非线性抛物型偏积分微分方程的H^1-Galerkin混合有限元方法

An H^1-Galerkin Mixed Finite Element Method for Nonlinear Parabolic Partial Integro-differential Equations

本文给出一类非线性抛物型偏积分微分方程的H^1-Galerkin混合有限元方法.给出了一维空间的半离散、全离散格式及最优阶误差估计,并将该方法推广到二维和三维空间.

In this paper, an H^1-Galerkin mixed finite element is proposed to simulate nonlinear parabolic partial integro-differential equations. The problem is considered in ndimension （n ≤3） space, respectively. The optimal error estimates of the semi-discrete and fully discrete H^1-Galerkin mixed finite element are established.