Inverse Fluid-Solid Interaction Problems

逆流固相互作用问题

• 批准号: 222881986
• 负责人: Dr. Guanghui Hu
• 金额: --
• 依托单位: Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2015-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/222881986?language=en
• 关键词: Inverse; Fluid; Solid; Interaction; Problems

Inverse interaction problems between acoustic, electromagnetic and elastic waves occur in many applications in natural sciences and engineering. This project is devoted to the investigation of inverse fluid-solid interaction problems of detecting the position, shape and internal physical properties of an unknown elastic body immersed in a compressible inviscid fluid. One objective is to obtain new uniqueness results in recovering the inhomogeneous density inside the elastic body from acoustic far-field data. The second goal is to develop efficient and stable numerical algorithms for identifying the location and shape of the underlying obstacle. In the latter task, we are interested in factorization methods with near-field data and in reconstruction methods using multi-frequency far-field patterns associated with incident plane waves with a single direction. Inverse interaction problems between electromagnetic and elastic waves will also be studied.

声波、电磁波和弹性波之间的相互作用逆问题在自然科学和工程中的许多应用中都存在。本项目致力于研究可压缩无粘流体中未知弹性体的位置、形状和内部物理性质的流固相互作用逆问题。一个目标是从声学远场数据中恢复弹性体内的不均匀密度，从而获得新的唯一性结果。第二个目标是开发高效和稳定的数值算法，以确定潜在障碍的位置和形状。在后一项任务中，我们感兴趣的是近场数据的因式分解方法和与单一方向的入射平面波相关的多频远场模式的重建方法。还将研究电磁波和弹性波之间的逆相互作用问题。

项目成果

Multiple scattering of electromagnetic waves by finitely many point-like obstacles

• DOI: 10.1142/s021820251350070x
• 发表时间: 2014-03
• 期刊: Mathematical Models and Methods in Applied Sciences
• 影响因子: 3.5
• 作者: D. P. Challa;G. Hu;M. Sini

Near-field Imaging Point-like Scatterers and Extended Elastic Solid in a Fluid

流体中的点状散射体和扩展弹性固体的近场成像

• DOI: 10.4208/cicp.scpde14.17s
• 发表时间: 2016-05
• 期刊: COMMUNICATIONS IN COMPUTATIONAL PHYSICS
• 影响因子: 3.7
• 作者: Yin Tao;Hu Guanghui;Xu Liwei
• 通讯作者: Xu Liwei

Corners and edges always scatter

• DOI: 10.1088/0266-5611/31/1/015003
• 发表时间: 2015-01-01
• 期刊: INVERSE PROBLEMS
• 影响因子: 2.1
• 作者: Elschner, Johannes;Hu, Guanghui
• 通讯作者: Hu, Guanghui

Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings

• DOI: 10.1093/imamat/hxt054
• 发表时间: 2012-09
• 期刊: Ima Journal of Applied Mathematics
• 影响因子: 1.2
• 作者: G. Hu;A. Rathsfeld

Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces

• DOI: 10.1080/00036811.2014.887695
• 发表时间: 2013-04
• 期刊: Applicable Analysis
• 影响因子: 1.1
• 作者: J. Elschner;G. Hu