摘要
给出了无界区域上的一类各向异性拟线性问题的Dirichlet-Neumann交替算法.基于自然边界归化理论和求解外问题的区域分解的思想来构造相应的算法,通过引入圆形人工边界,得到圆形人工边界上的自然积分方程,然后对该算法进行收敛性分析.最后通过数值实验验证了该方法的可行性.
In this paper,a class of anisotropic quasi-linear problem on unbounded regions is solved by Dirichlet-Neumann alternating algorithm.Based on the theory of natural boundary reduction and the idea of domain decomposition,the algorithm is offered,the natural boundary integral equation of the circular is obtained,and the algorithm’s convergence is given.Numerical experiment is offered to show the feasibility of the method.
作者
印良壮
孙伦开
YIN Liangzhuang;SUN Lunkai(School of Applied Mathematics,Nanjing University of Finance&Economics,Nanjing 210023,China)
出处
《淮海工学院学报(自然科学版)》
CAS
2018年第4期1-5,共5页
Journal of Huaihai Institute of Technology:Natural Sciences Edition
基金
江苏省自然科学青年基金资助项目(BK20141008)