【Abstract】 In this paper the numerical approximation of the exterior problem of Poisson equation in 3-D space is considered. By introducing a spherical artificial boundary the exterior domain is divided into a bounded part and an unbounded part.On the artificial boundary we derived a series of the high-order local artifical boundary conditions. Then we get the reduced approximate boundary value problems defined on the bounded domain. Error analysis between the original problem and the reduced one is obtained. Finally, the numerical example shows the effectiveness of the given method.更多还原