一维非线性弦平衡方程的有限元两重网格算法  

Finite-Element Two-Grid Algorithm of 1D Nonlinear Chord Balance Equation

作　　者：张爱君[1] 秦新强[1] 焦建英[1] 魏红记[1] 

机构地区：[1]西安理工大学理学院,陕西西安710048

出　　处：《西安理工大学学报》2007年第3期298-300,共3页Journal of Xi'an University of Technology

基　　金：西安理工大学科研基金资助项目(108-220502)

摘　　要：针对一维非线性弦的平衡方程,构造了有限元两重网格算法,该算法只需要在粗网格上进行非线性迭代,而在所需要求解的细网格上进行一次线性运算即可。与非线性迭代直接求解结果进行对比可知,有限元两重网格算法在保持了计算精度的前提下,所用的时间更短,从而证明了该算法是一种求解非线性问题的高效方法。For one dimensional nonlinear chord balance equation, a two-grid method of finite-element algorithm is constructed. This algorithm needs only to have the nonlinear iteration executed on the coarse grid, while only one linear operation should be carried out on the fine-grid solution required. It can be known from the contrast with the results obtained from the non-linear direct iterative solution that in the prerequisite of maintaining calculation accuracy, the finite-element two-grid algorithm can use the shorter time, whereby proving that this algorithm is a kind of high-efficient method for obtaining the nonlinear solution to the problems.

关 键 词：非线性 弦平衡方程 有限元 两重网格 收敛性 

分 类 号：O241.82[理学—计算数学]