伪双曲方程的新混合有限元方法(英文)  

A New Mixed Finite Element Method for Pseudo-Hyperbolic Equation

作　　者：刘洋[1] 李宏 

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021

出　　处：《应用数学》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

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...

关 键 词：伪双曲方程 H1-Galerkin扩展混合有限元方法 半离散和全离散格式 误差估计 

分 类 号：O241.82[理学—计算数学]