# [1]王海兵,刘继军.由两层散射体引起的声学散射问题的分裂方法[J].东南大学学报(自然科学版),2011,41(3):652-658.[doi:10.3969/j.issn.1001-0505.2011.03.042] 　Wang Haibing,Liu Jijun.Splitting method for acoustic scattering by a two-layered obstacle[J].Journal of Southeast University (Natural Science Edition),2011,41(3):652-658.[doi:10.3969/j.issn.1001-0505.2011.03.042] 点击复制 由两层散射体引起的声学散射问题的分裂方法() 分享到： var jiathis_config = { data_track_clickback: true };

41

2011年第3期

652-658

2011-05-20

## 文章信息/Info

Title:
Splitting method for acoustic scattering by a two-layered obstacle

(1东南大学数学系, 南京 210096)(2湖南科技大学数学与计算科学学院, 湘潭 411201)
Author(s):
(1Department of Mathematics, Southeast University, Nanjing 210096, China)
(2School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China)

Keywords:

O175.24
DOI:
10.3969/j.issn.1001-0505.2011.03.042

Abstract:
The acoustic wave scattered by a penetrable two-layered obstacle is considered. Firstly, using the potential theory together with the Fredholm alternative theorem, the solvability of this direct scattering problem is justified by the integral equation method. Then, in terms of the representation of solution, in the outward layer of scatterer, the wave field contains two parts, which respectively correspond to the reflected waves from two interfaces between layers. Based on this result, the original scattering problem is split into two coupled transmission problems. The uniqueness and existence of this splitting are also proven. In order to generate the numerical solution from such a splitting, an iteration scheme to decouple these two coupled scattering problems is proposed. The advantage of this splitting scheme is that only the solvers to the well-known transmission problems are applied, which reduces the computing complexity and the storage requirement for the computer.

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