摘要
将最小二乘混合有限元法与特征有限元法有效地结合起来处理对流占优扩散方程。通过适当选取最小二乘能量泛函,数值方法可以分裂成2个独立的子格式,并且数值方法可以同时逼近解及其梯度,选取较大的时间步长。收敛性分析表明在一定范数意义下,这种方法具有最优收敛阶。
A least-squares mixed finite element procedure with the method of characteristics for convection-dominated diffusion equations was presented. By properly selecting the least-squares functional, the procedure can be split into two independent subprocedures. The solution u and the flux a can be directly obtained. Moreover the method permits the use of large steps. The optimal convergence analysis was established.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2008年第8期6-10,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金数学天元基金资助项目(10726032)
关键词
最小二乘混合有限元
特征
对流占优扩散方程
收敛性分析
least-squares mixed finite element
characteristics
convection-dominated diffusion equafiom
convergence analysis
