摘要
本文利用区间分析方法处理边界元法中的域积分和解最终的方程组。在处理域积分时,避开了常规方法的不足,提出了适应各种边界形状的边界元域内积分的区间方法;在求解边界元法中的方程组时,给出了采用区间分析方法的迭代程序,并对如何节省机时,加快收敛速度进行了探讨。数值算例表明理论可靠,精度良好,应用方便,对工程问题电算方法的误差分析和结果整理有一定的实用意义。
Interval analysis methods are used to treat the domain integrals and solve equations of BEM in this paper. Interval method to treat the domain integrals that may be used in different kinds of boundary conditions is given and normal method's shortage is avoided. An effective program of interval analysis to solve equations is given and how to save CPU-time and how to develop caculating productivity are discussed. Some examples demonstrate that the theories of these methods are reliable and easy to use, the result is good. Also, the use of interval anlysis has lots of good effects on difference analysis and result collecting of engineering problems.
