一类新的求解双边障碍问题的数值方法  

A new numerical method for solving a bilateral obstacle problem

作　　者：冉清华 程晓良[1] RAN Qing-hua;CHENG Xiao-liang(School of Mathematical Science,Zhejiang University,Hangzhou 310000,China;School of Mathematics and Statistics,Guizhou University,Guiyang 550000,China)

机构地区：[1]浙江大学数学科学学院,浙江杭州310000 [2]贵州大学数学与统计学院,贵州贵阳550000

出　　处：《高校应用数学学报（A辑）》2021年第2期208-216,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：针对双边障碍问题的离散互补形式,提出了一类新的格式将其等价转化为方程组的形式,并采用牛顿迭代法进行求解.实验结果显示所提算法能快速,有效地计算出数值解和接触集.Aiming at the discrete complementary form of the bilateral obstacle problem,a new format is proposed to transform the original problem into an equation system,and then the new system is solved by the Newton iteration method.Ex perimental results show that the proposed algorithm can quickly and effectively calculate the numerical solution and contact set.

关 键 词：变分不等式 障碍问题 牛顿迭代法 自由边界 

分 类 号：O241.82[理学—计算数学]