Improving the Newmark time integration scheme in finite element time domain methods
Improving the Newmark time integration scheme in finite element time domain methods
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DOI：
10.1109/lmwc.2005.859968
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发表时间：
2005-12
影响因子：
3
通讯作者：
W. A. Artuzi
中科院分区：
文献类型：
--
作者：
W. A. Artuzi
为了抑制低频寄生响应，对电场矢量波动方程的时间步长解的纽马克公式进行了修改。经验证，该方法具有将求解线性方程组所需的迭代次数减半的优点，并且表明设置每个时间步的迭代次数比建立残差容差来验证收敛性更方便。此外，通过数值示例测试了对角和不完全 Cholesky 预处理器的使用，它们在 CPU 时间方面似乎是等效的，因此在内存存储和编程设施方面，第一个是首选。
The Newmark formulation for the time-stepping solution of the electric field vector wave equation is modified in order to suppress low-frequency spurious responses. It is verified that the proposed method has the advantage of halving the number of iterations necessary to solve the system of linear equations and it is shown that setting the number of iterations per time step can be more convenient than establishing a residual tolerance to verify convergence. In addition, the use of diagonal and incomplete Cholesky preconditioners are tested through numerical examples and they appear to be equivalent in terms of CPU time, leaving the first as the preferable choice concerning memory storage and programing facilities.