伪双曲方程的新分裂式正定混合元方法(英文)  

A New Splitting Positive Definite Mixed Element Method for Pseudo-Hyperbolic Equations

作　　者：刘洋[1] 李宏 高巍[1] 何斯日古楞 

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》2011年第1期104-111,共8页Mathematica Applicata

基　　金：Supported by National Natural Science Fund (11061021);SSF of Chinese Universities of Inner Mongolia Autonomous Region (NJ10006)

摘　　要：提出一类二阶伪双曲型方程的新的分裂正定式混合有限元方法.给出了半离散和全离散格式误差估计及其格式的稳定性.与传统的混合元相比,所提出的格式有几个优点:首先所提出的格式能够分裂成两个独立的积分微分子格式并且不需要求解匹配方程组系统;其次不必满足LBB相容性条件.A new splitting positive definite mixed finite element method is proposed for a class of second-order pseudo-hyperbolic equations. Error estimates for both semidiscrete and fully discrete schemes and the stability of the proposed scheme are derived. Compared to standard mixed methods, the proposed method has several attractive features. First, the proposed procedure can be split into two independent symmetric positive definite integro-differentiat sub-schemes and does not need to solve a coupled system of equations. Moreover,it is not subject to the LBB consistency condition.

关 键 词：伪双曲方程 分裂正定式混合方法 稳定性 误差估计 

分 类 号：O242.21[理学—计算数学]