共查询到18条相似文献,搜索用时 93 毫秒
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提出了一种新型预条件算法,用于对有限元法离散Helmholtz方程所产生的大型稀疏复对称且高度不定的线性系统进行高效迭代求解。该新型预条件子是在复拉普拉斯偏移算子的基础上结合改进的稀疏近似逆算法来得到。通过改善矢量有限元线性系统自身的谱特性,该预条件算法既可避免迭代中的不稳定情况,同时也能较大提高迭代求解效率。数值结果表明,与若干常用预条件算法相比,所提出的预条件算法更加有效。 相似文献
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无人机(UAVs)具有机动性强,低成本及易部署等特性,通过搭载通信及感知设备,支持通信与感知技术的高效资源共享,无人机可作为融合通信与传感技术的高性能空中平台。该文针对多输入多输出(MIMO)无人机使能的联合通信、感知场景,综合考虑无人机飞行能量、多天线传输及用户业务需求等限制条件,建模无人机通信、感知预编码及飞行轨迹联合优化问题为多目标优化问题,以实现通信用户最低速率最大化及目标最小发现概率最大化。由于通信用户最低速率最大化问题为非凸优化问题,难以直接求解,将原优化问题分解为通信预编码设计子问题及无人机轨迹设计子问题,并采用交替迭代法依次求解两个子问题直至算法收敛,其中,对于通信预编码设计子问题,提出一种基于迫零(ZF)算法的求解策略;对于无人机轨迹设计子问题,提出一种基于连续凸逼近(SCA)算法的求解策略。基于所得到的无人机最优轨迹,将无人机感知位置选择问题建模为加权距离和最小化问题,进而应用泛搜索算法优化确定目标感知位置,并设计基于ZF算法的通信感知预编码联合优化策略,以实现通信感知性能的联合优化。最后通过仿真验证了该文所提算法的有效性。 相似文献
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预条件共轭梯度法在辐射和散射问题中的应用 总被引:3,自引:1,他引:2
用矩量法求解一些辐射和散射问题 ,如线天线辐射和线状体散射等问题时 ,可以产生一个 Toeplitz线性方程组 ,采用预条件共轭梯度法 (PCG)与快速富里叶变换 (FFT)的结合方法 (PCGFFT)来求解该方程组 ,其中预条件器采用 T.Chan的优化循环预条件器。使用 PCGFFT算法 ,可有效地节省内存 ,提高了计算速度。为说明其有效性 ,将 PCGFFT算法与 CGFFT算法以及 Levinson递推算法进行了对比。 相似文献
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An Efficient MAINV Preconditioned COCG Method for FEM Analysis of Millimeter Wave Filters 总被引:1,自引:0,他引:1
Yue Hui Li Zai Ping Nie Min Meng Xiang Qian Zhang Xiang Yang Sun 《Journal of Infrared, Millimeter and Terahertz Waves》2011,32(2):216-224
The modified AINV (MAINV) sparse approximate inverse preconditioner is applied to the conjugate orthogonal conjugate gradient
(COCG) iterative method for solving a large systems of linear equations resulting from the use of edge finite element method
(FEM). The proposed preconditioner is derived from basic AINV process by adding pivots compensation strategy to avoid the
potential breakdowns. Numerical experiments on several typical millimeter wave structrues demonstrate the effectiveness of
the MAINV-COCG method, in comparison with other conventional methods. 相似文献
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An efficient preconditioner for electromagnetic integral equations using predefined wavelet packet basis 总被引:1,自引:0,他引:1
Hai Deng Hao Ling 《Antennas and Propagation, IEEE Transactions on》2002,50(11):1633-1640
An approximate-inverse preconditioner based on the predefined wavelet packet (PWP) basis is proposed for the fast iterative solution of electromagnetic integral equations. The PWP basis is designed to achieve a sparse representation of the moment matrix and the preconditioner is constructed by inverting the block-diagonal approximation of the PWP-based moment matrix and transforming the results into the space domain. Numerical results show that the PWP preconditioner is effective in accelerating the convergence rate of iterative solution to moment equations. It is also demonstrated that by properly designing the block-diagonal matrix and computing the matrix elements, the total computational complexity and memory costs for the preconditioner can be kept to O(NlogN). 相似文献
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Ding D.Z. Ru-Shan Chen Fan Z.H. Rui P.L. 《Antennas and Propagation, IEEE Transactions on》2008,56(4):1122-1132
