共查询到19条相似文献,搜索用时 140 毫秒
1.
2.
3.
4.
通过变量代换平滑三角形上推迟位(标量位函数和矢量位函数)并消除推迟矢量位旋度的奇异性,使得采用数值积分法就能够精确快速地计算任意正则时间基函数与推迟位函数及推迟矢量位旋度之间的时间卷积运算,可用于基于任意类型时间基函数的时域电场、时域磁场及其混合场积分方程时间步进(MOT )算法。与时间卷积运算的解析法对比分析表明,该时间卷积数值积分方法能够精确快速地计算基于任意类型时间基函数和不同时间步长条件下时域积分方程MOT算法的阻抗矩阵元素;而具体的计算实例也表明,阻抗矩阵的精确计算显著地提升了时域积分方程MOT算法的后时稳定性和求解精度。 相似文献
5.
《中国无线电电子学文摘》2011,(1):82-85
O4412011010986时间步进算法中阻抗矩阵的高效存储新方法/李金艳,赵延文,聂在平,任仪(电子科技大学电子工程学院)//电波科学学报.―2010,25(4).―624~631.分析了时域积分方程时间步进算法产生的阻抗矩阵特征,针对该特征提出了一种新的阻抗矩阵存储方式,并将其用于低阶空间基函数与高阶空间基函数产生的阻抗元素存储中,通过数值算例证明了新存储方式存储 相似文献
6.
基于六面体的高阶叠层基函数,提出了一种新颖的构造预条件矩阵的方法.该方法基于叠层基函数特有的嵌套性质,利用特殊的编号策略,将由有限元方法导致的系数矩阵分成块矩阵的形式,最后由不完全LU分解(ILU)导出近似的预条件矩阵.结合该预条件技术,发展了一种叠层预条件-GMRES算法,并将该预条件算法用于加速三维腔体散射的矢量有限元/边界积分(FE-BI)矩阵方程的迭代求解,讨论了该预条件算法中块矩阵ILU分解截断门限Tdr对算法的影响. 相似文献
7.
本文利用一种新的高阶矢量基函数求解了三维时域磁场积分方程,该基函数定义在一个曲边三角形贴片上并用拉格朗日插值多项式来表示每一个贴片内的未知电流密度.该基函数的实质就是将拉格朗日插值多项式的插值点选为高斯积分结点,极大地简化和加快了时域积分方程矩量法的繁琐的时间和空间积分运算;另外,该基函数不要求网格为规范网格,给复杂目标的网格剖分带来很大方便.在空间上利用点匹配方法求解了时域磁场积分方程,数值计算结果表明了该方法求解时域积分方程的精确性和高效性. 相似文献
8.
9.
10.
11.
12.
Yi Ren Zaiping Nie Yanwen Zhao Wenmin Ma 《Geoscience and Remote Sensing, IEEE Transactions on》2008,46(7):1975-1981
The higher order vector basis functions defined in large patches have been utilized in the numerical solution of integral equations in this paper to sparsify the impedance matrix and relieve the memory pressure. The physical explanation for the sparsification of the impedance matrix is also elucidated. Furthermore, the maximally orthogonalized bases have been applied to improve the condition number of the impedance matrix. The scaling factor was reformed to speed up the iteration convergence in the numerical solution. Finally, the iterative method for sparse matrix equations is applied to improve the solution efficiency. Some numerical results are provided to illustrate the excellent performance both in the sparsification of the impedance matrix and solution efficiency for numerical analysis of the scattering problem. 相似文献
13.
