CAJ | 학술논문

本文研究无界区域Stokes方程外问题的利用有限元法和自然边界归化的非蕈叠型区域分解算法,此方法对无界区域Stokes问题非常有效.给出连续和离散情形的D-N算法及其收敛性分析,得到算法收敛的充要条件及充分条件,并得到最优的松弛因子和压缩因子,最后给出数值算例予以验证.
본문연구무계구역Stokes방정외문제적이용유한원법화자연변계귀화적비심첩형구역분해산법,차방법대무계구역Stokes문제비상유효.급출련속화리산정형적D-N산법급기수렴성분석,득도산법수렴적충요조건급충분조건,병득도최우적송이인자화압축인자,최후급출수치산례여이험증.
In this paper,a non-overlapping domain decomposition method by using of the FEM and the natural boundary reduction is investigated for solving the exterior boundary value problems ofthe Stokes equation.This method is very effective for the Stokes problem over unbounded domains especially.The D-N alternating algorithm fincluding continuous and discrete form) and its convergence analysis are presented,also the necessary and sufficient condition for convergence of this method is gained,then the optimal relaxation factor is obtained,finally some numerical results are illustrated.