TY - EJOU AU - Yu, De-hao TI - The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain T2 - Computer Modeling in Engineering \& Sciences PY - 2008 VL - 35 IS - 3 SN - 1526-1506 AB - In this paper, we apply the artificial boundary method to solve a three-dimensional nonlinear interface problem on an unbounded domain. A spherical or ellipsoidal surface as the artificial boundary is introduced. The exact artificial boundary conditions are derived explicitly in terms of an infinite series and then the well-posedness of the coupled weak formulation in a bounded domain, which is equivalent to the original problem in the unbounded domain, is obtained. The error estimate depends on the mesh size, the term after truncating the infinite series and the location of the artificial boundary. Some numerical examples are presented to demonstrate the effectiveness and accuracy of this method. KW - Artificial boundary method KW - Dirichlet to Neumann mapping KW - Finite element method KW - Natural integral operator KW - Nonlinear interface problem DO - 10.3970/cmes.2008.035.227