巨大节点数有限元运算的波前法综述及改进

Summary and Improvement on Wave Front Method in Numerical Calculation of Finite Element Method with Huge Node Quantity

计算机的内存限制使有限元法的节点数不能太大,解决巨大节点数有限元问题的方法主要是波前法及其改进算法。在分析波前法特点、改进算法和应用领域的基础上,提出了矩阵分解、大数处理、节点划分及编号、松弛因子、大波浪等改进算法,从而突出了分散存储的优势。采用C语言进行了数值试验,验证了一些改进算法,可增强有限元计算程序的计算能力。

The quantity of finite element node is limited by the computer.The wave front method and its improvement are the current resolving method.Based on the analysis of characteristic,improvement and application of wave front method,some improved arithmetic are proposed,such as matrix decomposing,large number processing,node dividing and numbering,calculating factor including,big wave setting.Some improved arithmetic methods are validated by C computing language.If those improvements are applied into the finite element computing program,the computing ability will be strengthened.