凹角域应力强度因子的外推加速及MG算法 |
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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 |
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作者姓名: | 穆默 黄鸿慈 |
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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) |
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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
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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 |
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Affiliation: | Mu Mo;Huang Hong-ci Computing Center, Academia Sinica |
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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. |
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