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 od, continuou ror estlnlates s in space but discontinuous in time. The stability, uniqueness and existence, er of the approximate solution are proved.
出处
《应用数学》
CSCD
北大核心
2008年第3期424-429,共6页
Mathematica Applicata
基金
国家自然科学基金(10601022)
内蒙古自然科学基金(200607010106,200607010806)
关键词
四阶线性抛物型积分-微分方程
混合有限元法
时间间断时空有限元法
Fourth order met hod
Space time finite elem parabolic integro-differential ent method discontinuous in problems
Mixed finite element