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.
A new lowest order triangular mixed finite element formulation for the quasi- linear integro-differential equation of parabolic type is constructed. By utilizing the properties of the klterpolat^on 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.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第17期242-246,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(10971203
11271340)
高等学校博士学科点专项基金(20094101110006)
关键词
拟线性抛物积分微分方程
三角形元
新混合元格式
超收敛
quasi-linear integro-differential equation of parabolic type
triangular finite ele-ment
new mixed finite element formulation
superconvergence
