期刊论文详细信息
Boundary value problems | |
Identifying an unknown source in the Poisson equation by a wavelet dual least square method | |
Ai-lin Qian1  | |
[1] Department of Mathematics and Statistics, Hubei University of Science and Technology, Xianning, People’s Republic of China | |
关键词: ill-posed problems; Meyer wavelet; regularization; dual least square method; error estimate; | |
DOI : 10.1186/1687-2770-2013-267 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
This paper deals with an inverse problem of identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point. This problem is ill-posed, we proposed a regularization strategy, a wavelet dual least square method, to analyze the stability of the problem. Meanwhile, a numerical experiment is devised to verify the validity of the method. MSC:35R40, 65J20.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201901224166201ZK.pdf | 305KB | download |