problem n. 1.问题,课题;疑难问题;令人困惑的情况。 2.【数、物】习题;作图题。 3.(象棋的)布局问题。 the problem of unemployment 失业问题。 His whole conduct is a problem to me. 他的一切行为我都不理解。 adj. 1.成问题的;难处理的。 2.关于社会问题的。 a problem child 【心理学】问题儿童;难管教的孩子。 a problem novel [play] (反映社会问题等的)问题小说[戏剧]。 sleep on [upon, over] a problem 把问题留到第二天解决。
Based on this fomulation, expanded mixed finite element approximations of the hyperbolic problems are considered . optimal order error estimates for the scalar unknwon, its gradient and its flux in l2-norms are obtained for this new mixed formulation 给出了逼近未知函数、未知函数梯度和流体流量的最优l~2模误差估计以及拟最优的最大模误差估计。
In chapter three, we consider the finite volume element mstheods for nonlinear hyperbolic problems on the basic of the chapter three, optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are also demonstrated 在第二章的基础上也得到了h~1,l_2和w~(1,)误差估计以及l_最优误差估计和近似解和真解的广义椭圆投影间的超收敛估计。
In this paper, we consider mixed finit element methods for the initial-boundary value problems of two order hyperbolic equations and linear integro-differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems . in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux 本文讨论了二阶双曲方程和线性抛物型积分微分方程方程初边值问题的混合有限元方法,得到了这两类问题混合有限元离散格式的误差估计。第一章讨论二阶双曲初边值问题的扩展混合元方法。该方法能同时逼近未知函数、未知函数的梯度和流体的流量,较好的模拟了带有混合型边界条件的二阶双曲问题。