
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | IEEE Computational intelligence |
| Volume / Edisi | : | 8 (No. 1) |
| Halaman | : | 16-32 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Analisa |
| Volume / Edisi | : | VIII-8, AGUSTUS (No. 8) |
| Halaman | : | 685-699 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Analisa |
| Volume / Edisi | : | VIII-8, AGUSTUS (No. 8) |
| Halaman | : | 669-684 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | IEEE Computational intelligence |
| Volume / Edisi | : | 8 (No. 1) |
| Halaman | : | 14-15 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Analisa |
| Volume / Edisi | : | VIII-8, AGUSTUS (No. 8) |
| Halaman | : | 645-668 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | IEEE Computational intelligence |
| Volume / Edisi | : | 8 (No. 1) |
| Halaman | : | 12-13 |
| Abstrak | : | - |
| Pengarang | : | Tianjiao Wang, Xiang Xu, Ganghua Yuan, Yue Zhao |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 85 (No. 4) |
| Halaman | : | 1438-1457 |
| Abstrak | : | In this paper, we show for the first time the stability of the inverse source problem for the three-dimensional Helmholtz equation with a variable damping coefficient. The stability estimate consists of the Lipschitz-type data discrepancy and the high wavenumber tail of the source function, where the latter decreases as the upper bound of the wavenumber increases. The stability is shown to have an exponential dependence on the upper bound of the damping coefficient. The analysis employs scattering theory and semiclassical analysis to obtain an analytic domain and an upper bound for the resolvent of the elliptic operator. |
| Pengarang | : | Zhang, Zhengyou,Greenwood, Garry,Liu, Derong,Lin, Chin-Teng,Lucas, Simon |
| Nama Majalah/Jurnal | : | IEEE Computational intelligence |
| Volume / Edisi | : | 8 (No. 1) |
| Halaman | : | 9-11 |
| Abstrak | : | - |
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | IEEE Computational intelligence |
| Volume / Edisi | : | 8 (No. 1) |
| Halaman | : | 7-8 |
| Abstrak | : | - |
| Pengarang | : | Kuang Huang, Bangti Jin, Yavar Kian, Georges Sadaka, Zhi Zhou |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 85 (No. 4) |
| Halaman | : | 1416-1437 |
| Abstrak | : | In this work we investigate an inverse problem of recovering point sources and their time-dependent strengths from a posteriori partial internal measurements in a subdiffusion model which involves a Caputo fractional derivative in time and a general second-order elliptic operator in space. We establish the well-posedness of the direct problem in the sense of transposition and improved local regularity. Using classical unique continuation of the subdiffusion model and improved local solution regularity, we prove the uniqueness of simultaneously recovering the locations of point sources, time-dependent strengths, and initial condition for both one-dimensional and multidimensional cases. Moreover, in the one-dimensional case, the elliptic operator can have time-dependent coefficients. These results extend existing studies on point source identification for parabolic type problems. Additionally we present several numerical experiments to show the feasibility of numerical reconstruction. |