in the time varying electromagnetic field, we have solved helmholtz equation of a scalar potential under the spherical polar coordinate, and obtained its general solution.
本文利用拉普拉斯方程的基本解作为权函数,给出求解交系数非齐次亥姆霍茨方程的迭代格式,进而得到求解这类方程的边界元迭代法。
the influence of double layer for scalar potential, the double layer universal solutions of scalar potential and the only theorem of boundary value problem are discussed.
论述了偶层对标势的影响及有偶层存在时标势的普遍解和边值问题的唯一性定理。
the model employs the imaginary magnetic current density and magnetic charge density distributed over the interfaces of different regions, and the scalar potential on these interfaces as unknowns;
模型以假设分布于不同区域交界面上的虚拟磁流密度、磁荷密度以及标量电位为待求解的未知变量;
the modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.
计算量采用修正标量位,这样在同样的节点数下相对于矢量位它可以减少联立方程的阶数。
the analytical solutions of stresses, displacement and pore pressure amplitude are derived in frequency domain by introducing two scalar potential functions.
引入两个势函数,在频域中得到了应力、位移和超孔隙水压力响应解答。
introduces the magnetic scalar potential method solving boundary-value problems of magnetic field generated by steady electric current is introduced.
介绍了用磁标势求解稳恒电流磁场边值问题方法、步骤。
the field analysis results were confirmed with the experimental results and other theoretical expressions including dipole magnet theory and scalar potential model.
验证了单磁体和双磁体理论结果与实验结果的一致性,并证明永磁分子环流模型的计算结果分别与磁偶极子模型、磁标位模型相符。
according to the vector relation and biot-savart law the magnetic scalar potential notation is directly derived.
根据这个关系式和毕-沙定律,直接导出磁标量位的表达式。
and the problem is converted to the typical neumann boundary value problem for the elliptic equations by inducing the scalar potential function.
通过引入静电场的标量位函数,将电场强度的矢量泊松方程转化为位势的椭圆型偏微分方程的诺依曼边值问题。
a 「fictitious magnetic monopole-, single scalar potential model」 is used fo offer a 3d finite element solution of the nonlinear and anisotropic magnetic field in such a system.
本文采用假想磁荷——单标量位模型提供了该类非线性各向异性场的三维有限元解法。
if using the scalar potential instead of the vector potential to analyze the current-carrying regions in a 3d magnetostatic field, the computing time can be greatly reduced.
在三维有限元磁场中,如果对电流区域进行适当处理,采用标量磁位进行分析,与采用矢量磁位相比,可大大提高计算速度。
when the vector potential function and the differential of the scalar potential function are computed, singular points would occur on tpm.
但在计算矢量位函数和标量位函数的微分过程中,tpm模型将产生奇异点。
the errors resulting from the neglecting the electric scalar potential are analysed using numerical models. the 3d-numerical solution is verified by the analytic solution.
通过实际算例研究了忽略标量电位所引起的误差,用解析解答验证了三维数值解的正确性。
for a pure scalar potential the zero energy bound state does exist, and the fractional charge does exist.
对于纯标量场,存在零能量束缚态,存在分数电荷。