| 凹角域应力强度因子的外推加速及MG算法 |
| |
| 引用本文： | 穆默,黄鸿慈.凹角域应力强度因子的外推加速及MG算法[J].计算数学,1990,12(1):54-60. |
| |
| 作者姓名： | 穆默 黄鸿慈 |
| |
| 作者单位： | 中国科学院计算中心
(穆默)，中国科学院计算中心(黄鸿慈) |
| |
| 摘 要： | §1.引言 1]最早讨论将外推用于嵌套迭代,2]-4]则讨论外推用于多重网格法,两者都没有涉及凹角域的情况.在凸域上,有渐近展式(例如5]): u~h(x)=u~I(x)+d_1(x)h~2+O(h~τ),x∈Ω,(1.1)其中,τ> 2,u~h和u~I分别为椭圆边值问题解u的线性有限元逼近和线性插值函数.而
|
| 关 键 词： | 应力强度因子 外推 MG算法 凹角域 |
EXTRAPOLATION ACCELERATION AND PAG METHODS FOR CALCULATING STRESS INTENSITY FACTORS ON RE-ENTRANT DOMAINS |
| |
| Institution: | Mu Mo;Huang Hong-ci Computing Center, Academia Sinica |
| |
| Abstract: | For re-entrant domains, a discretized method for calculating stress intensity fa-ctors is given and at the same time the asymptotic expansion is obtained. Then weconstruct a nested MG method combined with extrapolation, by which the approxi-mation with high order discretized error can be reached in a cost of O(N) computa-tional work, where N is the number of nodal points. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
|
