameter identification problem of partial differential equations with constraints

• Main Authors: Liu, Tao, Yu, Jiayuan, Zheng, Yuanjin, Liu, Chao, Yang, Yanxiong, Qi, Yunfei
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2023
• Subjects: Engineering::Electrical and electronic engineering; Inverse Problem; Parameter Identification Problem
• Online Access: https://hdl.handle.net/10356/164842
• Institution: Nanyang Technological University

In this paper, we consider the parameter identification problem of partial differential equations with constraints. A nonlinear multigrid method is introduced to the process of parameter inversion. By keeping the objective functions on coarse grids consistent with those on fine grids, the proposed m...