中文摘要：

本文利用FEM—BEM方法研究平面上一类非线性外问题数值方法，给出了基于非线性人工边界条件的耦合问题收敛性结果和误差估计．数值算例验证了我们的理论分析结果．最后，我们提出求解其耦合问题的一种区域分解算法．

英文摘要：

We consider the FEM-BEM method of the computation for nonlinear exterior problem and focus on the convergence result, which is based on nonlinear artificial boundary condition. Moreover, the error estimate is obtained. Some numerical examples are provided to validate the theoretical results. Finally, we present a kind of domain decomposition method to solve the coupling problem.