An inverse source problem of the Poisson equation with Cauchy data
| dc.contributor.author | Liu, Ji-Chuan | |
| dc.date.accessioned | 2022-04-20T14:02:42Z | |
| dc.date.available | 2022-04-20T14:02:42Z | |
| dc.date.issued | 2017-05-04 | |
| dc.description.abstract | In this article, we study an inverse source problem of the Poisson equation with Cauchy data. We want to find iterative algorithms to detect the hidden source within a body from measurements on the boundary. Our goal is to reconstruct the location, the size and the shape of the hidden source. This problem is ill-posed, regularization techniques should be employed to obtain the regularized solution. Numerical examples show that our proposed algorithms are valid and effective. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, J. C. (2017). An inverse source problem of the Poisson equation with Cauchy data. <i>Electronic Journal of Differential Equations, 2017</i>(119), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15673 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Inverse source problem | |
| dc.subject | Gradient descent method | |
| dc.subject | Trust-region-reflective algorithm | |
| dc.subject | Poisson equation | |
| dc.subject | Ill-posed problem | |
| dc.title | An inverse source problem of the Poisson equation with Cauchy data | en_US |
| dc.type | Article |