凹角域应力强度因子的外推加速及MG算法  

EXTRAPOLATION ACCELERATION AND PAG METHODS FOR CALCULATING STRESS INTENSITY FACTORS ON RE-ENTRANT DOMAINS

作　　者：穆默 黄鸿慈 

机构地区：[1]中国科学院计算中心

出　　处：《计算数学》1990年第1期54-60,共7页Mathematica Numerica Sinica

基　　金：国家自然科学基金

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.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.

关 键 词：应力强度因子 外推 MG算法 凹角域 

分 类 号：TB115[理学—数学]