二维位势问题中边界点位势法向导数的一种精确积分解法  

Computing the Flux of Collocation Point with Exact Integration for Two-dimensional Potential Problems

作　　者：安新[1] 张效松[1] 骆宪龙[1] 

机构地区：[1]石家庄铁道学院,工程力学系,河北,石家庄,050043

出　　处：《石家庄铁道学院学报》2005年第2期23-26,41,共5页Journal of Shijiazhuang Railway Institute

摘　　要：通过将内点位势梯度积分方程中的内点移至边界,并利用方向导数公式,推导出了一种求解边界点位势法向导数的积分方程,并以二维位势问题为例,给出了用非连续线性边界元离散这一积分方程时积分计算的精确表达式,用两个数值算例验证了这一精确积分表达式的正确性和精确性。This paper presents a kind of integral equation to evaluate the flux of the boundary point. The integral equation is derived from the integral equation of internal point potential gradient with boundary element method and the formula of direction derivative. By taking the two-dimensional potential problem as an example, the exact integration is also presented for evaluating the integral equation derived in this paper by utilizing the discontinuous linear element to discretize the boundary.

关 键 词：超奇异积分 非连续线性单元 精确积分 位势法向导数 

分 类 号：O343[理学—固体力学]