摘要
考虑一维热传导方程Robin系数反演问题,基于反问题的唯一性,将反问题转化为优化问题.目标泛函的构造引入了L 2+TV格式的正则化罚项,在讨论目标泛函极小元存在性的基础上,构造一种快速迭代算法,数值模拟结果证明了所提算法的有效性.
The Robin coefficient inverse problem was investigated by transforming it into an optimization problem based on its uniqueness.The regularization penalty of the format L 2+TV was introduced in the construction of the objective function.On the basis of discussing the existence of the minimum element of the objective function,a rapidly iterative algorithm was constructed.The numerical simulation results showed the effectiveness of the proposed algorithm.
作者
王兵贤
杜海清
WANG Bingxian;DU Haiqing(School of Mathematical Science,Huaiyin Normal University,Huaian 223300,China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2020年第2期7-11,共5页
Journal of Anhui University(Natural Science Edition)
基金
国家863项目子项目(2012AA061504-4)
江苏省高校自然科学面上项目(18KJD110002)
淮阴师范学院博士启动基金项目(31WBX00)。
关键词
热方程
Robin系数
优化
迭代
数值解
heat equation
Robin coefficient
optimization
iteration
numerics
