摘要
对一类特殊的近似解空间证明了所得到的近似解在能量模意义下的误差估计定理.它表明,当 Mh 有界时,能量模与 L_2模有估计 O(h+(△t)^(1/2)(M 表示变网格的次数;h 表示有限元的最大边长;△t 表示时间步长).
For a kind of special approximate solution space,the error estimation theorem ofapproximate solution in the meaning of energy model is proved in this paper.It shows there is a esti-mation O(h+(Δh)^(1/2)) for energy and L_2 models if Mh is bounded (M—the number of vary net-work,h—the maximun boundary length of the finited element;Δt—sfep length of the time).
关键词
近似解空间
能量模
误差估计定理
有限元
parabolical variational inequation
approximate solution space
energy model
error estimation theorem
