摘要
由于边界元法依赖于微分方程的基本解,因此用于计算非线性问题有很大的困难。对于包括线性算子L及非线性算子N的方程 L(u)+N(u)=F(x) (1)已有人作过初步的讨论。本文提出的方法是在区域及边界上同时选取节点,对内部节点及边界节点的方程耦合求解。结果是理想的。设线性算子L有广义格林公式,D(?)R^n,D的边界T充分光滑。再设u~*是线性算子L的基本解。
In this paper, the boundary element method for a class of nonlinear partial differential equation is presented. The nonlinear equation which has both nonlinear and linear operators can be solved by this method. Firstly, the integral equations are got by using Green's formula and the fundamental solution of the linear operator. Secondly, the domain and the boundary are dissected and the systems of nonlinear algebraic equations are got. Finally, the system of nonlinear algebraic equations of the domain is coupled with one of the boundaries and the numerical solution is got by BROWN iteration method. An example is given which shows that the suggested method is feasible.
出处
《数值计算与计算机应用》
CSCD
北大核心
1991年第3期193-195,共3页
Journal on Numerical Methods and Computer Applications
