SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS
文献类型：期刊论文
| 作者 | Ji, Xia1,2; Liu, Xiaodong3,4
|
| 刊名 | SIAM JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2021 |
| 卷号 | 81期号:6页码:2387-2404 |
| ISSN号 | 0036-1399 |
| 关键词 | multipolar point sources multifrequency scattered fields sparse data sampling method |
| DOI | 10.1137/20M1352879 |
| 英文摘要 | We consider the reconstruction of acoustic sources with multifrequency sparse scattered fields. Specifically, we shall use the multifrequency scattered fields at finitely many measurement points to prove some uniqueness results and introduce three numerical schemes. The underlying sources can be an extended source or a sum of monopoles and dipoles. At a fixed measurement point, we show that the spheres centered at the point passing through the point sources can be uniquely determined by the multifrequency scattered fields. For M multipolar point sources, the uniqueness for locating the positions and recovering scattering strengths has been proved using multifrequency scattered fields for at most 6M + 1 measurement points. For an extended source, we show that the smallest annular containing the source centered at the measurement point can be uniquely determined by the multifrequency scattered field. Motivated by the uniqueness proofs, we then introduce three schemes for reconstructing the sources. Some numerical examples in three dimensions are presented to show the validity and robustness of the proposed numerical schemes. |
| 资助项目 | NNSF of China[11971471] ; Youth Innovation Promotion Association, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SIAM PUBLICATIONS |
| WOS记录号 | WOS:000735860100005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59775]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Ji, Xia |
| 作者单位 | 1.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 2.Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China 3.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ji, Xia,Liu, Xiaodong. SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2021,81(6):2387-2404. |
| APA | Ji, Xia,&Liu, Xiaodong.(2021).SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS.SIAM JOURNAL ON APPLIED MATHEMATICS,81(6),2387-2404. |
| MLA | Ji, Xia,et al."SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS".SIAM JOURNAL ON APPLIED MATHEMATICS 81.6(2021):2387-2404. |
入库方式： OAI收割
来源：数学与系统科学研究院
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