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

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...

全面介紹

Saved in:
書目詳細資料
Main Authors: Liu, Tao, Yu, Jiayuan, Zheng, Yuanjin, Liu, Chao, Yang, Yanxiong, Qi, Yunfei
其他作者: School of Electrical and Electronic Engineering
格式: Article
語言:English
出版: 2023
主題:
在線閱讀:https://hdl.handle.net/10356/164842
標簽: 添加標簽
沒有標簽, 成為第一個標記此記錄!
實物特徵
總結: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 method reduces the dimensions of objective functions enormously and mitigates the risk of trapping in local minima effectively. Furthermore, constraints significantly improve the convergence ability of the method. We performed the numerical simulation based on the porosity identification of elastic wave equations in the fluid-saturated porous media, which suggests that the nonlinear multigrid method with constraints decreases the computational expenditure, suppresses the noise, and improves the inversion results.