摘要
利用混合有限元方法将高阶方程降阶,然后利用空间连续而时间允许间断的时空有限元方法离散低阶方程,构造了四阶抛物方程的间断时空混合有限元格式,证明其离散解的稳定性和收敛性.
The discontinuous space-time mixed finite element method for fourth order parabolic problems is constructed by lowering the order of the equation with mixed finite element method ,and discretizing the lowered second order equation with space-time finite element method which is continuous in space but discontinuous in time. The stability and error estimates of its approximate solution are proved.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期19-22,共4页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金数学天元基金(A0324652)
内蒙古自然科学基金(200308020101)
内蒙古大学博士科研启动项目和513项目
关键词
四阶抛物方程
混合有限元法
时间间断时空有限元法
fourth order parabolic problem
mixed finite element method
space-time finite ele ment method discontinuous in time
