文献类型：期刊文献

英文题名：Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method

作者：Li, Zhi[1];Zhao, Zhenyu[1,3];Meng, Zehong[2];Chen, Baoqin[1];Mei, Duan[1]

机构：[1]Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang 524088, Peoples R China;[2]Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Peoples R China;[3]Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Peoples R China

年份：2020

卷号：17

期号：7

外文期刊名：INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

收录：SCI-EXPANDED(收录号：WOS:000562959100008)、、EI(收录号：20192106971395)、Scopus(收录号：2-s2.0-85065994927)、WOS

基金：This work is supported by the National Natural Science Foundation of China (No. 11201085) and project of enhancing school with innovation of Guangdong Ocean University (2016050202, 2016050228 and Q18306).

语种：英文

外文关键词：III-posed problem; unknown source; Tikhonov regularization method; discrepancy principle; super order regularization

外文摘要：This paper develops a new method to deal with the problem of identifying the unknown source in the Poisson equation. We obtain the regularization solution by the Tikhonov regularization method with a super-order penalty term. The order optimal error bounds can be obtained for various smooth conditions when we choose the regularization parameter by a discrepancy principle and the solution process of the new method is uniform. Numerical examples show that the proposed method is effective and stable.