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.
出处
《西安理工大学学报》
CAS
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)
关键词
非线性
弦平衡方程
有限元
两重网格
收敛性
nonlinear
chord balance equation
finite-element
two-grid method
convergence
