研究三维海洋波导中多障碍物的声散射问题.基于Galerkin变分原理和DtN映射方法,发展一种自然边界元与有限元耦合的求解方法,提出有效的数值实现方法,避免常规有限元中需要采用吸收边界的缺点对多种形状多障碍物的数值计算结果表明,所建立的理论方法是有效的.
We study multiple acoustic scattering of three dimensional multiple obstacles in shallow water waveguides. A method coupling finite-element and natural boundary-element is developed to solve acoustic scattering based on Galerkin variational principle and DtN mapping. The method avoids adoption of absorbing boundary used in conventional finite element method. It is validate by numerical study of 3D multiple obstacles with various shapes.