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具两组高阶基本解系列的MRM边界积分方程
引用本文:李炳杰,王国正.具两组高阶基本解系列的MRM边界积分方程[J].应用数学学报,2000,23(4):534-542.
作者姓名:李炳杰  王国正
作者单位:空军工程大学电讯工程学院基础部,西安,710077
摘    要:以双参数地基上板弯曲问题为模型,利用两组高阶基本解进行交替多重替换,得到边界积分方程,并证明该方程与边值问题常规的边界积分方程本质是一致的,具更便于计算。

关 键 词:MRM方法  基本解  边界积分方程  边值问题

MRM BOUNDARY INTEGRAL EQUATION OF TWO KINDS OF HIGHER-ORDER FUNDAMENTAL SOLUTION
LI BINGJIE,WANG GUOZHENG.MRM BOUNDARY INTEGRAL EQUATION OF TWO KINDS OF HIGHER-ORDER FUNDAMENTAL SOLUTION[J].Acta Mathematicae Applicatae Sinica,2000,23(4):534-542.
Authors:LI BINGJIE  WANG GUOZHENG
Abstract:The boundary integral equation for boundary value problems of plates modeling on two-parameter foundation is established by means of the multiple reciprocity of the two kind of higher-order fundamental solution. One can conclude that the integral equation derived from Multiple Reciprocity Method (MRM) is strictly identical to that in terms of the conventional integral equation. The MRM formulation is also more convenient for practical numerical computations.
Keywords:MRM method  fundamental solution  boundary integral equatH
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