Interfacing the finite-element method with the method of characteristics in self-consistent electrostatic field models
Interfacing the finite-element method with the method of characteristics in self-consistent electrostatic field models
复制标题
将有限元方法与自洽静电场模型中的特征方法相结合
DOI：
10.1109/28.31225
复制
发表时间：
1989
影响因子：
4.4
通讯作者：
J. Hoburg
中科院分区：
文献类型：
--
作者：
A. J. Butler;Z. Cendes;J. Hoburg
描述了两种方法，将用于计算已知电荷分布的电场结构的有限元方法与用于计算已知电场结构的电荷分布的特征方法相结合，从而获得涉及双向源场耦合的静电系统的自洽描述。这两种方法都克服了过去限制特征方法学有限元法应用的困难。一种方法涉及基于 Delaunay 算法、在每次源场迭代时使用直接位于特征线上的有限元节点进行自动重新三角测量。另一种方法涉及将特征线通过固定的有限元网格投影回注入电极上的起始点。两种方法都利用有限元内的二阶势变化，因此涉及每个单元内的弯曲特征轨迹。将每种方法的结果与先前关于自洽源场耦合的工作的结果进行了比较。 >
Two methods are described for interfacing the finite-element method, used to calculate the electric field structure for a known charge distribution, with the method of characteristics, used to calculate the charge distribution for a known electric field structure, so as to obtain self-consistent descriptions of electrostatic systems involving two-way source-field coupling. Both methods circumvent difficulties which have limited application of the finite-element method of characteristics methodology in the past. One method involves automatic retriangulation, based upon the Delaunay algorithm, on each source-field iteration, using finite-element nodes lying directly upon characteristic lines. The other method involves projection of characteristic lines back through a fixed finite-element mesh to their initiation points on the injection electrode. Both methods make use of second-order potential variations within finite elements and thus involve curved characteristic trajectories within each element. Results of each method are compared with those of previous work on self consistent source-field coupling. >