【摘要】 基于Raviart-Thomas空间Vh×Wh,本文研究了双曲型积分微分方程初边值问题混合元方法的L2,L∞误差估计。给出了未知函数u,ut和乱utt伴随速度P,散度divP逼近解的最优阶L2误差估计。还得到了逼近u及P的拟最优阶L∞误差估计。更多还原

【Abstract】 The purpose of the paper is to investigate the convergence of the mixed finite element method for the initial-boundary value problem of the hyperbolic type integro-differential equation based on the Raviart-Thomas space Vh×Wh. Optimal order L2, L∞ estimates are obtained for the approximation of the unkown functions u,ut, utt, the associated velocity P and divP. Quasi-optimal order L∞ estimates are also obtained for the approximations of u and P.更多还原