抛物型积分微分方程一个新的非协调混合元格式

摘要

A new nonconforming mixed finite element formulation is proposed for the integro-differential equation of parabolic type. By utilizing the properties of the interpolation on the element and derivative delivery techniques on the square meshes, the corresponding convergence analysis is presented, and the optimal order error estimates in H1-norm and in L2-norm are obtained.%对抛物积分微分方程构造了一个新的非协调混合元格式.在正方形网格上直接利用单元插值的性质及导数转移技巧,得到了相应的收敛性分析和H1-模及L2-模下的最优误差估计.