边界积分方程——非连续边界元离散方法及其应用  

Several problems associated with discontinuous boundary elements

作　　者：张效松[1] 叶天麒[2] 葛守廉 

机构地区：[1]石家庄铁道学院力学系,河北石家庄050043 [2]西北工业大学飞机系,陕西西安710072

出　　处：《计算力学学报》2001年第3期331-334,共4页Chinese Journal of Computational Mechanics

摘　　要：利用非连续元离散边界积分方程 ,有效地解决了‘角点效应’问题 ,对影响非连续元精度和分析效率的几个问题从数值计算的角度进行了讨论。将非连续边界元用于自适应边界元分析 ,给出了自适应边界元误差指示确定的一种方法 ,通过对具体实例分析表明了所给方法的可行性。Accuracy of discrete model and optimum position associated with discontinuous boundary element analysis are studied. It is demonstrated from the numerical implementation that optimum collocation factor for the interpolating function presented in this paper is 0.5 and the proper choice of superparametric or subparametric elements can improve the efficiency of the boundary element analysis. The discontinuous boundary elements are employed for analysis of adaptive boundary elements. The discontinuity of physical variables for adjacent elements, which is extrapolated from collocation points, is taken as error indicator. The numerical results presented in this paper illustrate the feasibility of the proposed approach.

关 键 词：非连续边界元 配位点 自适应边界元 误差指示 平面问题 

分 类 号：O343.1[理学—固体力学]