摘要
构造分析一类二阶伪双曲方程的H1-Galerkin扩展混合有限元方法,该方法采用了扩展混合有限元方法和H1-Galerkin混合有限元方法相结合的技巧.新的格式同时保持了扩展混合有限元方法和H1-Galerkin混合有限元方法的优点.该混合格式与标准的混合格式相比能同时逼近三个变量:未知函数、梯度和流量(系数乘以梯度),并且不必满足LBB相容性条件.
An H1-Galerkin expanded mixed finite element method which combines expanded mixed finite element and H1-Galerkin mixed finite element method is constructed and analyzed for a class of second order pseudo-hyperbolic equations.The new formulation not only keeps the advantages of expanded mixed formulation but also keeps the advantages of H1-Galerkin mixed formulation.The new mixed formulation expands the standard mixed formulation in the sense that three variables are explicitly treated:the scalar unknown,its...
出处
《应用数学》
CSCD
北大核心
2010年第1期150-157,共8页
Mathematica Applicata
基金
Supported by the National Natural Science Fund(10601022)
NSF of Inner Mongolia Autonomous Region(200607010106)
513 Fund and Youth Science Fund (ND0702) in Inner Mongolia University
