TY - JOUR T1 - The Coupling of Boundary Integral and Finite Element Methods for the Navier-Stokes Equations in an Exterior Domain AU - Li , Kai-Tai AU - He , Yin-Nian JO - Journal of Computational Mathematics VL - 2 SP - 157 EP - 173 PY - 1989 DA - 1989/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9466.html KW - AB -
In this paper, a technique of coupling variational formulation of FEM and BIE (boundary integral equation) is used to deal with stationary Navier-Stokes equations in an unbounded domain. We discuss well-posedness for the coupling variational problem, the regularization method and FEM-BEM approximation. Finally, operator splitting and optimal control techniques are used to treat the difficulty of nonlinearity and constraints in computer implementation.