三维重调和方程的双方程边界积分方程法  

The Double-equation Method of Boundary Integral Equations for Three-dimensional Biharmonic Equation

作　　者：张新红[1] 同登科[1] 

机构地区：[1]中国石油大学(华东)数学与计算科学学院,东营257061

出　　处：《应用数学学报》2008年第2期333-340,共8页Acta Mathematicae Applicatae Sinica

摘　　要：以守恒积分为工具,推导了三维重调和方程的新的边界积分方程,所得出的新方程与传统的边界积分方程相比较,降低了奇异性,避免了传统边界元方法中的强奇异积分的计算.对不同边界都采用第二类积分方程,得到了三维重调和方程的双方程方法.By means of single and double field conservation integral formulas, the new boundary integral equations for three-dimensional biharmonic equation are derived. Compared with the given boundary integral equations, the singularity of the new equations is reduced. The second kind of boundary integral equations are uesd on different boundary, and the double-equation boundary element method for biharmonic equation is getted

关 键 词：重调和方程 双方程方法 边界积分方程 

分 类 号：O175.2[理学—数学] O241.8[理学—基础数学]