| 动态弹塑性扭转问题的双重网格投影法 |
| |
| 引用本文： | 沈洁,丁睿. 动态弹塑性扭转问题的双重网格投影法[J]. 苏州大学学报(医学版), 2008, 24(1): 7-12 |
| |
| 作者姓名： | 沈洁 丁睿 |
| |
| 作者单位： | 苏州大学数学科学学院,江苏苏州215006 |
| |
| 基金项目： | 国家自然科学基金 , 江苏省高校自然科学基金 |
| |
| 摘 要： | 给出了动态弹塑性扭转问题的双重网格投影法．采用向后Euler时间分离方案将抛物型变分不等式化为椭圆变分不等式，利用罚方法转换为非线性罚形式的变分方程．由Marchuk-Yanenko时间分离法将罚方程化为两个嵌套求解的子问题．针对两个问题的求解网格不同，引入双重网格投影方法，建立了非连续网格近似函数与另一种连续网格近似函数之间的联系．并给出了算法实现的框图和数值算例．
|
| 关 键 词： | 动态弹塑性扭转问题 双重网格法 抛物型变分不等式 |
| 文章编号： | 1000-2073（2008）01-0007-06 |
| 收稿时间： | 2006-11-06 |
| 修稿时间： | 2006-11-06 |
A two-grids projection algorithm for dynamic elasto-plastic torsion problem |
| |
| Shen Jie,Ding Rui. A two-grids projection algorithm for dynamic elasto-plastic torsion problem[J]. Journal of Suzhou University(Natural Science), 2008, 24(1): 7-12 |
| |
| Authors: | Shen Jie Ding Rui |
| |
| Affiliation: | (School of Mathematic Science,Suzhou Univ. ,Suzhou 215006 ,China) |
| |
| Abstract: | A two-grids method for the dynamic elasto-plastic torsion problem is presented. First,backward Euler time scheme is used to transform the original problem into an elliptic variational inequality;then a nonlinear penalized variational equation is obtained by penalty method. Applying Marchuk-Yanenko time splitting scheme,it reduces to two coupling subproblems. For the different meshes of the two problems,a two-grids projection algorithm is introduced to establish the relation between discontinuous and continuous approximations on different meshes. Finally the algorithm implement and numerical experiments are presented. |
| |
| Keywords: | dynamic elasto-plastic torsion problem two-grids method parabolic variational inequalities |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
