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.
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.
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.
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.
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.
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.
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