摘要
以椭圆外区域上Helmholtz方程为例,研究一种带有椭圆人工边界的自然边界元与有限元耦合法,给出了耦合变分问题的适定性及误差分析并给出数值例子.理论分析及数值结果表明,用方法求解椭圆外问题是十分有效的.为求解具有长条型内边界外Helmholtz问题提供了一种很好的数值方法.
In this paper, the coupling method is discussed of natural boundary element and finite element method for solving 2D exterior Helmholtz problem with elliptic artifical boundary. The well-posdeness is studied of the variational problem, and error estimates of the approximate solution is given. A numerical example is presented. Theoretical analysis and numerical examples show that our method is effective.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第18期294-303,共10页
Mathematics in Practice and Theory
基金
国家自然科学基金(10471067)
江苏省基础研究计划(自然科学基金)(BK2006215)
