一类半线性双曲方程非协调有限元  

Nonconforming FEM for a Kind of Semi-linear Hyperbolic Equations

作　　者：潘爱林[1] 王家正[2] 

机构地区：[1]云南民族大学数计学院 [2]合肥师范学院数学系

出　　处：《四川理工学院学报（自然科学版）》2009年第2期18-20,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：文章主要讨论了一类半线性双曲方程的非协调有限元法。首先,给出所讨论问题的半离散格式。其次,对所讨论问题的真解与所给出逼进格式离散解之间的误差估计进行研究。最后,利用Riesz投影,获得相应的误差估计。In this paper, a kind of semi-linear hyperbolic equations have mainly been discussed with the nonconforming finite element method. Firstly, the semi-discrete approximation scheme of the discussed problem is given. Secondly, some error estimations between the ture solution of the discussed problem and the solution of the approximation scheme are researched. Finally, the corresponding error estimations are obtained by means of the Riesz projection.

关 键 词：半线性 双曲型方程 半离散 非协调有限元 误差估计 

分 类 号：O241.82[理学—计算数学]