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1.A more complete physical model of the device is adopted,and the sparse matrix technique of symbol Lu factorization,the self-adaptive finite element mesh refinement technique aed the modified nonlinear iteration technique are used in the numerical method. Thereby the speed of device analysis is increased con siderably.
它采用了较完全的器件物理模型,同时在数值方法上采用了符号Lu分解的稀疏矩阵技术,有限元网格的自适应剖分技术及改进的非线性迭代技术,使器件分析的速度显著提高。收藏指正
2.Meantime, the application of second order iteration methodmakes it possible to fully use the advantage of fixed Jacobian matrix and corresponding factor-table technique, which largely reduces the computational requirement.
同时,二阶迭代法的采用,使任意负荷水平下的每一次内迭代中潮流雅可比矩阵恒定,可以充分利用稀疏技术,大大减少计算量,节约了计算时间。收藏指正
3.This paper gives a brief introduction to our research work in this area,including:parallel computation for element stiffness matrices, parallel direct solutions for finite element equations, parallel iteration solutions for finite element equations, parallel direct integration algorithm in dynamic analysis of structures, parallel algorithm for generalized eigenproblems and the applications of EBE technique in finite element structural analysis.
涉及单元刚度矩阵的并行计算、有限元方程组的并行直接解法、有限元方程组的并行迭代解法、结构动力分析并行直接积分法、广义特征值问题的并行算法以及EBE(Element-By-Element)技术在有限元结构分析并行处理中的应用等研究领域。收藏指正
4.It is proved that the Aitken technique, used to accelerate the convergence of the iteration χ_((?) +1)=g(χ_(?) ),is actually the same as the linear interpolation method used for the solution of the equation χ-g(χ)=0. Based on this fact the properties of Steffensen method are briefly discussed.
证明了加速迭代x_(x+1)=g(x_n)收敛的Aitken技术,实质上是求解z-g(x)=0的线性插值法.收藏指正
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