【摘要】 <正> 其中,函数φ=φ（x,y）,Ω是求解区域,并划分为N_e个单元△Ω_i,在单元上作插值函数φ=N^Tφ_c,N为插值基函数,φ_c=（φ₁,φ₂,…φ_s）^T为单元结点上的函数值,s为单元结点数,φ_e的下标为单元的局部编号。 在单元△Ω_i上有更多还原

【Abstract】 In this paper, a direct numerical method is suggested for problems of functional variation.First, the functional variation problem is transformed numerically into a suitable extreme valueproblem which approximates the original problems. Then a valid algorithm is constructed forsolving the extreme value problem. The algorithm is simple and can be treated by microcom-puters. Using that method we have obtained some successful results for solving tbe flowwith free surface. The method is shown to be a new valid way to solving functional varia-tion problems, especially nonlinear functional variation problems.更多还原