A new set of higher order hierarchical basis functions based on curvilinear triangular patch is proposed for expansion of the current in electrical field integral equations solved by method of moments. The hierarchical two-level spectral preconditioning technique is developed for the generalized minimal residual iterative method, in which the multilevel fast multipole method is used to accelerate matrix-vector product. The sparse approximate inverse (SAI) preconditioner based on the higher order hierarchical basis functions is used to damp the high frequencies of the error and the low frequencies is eliminated by a spectral preconditioner in a two-level manner defined on the lower order basis functions. The spectral preconditioner is combined with SAI preconditioner to obtain a hierarchical two-level spectral preconditioner. Numerical experiments indicate that the new preconditioner can significantly reduce both the iteration number and computational time. 相似文献
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A preconditioner based on the pre-defined wavelet packet (PWP) basis is proposed to accelerate the convergence of iterative solvers for large-scale electromagnetic scattering problems. With the moment equations more efficiently represented using the wavelet packet bases, an effective block-diagonal preconditioner can be constructed. Simulation results show that the convergence rate for inlet-type scatterers can be significantly improved while maintaining a moderate computation cost for the preconditioning operation 相似文献
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Spectral Two-Step Preconditioning of Multilevel Fast Multipole Algorithm for the Fast Monostatic RCS Calculation 总被引:3,自引:0,他引:3
Ping-Liang Rui Ru-Shan Chen Dao-Xiang Wang Yung E.K.-N. 《Antennas and Propagation, IEEE Transactions on》2007,55(8):2268-2275
A new spectral two-step preconditioning of multilevel fast multipole algorithm (MLFMA) is proposed to solve large dense linear systems with multiple right-hand sides arising in monostatic radar cross section (RCS) calculations. The first system is solved with a deflated generalized minimal residual (GMRES) method and the eigenvector information is generated at the same time. Based on this eigenvector information, a spectral preconditioner is defined and combined with a previously constructed sparse approximate inverse (SAI) preconditioner in a two-step manner, resulting in the proposed spectral two-step preconditioner. Restarted GMRES with the newly constructed spectral two-step preconditioner is considered as the iterative method for solving subsequent systems and the MLFMA is used to speed up the matrix-vector product operations. Numerical experiments indicate that the new preconditioner is very effective with the MLFMA and can reduce both the iteration number and the computational time significantly. 相似文献
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计算电磁学中矩量法产生的系统矩阵是病态矩阵,使用迭代方法求解时很难收敛,即使采用现有的预条件技术也经常不收敛.本文借用不适定问题求解中的正则化方法的概念,提出采用正则化矩阵作为矩量法中矩阵方程的一个预条件矩阵.这种预条件方法可以直接改善原矩阵的特征值分布,而且不需要额外的空间来存储预条件矩阵.此外,本文提出通过正则化矩阵方程的L曲线的二阶导数的最大值点来确定正则化参数,使得预条件矩阵方程求解的效率最高.数值实验表明,对于高阶矩量法求解电场积分方程或者磁场积分方程时分别产生的矩阵方程,采用常见的预条件迭代方法求解时收敛很慢,但是采用本文的预条件迭代方法却可以较快地收敛. 相似文献
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目前的热分析工具仅仅支持单芯片的热分析,而堆叠式的三维芯片(3D IC)在同一封装中包含多个堆叠的芯片,对芯片的散热和温度管理提出了更高的要求,并且在热分析过程中需要处理复杂的边界条件.本文提出的最小边界法可以准确且有效地处理堆叠式3D IC的边界条件,简化了三维芯片封装的热模型;同时,本文提出在堆叠式3D IC的稳态热量分析中通过将连接点分类、采用预处理矩阵的方法加速整个全局热传导矩阵的求解过程,从而简化热分析流程.实验结果表明:将有限元方法作为基本的热分析方法,用最小边界法处理堆叠式3D IC,可以准确分析芯片的热分布;同时通过高效的预处理矩阵可以减少共轭梯度法求解中90%的迭代次数. 相似文献
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本文针对体积分方程矩量法(VIE-MoM)分析三维非均匀介质电磁散射问题所导出的大型矩阵方程的求解问题, 基于多层快速极子技术(MLFMA)算法研究了快速近似迭代方法.提出了一种基于MLFMA分组方案对系数矩阵进行重组并提取强耦合元素的近场预条件器的构造方法,有效地提高了广义最小余量法(GMRES)的迭代收敛速度.提出了一种在迭代计算过程中的近似矩阵向量乘积方案,明显降低了单步计算过程中MLFMA远区耦合作用的计算时间.计算实例表明,采用本文的迭代加速技术可使计算速度提高3至5倍,有效地提高了VIE-MoM大型矩阵方程的迭代求解速度. 相似文献