A Solution Method for a Certain Nonlinear Interface Problem in Unbounded Domains

@article{Hu2001ASM,
  title={A Solution Method for a Certain Nonlinear Interface Problem in Unbounded Domains},
  author={Q. Hu and D. Yu},
  journal={Computing},
  year={2001},
  volume={67},
  pages={119-140}
}
In this paper, we consider a kind of nonlinear interface problem in unbounded domains. To solve this problem, we discuss a new coupling of finite element and boundary element by adding an auxiliary circle. We first derive the optimal error estimate of finite element approximation to the coupled FEM-BEM problem. Then we introduce a preconditioning steepest descent method for solving the discrete system by constructing a cheap domain decomposition preconditioner. Moreover, we give a complete… CONTINUE READING