非线性双曲型积分微分方程有限元逼近的误差分析

ERROR ANALYSIS OF THE FINITE ELEMENT APPROXIMATIONS FOR HYPERBOLIC PARTIAL INTEGRO-DIGGERENTIAL EQUATIONS

考虑非线性双曲型积分微分方程半离散有限格式 ,得到H1超收敛和最优阶L∞ 和Wl,∞ 模误差估计 .

Semi discrete finite element approximations schemes of nonlinear hyperbolic partial integro differential equations are considered.Superconvergence order in H 1 and optimal maximum norms in L ∞ and W 1,∞ are derived.The results in this paper perfect the theory of Finite Element Methods.