摘要
本文提出一类称之为Ｓｏｂｏｌｅｖ－Ｖｏｌｔｅｒｒａ投影的有限元投影，研究了有关性质并将之 应用于伪抛物型积分微分方程有限元方法、伪双曲型积分微分方程有限元方法以及三维伪 双曲型积分微分方程交替方向有限元方法的数值分析。
A new finite element projection (so-called Sobolev-Volterra projection) is in troduced, and its properties are studied. Moreover, its applications to the analysis of finite elememt methods for pseudo-parabolic integro-differential equation and for pseudo- hyperbolic integro-differential equation, and of alternating direction finite element method for 3-dimensional pseudo-hyperbolic integro-differential equation are investigated.
出处
《应用数学学报》
CSCD
北大核心
2001年第3期441-455,共15页
Acta Mathematicae Applicatae Sinica
基金
国家教委博士点基金资助项目.
