Volume 4, Issue 3
An Integral Equation Method for the Scattering by Core-Shell Structures in a Layered Medium

Gang Bao & Lei Zhang

CSIAM Trans. Appl. Math., 4 (2023), pp. 515-541.

Published online: 2023-04

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  • Abstract

The core-shell structure design is an important subject in science and engineering, which also plays a key role in wave scattering and target reconstructions. This work aims to develop a novel boundary integral equation method for solving the acoustic scattering from a 3D core-shell structure in a two-layered lossy medium. The boundary integral equation contains continuous and weakly singular kernels. The well-posedness of the scattering problem is established by combining the integral equation, variational, and operator theory techniques. The study lays the groundwork for future numerical methods for layered obstacles and rough surfaces composite scattering and inverse scattering problems.

  • AMS Subject Headings

35Q60, 31B10, 45L05

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COPYRIGHT: © Global Science Press

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@Article{CSIAM-AM-4-515, author = {Bao , Gang and Zhang , Lei}, title = {An Integral Equation Method for the Scattering by Core-Shell Structures in a Layered Medium}, journal = {CSIAM Transactions on Applied Mathematics}, year = {2023}, volume = {4}, number = {3}, pages = {515--541}, abstract = {

The core-shell structure design is an important subject in science and engineering, which also plays a key role in wave scattering and target reconstructions. This work aims to develop a novel boundary integral equation method for solving the acoustic scattering from a 3D core-shell structure in a two-layered lossy medium. The boundary integral equation contains continuous and weakly singular kernels. The well-posedness of the scattering problem is established by combining the integral equation, variational, and operator theory techniques. The study lays the groundwork for future numerical methods for layered obstacles and rough surfaces composite scattering and inverse scattering problems.

}, issn = {2708-0579}, doi = {https://doi.org/10.4208/csiam-am.SO-2022-0040}, url = {http://global-sci.org/intro/article_detail/csiam-am/21640.html} }
TY - JOUR T1 - An Integral Equation Method for the Scattering by Core-Shell Structures in a Layered Medium AU - Bao , Gang AU - Zhang , Lei JO - CSIAM Transactions on Applied Mathematics VL - 3 SP - 515 EP - 541 PY - 2023 DA - 2023/04 SN - 4 DO - http://doi.org/10.4208/csiam-am.SO-2022-0040 UR - https://global-sci.org/intro/article_detail/csiam-am/21640.html KW - Composite scattering, Helmholtz equation, existence and uniqueness, integral equation method. AB -

The core-shell structure design is an important subject in science and engineering, which also plays a key role in wave scattering and target reconstructions. This work aims to develop a novel boundary integral equation method for solving the acoustic scattering from a 3D core-shell structure in a two-layered lossy medium. The boundary integral equation contains continuous and weakly singular kernels. The well-posedness of the scattering problem is established by combining the integral equation, variational, and operator theory techniques. The study lays the groundwork for future numerical methods for layered obstacles and rough surfaces composite scattering and inverse scattering problems.

Gang Bao & Lei Zhang. (2023). An Integral Equation Method for the Scattering by Core-Shell Structures in a Layered Medium. CSIAM Transactions on Applied Mathematics. 4 (3). 515-541. doi:10.4208/csiam-am.SO-2022-0040
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