【摘要】 对一类拟线性抛物型积分微分方程构造一个新的最低阶三角形协调混合元格式,在抛弃传统有限元分析中不可缺少的工具Ritz-Vblterra投影的前提下,直接利用单元插值的性质及积分恒等式技巧,给出了相应变量的超逼近及超收敛结果,弥补了已有文献的不足.更多还原

【Abstract】 A new lowest order triangular mixed finite element formulation for the quasilinear integro-differential equation of parabolic type is constructed.By utilizing the properties of the interpolation on the element and integration identity technique,the supercolose and superconvergence results for the corresponding varibles are obtained without Ritz-Volterra projection,which is one of indispensable tools in tradition finite element analysis.Thus the deficiencies in the previous liteature are overcome.更多还原