Zahn D. Sarabandi K. Sabet K.F. Harvey J.F. 《Antennas and Propagation, IEEE Transactions on》2000,48(2):246-253
In this paper, a preliminary study is carried out to demonstrate the application of wavelets for improving the computation time and reducing computational memory required for evaluating the statistics of the scattered field from rough surfaces using the method of moments (MoM) in conjunction with a Monte Carlo simulation. In specific, Haar and the first order B-spline wavelet basis functions are applied to the MoM formulation of one-dimensional rough surfaces in order to compare the computation time and sparsity for wavelets in the same family but of higher order. Since the scattering coefficient (the second moment of the backscatter field per unit area) is a gentle function of the surface parameters and the radar attributes, it is demonstrated that a relatively high thresholding level can be applied to the impedance matrix, which leads to a sparser impedance matrix and faster computation time. It is also shown that applying a high threshold level the coefficients of the high-order wavelets would increase out of proportion, however, the effect of these current components averages out when computing the scattering coefficients. The resulting sparse impedance matrices are solved efficiently using fast search routines such as the conjugate gradient method. A systematic study is carried out to investigate the effect of different threshold levels on the accuracy versus computing speed criterion. The computed scattering coefficients are compared to previous results computed using a conventional pulse basis function as well as the existing theoretical solutions for rough surfaces. It is shown that wavelet basis functions provide substantial reductions in both memory requirements and computation time 相似文献
14.
螺旋天线的快速分析及宽带化设计 总被引:3,自引:3,他引:0
研究了一种快速计算螺旋天线电特性的新方法,并结合遗传算法对天线进行了宽带、小型化设计。采用直线段对法向模螺旋天线进行划分,应用合成基函数及合成检验函数的矩量法对阻抗矩阵进行了降阶处理,节省了求解矩阵方程所需的时间和存储量。结合遗传算法对加载法向模螺旋天线上的加载集总元件的值、加载位置以及匹配网络参数进行一体化优化设计,并采用Sherman-Morrison-Woodbury公式快速求解加载后的矩阵方程,提高了优化设计的效率。最后,成功设计了一副工作在100~1000MHz的宽带小型化螺旋天线。 相似文献
15.
An efficient approach for the full-wave analysis of printed structures is presented. It is based on the use of vector multiresolution (MR) functions in conjunction with the impedance matrix compression (IMC) technique, which leads to a reduced set of iteratively selected basis functions. The multilevel structure of the functions makes the matrix compression possible and also allows its further sparsification, with the subsequent reduction of the computational time and the matrix memory occupancy. Numerical results confirm the efficiency of the technique 相似文献
16.
特征基函数方法利用特征值分解提取目标散射特征,构造基于特征向量的基函数可以高效的缩减矩量法分析所需的未知量数目,有利于分析有限周期阵列电磁散射或辐射问题。然而,对于电大尺寸电磁阵列散射问题,直接求解由特征基函数组成的矩阵方程,仍然面临着计算量较大等问题,难以适用于单机计算。本文结合特征基函数和预修正傅里叶快速算法求解体面结合积分方程,分析了大型金属介质混合有限周期阵列的散射特性,该算法有效减少了计算量和计算时间,并且改善了迭代求解收敛性能。 相似文献
17.
《Antennas and Propagation, IEEE Transactions on》2009,57(7):2084-2093
18.
A spectral-element time-domain (SETD) method is proposed to solve 3-D transient electromagnetic problems based on Gauss-Lobatto-Legendre polynomials. It has the advantages of spectral accuracy and block-diagonal mass matrix. With the inexpensive inversion of the block-diagonal mass matrix, the proposed method requires only a trivial sparse matrix-vector product at each time step, thus significantly reducing CPU time and memory requirement. Galerkin's method is used for spatial discretization, and a fourth-order Runge-Kutta scheme is employed for the time integration. The perfectly matched layer (PML) is employed to truncate the boundary in unbounded problems. The pseudospectral time-domain method is used to simplify the treatment of the PML inside the proposed SETD method. Numerical examples are shown to verify the efficiency and the spectral accuracy with the order of basis functions 相似文献
19.
基于多层UV矩阵分解技术,提出用矩量法(MoM)求解三维各向异性阻抗面电磁散射的MoM-UV快速数值算法。根据等效原理,将表面电磁流以RWG(rao-wilton-glisson)矢量基函数展开。引入阻抗边界条件(IBC),以表面阻抗并矢表征电磁参数,实现各向异性阻抗面的电磁仿真。通过多层UV进行低秩矩阵压缩,减少矩阵-向量积运算和内存需求,利用稳定的双共轭梯度(BICGSTAB)迭代方法求解。给出典型算例,并与Mie级数解等精确结果比较,验证该算法的精度和效率。 相似文献