A Low Order Nonconforming Mixed Finite Element Scheme for Nonlinear Integro differential Equations of Pseudo-hyperbolic Type

摘要

In this paper, a low order triangular nonconforming mixed finite element ~(P_1 + P_0×P_0) scheme was studied for the nonlinear integro-differential equations of pseudo-hyperbolic type. By utilizing the properties of the interpolation, mean-value and derivative delivery techniques, the corresponding convergence analysis, the optimal error estimates of the original variable in -norm and intermediate variable P in L~2 -norm are obtained.