FINITE ELEMENT NONLINEAR GALERKIN COUPLINGMETHOD FOR THE EXTERIOR STEADY NAVIER-STOKESPROBLEM

作     者：Yin-nian He Kai-tai Li Fu-hai Gao(College of Science, Xi’an Jiaotong University, Xi’an 710049, China) 

作者机构：Xian Jiao Tong Univ Coll Sci Xian 710049 Peoples R China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1999年第17卷第6期

页      面：595-608页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家973计划 国家自然科学基金 

主　　题：Navier-Stokes equations Oseen equations boundary integral finite element nonlinear Galerkin method 

摘      要：In this paper we represent a new numerical method for solving the steady Navier-Stokes equations in three dimensional unbounded domain. The method consists in coupling the boundary integral and the finite element nonlinear Galerkin methods. An artificial smooth boundary is introduced seperating an interior inhomogeneous region from an exterior one. The Navier-Stokes equations in the exterior region are approximated by the Oseen equations and the approximate solution is represented by an integral equation over the artificial boundary. Moreover, a finite element nonlinear Galerkin method is used to approximate the resulting variational problem. Finally, the existence and error estimates are derived.