中南民族大学学报（自然科学版）2017，Vol.36Issue(1)：123-127,5.
可穿透腔体外有裂缝的正散射问题
The Direct Scattering Problem for a Penetrable Cavity and a Crack
摘要
Abstract
In this paper, by using a time harmonic point source as the incident wave, we consider the scattering problem of a mixed scatterer composed of a penetrable cavity and an external impenetrable crack.The problem comes down to solving the Helmholtz equation with certain boundary conditions.By using the boundary integral equation method, based on the potential theory and Fredholm theorem, we prove that the scattering problem has a unique solution.关键词
边界积分方程的方法/Helmholtz方程/Fredholm定理/腔体/裂缝Key words
boundary integral equation method/Helmholtz equation/Fredholm theorem/cavity/crack分类
数理科学引用本文复制引用
彭超权,陶婷,蔡明建..可穿透腔体外有裂缝的正散射问题[J].中南民族大学学报（自然科学版）,2017,36(1):123-127,5.基金项目
国家自然科学基金数学天元基金(11526196) （11526196）
