furthermore, we can get the equivalent variational form for the reduced boundary value problem . finally we use the finite clement method to get an approximate solution 進(jìn)而我們可以得到該約化邊值問題的等價變分形式將其用于有限元計算。
but few papers have numerical research of the problem . the present paper deals with the numerical solution by means of stabilized finite element methods . that g / l-s finite element discrete form is used in this paper has the following reasons : ( 1 ) a g / l-s stabilized finite element method does n't request bb condition come into existence; ( 2 ) paper [ l ] is an successful application of the g / l-s method [ 5 ] to n-s equations and its altrenative [ 6 ] to nonlinear equations; ( 3 ) compared with n-s equations, the stationary dissymmetry flow equations are more complicated which increases the difficulties of theory and numerical analysis; ( 4 ) the mix variational form is educed and existence and uniqueness of the solution are proved 本文之所以采用galerkin/最小平方法有如下原因:(1)g/l-s穩(wěn)定化有限元方法,它不要求bb條件成立,該方法應(yīng)用到流體等線性問題上已經(jīng)取得了很大成功,而對非線性問題卻研究很少;(2)文章[1]是galerkin/最小平方法[6]在n-s方程及[8]在非線性方程上地應(yīng)用,已經(jīng)取得了一定成功;(3)與文章[1]中n-s方程組相比而言,定常非對稱流動方程組增多了方程(1.3),因此理論和數(shù)值分析難度進(jìn)一步增大;(4)本文從有限元角度分析,導(dǎo)出了問題的混合變分格式,證明了定常非對稱流動方程變分格式解的存在唯一性。