研究结果表明，高阶快速多极边界元法易于分析此类大规模问题，并具有很高的数值计算精度，满足工程设计的要求。
The results show that the higher-order, fast multipole boundary element method can be applied to large problems with high numerical accuracy for engineering designs.
为精确模拟该结构的应力状况，该文提出一种三维高阶快速多极边界元法。
The stress fields of such structure around the opening were predicted using a three-dimensional, higher-order fast multipole boundary element method.
而按照这一方法多极设置动态平衡阀设计概念是不对的。
According to this method of multi-polar set dynamic balancing valve design concept is wrong.
采用复变函数法和多极坐标方法，研究了弯曲波对含有多圆孔薄板的散射问题。
Scattering of flexural waves by multiple cutouts and dynamic stress concentration in the thin plates were investigated in terms of the complex variable function method and multi-polar coordinates.
快速多极算法作为边界元法的求解算法，从而使边界元法能够对含有大量随机分布颗粒的复合材料进行大规模模拟。
Fast multipole method is used as a fast solver for BEM, making BEM applicable for large scale simulation of composites with a large number of randomly distributed particles.
将快速多极算法(FMM)应用到边界元法(BEM)中，对断裂力学问题进行大规模计算。
The fast multipole method (FMM) was used with the boundary element method (BEM) to predict fractures in large castings.
分层快速多极算法被用来加速用迭代法求解线性方程组时的矩阵向量乘积的运算。
Multilevel fast multipole method is used to fast calculate the matrix-vector product when we solve the linear system by iterative method.
本文采用基于高阶矩量法的快速多极子方法(FMM)及多层快速多极子方法(MLFMA)计算复杂目标的电磁散射。
The present paper applies fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) based on the higher order moment of method (mom) to solve scattering from complex target.
在三维弹性力学边界元法的基础上，推导出二阶单元的基本解快速多极展开格式。
The three-dimensional boundary element method for elastic materials was extended to develop a fast multipole expansion formulation of the fundamental solutions for quadratic elements.
目的研究基于多极边界元法的三维位势问题解的奇异性处理方法。
Methods Fast Multipole Boundary Element Method, the method of solving the singularity, and the method of Laplace Transformation.
以三维弹性力学问题为例，对快速多极与常规边界元法机群并行计算进行了比较。
For 3d elasticity problems, the parallel computations based on the fast multipole and the conventional boundary element method (BEM) on PC cluster are compared.
本文结合平面边界元法和平面多极子展开法，求解平面分层埋入体的电磁散射。
Multiple expansion for the buried body in the stratified Media attd Boundary Element Method (BEM) are combined to obtain electromagnetic scattering field of buried body in the stratified Media.
并且介绍了积分方程方法的求解方法—矩量法及其快速求解技术—多层快速多极子方法。
Numerical methods for integral equation-moment of method (mom) and the fast solving technique-MLFMA are introduced as well.
并且介绍了积分方程方法的求解方法—矩量法及其快速求解技术—多层快速多极子方法。
Numerical methods for integral equation-moment of method (mom) and the fast solving technique-MLFMA are introduced as well.
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