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.
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。
Only magnetic dipole and higher multipole configuratons occur in nature.
自然界中只能出现磁偶极子以及磁多极子的形式。
MAC - multipole sub - array acoustic log is an advanced logging technology.
多极子阵列声波技术是目前较先进的测井技术。
General expressions of the magnetic vector potential for multipole fields are derived.
推导出了用多极场空间谐波函数表示的磁矢位的通项表达式。
It USES the fast multipole method (FMM) to accelerate the solution of the integral equations.
它使用快速多极方法(FMM)加速积分方程的解决方案。
The results are in good agreement with that obtained by generalized multipole technique (GMT).
计算结果与应用广义多极子技术（GMT）计算得到的结果吻合良好。
The elementary properties of the system combining a multipole len with a round len are studied.
研究了多极透镜与旋转对称透镜组合系统的基本性质。
The fast multipole method (FMM) was used with the boundary element method (BEM) to predict fractures in large castings.
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。
In solving electric field integral equations, fast multipole is used to make the computing efficiency greatly improved.
最后采用了快速多极子对电场积分方程进行求解，这样使得计算的效率得到很大的提高。
The fast multipole method is applied for calculating the radar cross section of a groove in a perfectly conducting plane.
采用快速多极子方法计算无限大导体平面上凹槽的雷达散射截面。
Some novel features of multipole lens are shown through several examples, in which unsymmetric voltages are applied to the lens.
通过分析实例，揭示了多极透镜加非对称电压后的某些新特性。
Multilevel fast multipole method is used to fast calculate the matrix-vector product when we solve the linear system by iterative method.
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。
The potential distribution and the perturbation multipole field of the different electrode defects in some electrostatic lenses were given.
计算了几个静电电子透镜的例子，给出了不同电极缺陷的电位分布和微扰多极场分布。
The stress fields of such structure around the opening were predicted using a three-dimensional, higher-order fast multipole boundary element method.
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 contributions of the multipole transitions to the opacity of hot and dense plasmas of gold are taken into account by using an average-atom model.
使用平均原子模型研究了电四极及更高阶跃迁对高温稠密金等离子体辐射不透明度的贡献。
Combination of ECFIE with multilevel fast multipole algorithm (MLFMA) can easily solve electromagnetic scattering from conductive target with open cavity.
均衡混合场积分方程与多层快速多极子方法(MLFMA)结合使用，可以方便地求解含腔导体目标的电磁散射。
To further improve the ability for solving large scale problems, multilevel fast multipole algorithm (MLFMA) has been investigated in detail in this paper.
为进一步提高对电大尺寸目标散射求解的能力，详细研究了多层快速多极子方法。
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。
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.
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。
In this paper it is pointed out that the equation of field lines of a magnetic multipole with any order and degree can always be analytically expressed in term of finite form.
本文证明任意阶次磁多极子场力线方程总可以用有限形式解析地表示，并对偶极族和四极族磁多极子场力线的位形给予注记。
Electromagnetic environment of ship, an extremely large complex target with various electromagnetic equipments, was simulated by parallel multi-level fast multipole algorithm (MLFMA).
针对舰船目标尺寸巨大、形状复杂、电磁设备繁多的特点，选取并行多层快速多极子技术来模拟仿真其电磁环境。
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.
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 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.
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。
Physically in consideration of the multipole moments, by using supplementing charges, there can be derived in this paper the potential at great distances due to a localized charge distribution.
本文是从电多极矩的物理意义的考虑，而用增补电荷的办法，推演出分布在小区域内的电荷系统在远处所产生的电势。
Tensors Under Rotations. Multipole Expansion.
转动下之张量。多极展开。
VCVS active filters are greatly used in front signal acquisition and processing unit of the Cross Multipole Array Acousticlog tool.
正交偶极子阵列声波测井仪中前端信号采集和处理单元大量使用了VCVS有源滤波器。
Based on the MT(Multipole Theory), a new method is presented for calculating the electrical conductance of cables with complicated cross section.
将多极理论用于复杂截面的电缆电导计算，为电缆电导计算提供一种新的计算方法。
Based on the MT(Multipole Theory), a new method is presented for calculating the electrical conductance of cables with complicated cross section.
将多极理论用于复杂截面的电缆电导计算，为电缆电导计算提供一种新的计算方法。
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