Solution of exterior problem using ellipsoidal artificial boundary
作者:
Highlights:
•
摘要
In this paper, we present a general ellipsoidal artificial boundary method for three-dimensional exterior problem. The exact artificial boundary condition, which is expressed explicitly by the series concerning the ellipsoidal harmonic functions, is derived and then an equivalent problem in a bounded domain is presented. The error estimates show that the convergence rate depends on the mesh parameter, the number of terms used in the exact artificial boundary condition, and the location of the artificial boundary.
论文关键词:65N30,65N38,33E10,Artificial boundary method,Ellipsoidal harmonic functions,Exterior problem,Finite element method,Lamé functions,Natural boundary reduction
论文评审过程:Received 20 November 2008, Revised 8 February 2009, Available online 24 March 2009.
论文官网地址:https://doi.org/10.1016/j.cam.2009.03.009