By applying fast multipole expansion, the boundary integral equation about3D potential problem is made discrete. 应用快速多极展开法将三维位势问题的边界方程离散。
This paper given the physical image of electric potential multipole expansion, and the compare analyses of definitiones of electric quadrupole moment are also given. 给出电势多极展开中多极子的物理图象,并对电四极矩的几个定义式作对照分析。
Calculation of Hydrodynamic Coefficients for Twin-body Section Using the Multipole Expansion Method ( Sway andRoll) 用多极展开法计算双体剖面的水动力系数(横荡与横摇)
The physical image of electric potential multipole expansion 电势多极展开的物理图象
By comparison with ANSYS, it was clear that BEM could solve the problem not only effectively but also precisely. In chapter 3, the theory of Multipole Expansion Method is introduced. 第3章着重介绍了多极展开法的基本理论知识,为多极展开法与边界元法的结合奠定理论基础。
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。
Multipole Moment Expansion of Electric Potential in an Anisotropic Medium 在各向异性介质中电势的多极矩展开
With the normal and abnormal vector wave functions and their conversion relations, the multipole expansion expression of radiation and scattering fields for the buried object in the stratified media is presented. 本文用标准和非标准圆球矢量波函数及其相互转换关系严格导出平面分层媒质中埋入体电磁辐射和散射场的多极子展开式。
Based on the multipole expansion using Taylor series, fast multipole boundary element method ( FM-BEM) is studied and applied to thin plate structures. 基于Taylor级数多极展开研究了边界元快速多极算法(FM-BEM),并将它应用于薄板结构。
The multipole expansion algorithm greatly reduces the memory requirements without losing accuracy. 该算法通过多极展开概念,大大降低了对存储量的要求,并且不损失精度。
The method of the electrostatic images by multipole expansion 多极展开电象法
We construct multipole expansion for gravitational radiation by method of small parameter, have obtained general expression of every multipole gravitational radiation, have rigorously proved angular distribution of gravitational radiation of along arbitrary direction. 本文用小参数法对引力辐射作多极展开,得到了各极引力辐射的一般表达式,对沿任一方向引力辐射的角分布作了严格的证明。
Multipole expansion method for solution of radiational and diffractional fluid field of asymmetrical sections 多极展开法求解非对称剖面辐射绕射流场
Besides, the multipole expansion method, which can calculate more accurately the spectral shift energy, is briefly introduced. 此外我们还简要介绍了能精确计算光谱移动能的多级展开方法;
This paper deals with multipole moment expansion of the magnetic vector potential in linear anisotropic media. 本文给出在线性各向异性介质中磁向量势(?)
Based on traditional three-dimensional Boundary Element Method, combining with Multipole Expansion Method and Generalized Minimal Residual Method, 3-D fast Multipole BEM is given out in this paper. Then 3-D surface fast Multipole BEM is developed. 传统边界元法与多极展开法和广义极小残值法融合,给出了三维位势场曲面元多极边界元法,继而提出三维位势场曲面快速多极边界元法。
The method of multipole expansion using the spheric tensor 球张量的多极展开法
Multipole Expansion of Radiation and Scattering Fields for the Buried Object in the Stratified Media 平面分层媒质中埋人体电磁辐射和散射场的多极子展开
The charge distribution is represented by point multipole expansion, including point charge, dipole, and quadrupole moments placed at the center of mass. 点多极展开包括质心处的点电荷、偶极矩、四极矩,这样可以得到粗粒化势。
The multipole expansion method, first proposed by Ursell ( 1949), is an analytic method for solving hydrodynamic problems in ocean engineering in polar coordinates and spherical coordinates, which will provide an effective and accurate form of the velocity potential in deep water. 最早由Ursell(1949)提出的多极展开法是一种在极坐标和球坐标系下解析求解海洋工程水动力学问题的方法,可提供深水中速度势有效精确的表达形式。