摘要
构造四阶抛物型积分-微分方程的混合间断时空有限元格式,利用混合有限元方法将高阶方程降阶,利用空间连续而时间允许间断的时空有限元方法离散方程,证明离散解的稳定性,存在唯一性和收敛性.
We construct the mixed discontinuous space-time finite element method for fourth order parabolic integro-differential problems. Lower the order of the equation by mixed finite element method. And discretize the equation by space-time finite element method, continuous in space but discontinuous in time. The stability, uniqueness and existence, error estimates of the approximate solution are proved.
出处
《计算数学》
CSCD
北大核心
2007年第4期413-420,共8页
Mathematica Numerica Sinica
基金
国家自然科学基金(10601022)
内蒙古自然科学基金(200607010106)
内蒙古大学513项目.
关键词
四阶抛物型积分-微分方程
混合有限元法
时间间断时空有限元法
fourth order parabolic integro-differential problems, mixed finite element method, space time finite element method discontinuous in time
