解一类半线性外边值问题的自然边界元与有限元耦合法

In this paper, we combine a finite element approach with the natural boundary element method to stduy the weak solvability and Galerkin approximations of a class of semilinear exterior boundary value problems. Our analysis is mainly based on the variational formulation with constraints. We discuss the error estimate of the finite element solution and obtain the asymptotic rate of convergence O（h^n) Finally, we also give two numerical examples.     

一类各项异性半线性椭圆方程自然边界元与有限元耦合法

将冯康和余德浩提出的自然边界归化方法用于研究一类半线性椭圆方程外区域问题，提出一种自然边界元与有限元的耦合算法、针对某一类半线性椭圆方程，应用变分原理，研究其弱解性及Galerkin逼近，得到有限元解的误差估计及收敛阶O(h^n)，最后给出相应数值例子。