非线性双曲型方程的插值全离散有限元方法的整体超收敛性  

Global Superconvergence for the Interpolated Fully Discrete Finite Element Method of Nonlinear Hyperbolic Equations

作　　者：姜子文[1] 李潜[1] 

机构地区：[1]山东师范大学数学系

出　　处：《工程数学学报》1999年第2期1-8,共8页Chinese Journal of Engineering Mathematics

基　　金：山东省自然科学基金

摘　　要：给出了解二阶非线性双曲方程的插值全离散有限元方法。利用林群（１９９１年）发表的插值算子ｉｐｈ。Abstract In this paper, we give an interpolated fully discrete finite element method to solve the initial boundary value problem of second order nonlinear hyperbolic equations. Using the interpolated operater i p h introduced in , we have proved that this interpolated fully discrete finite element solution in H 1 norm is global superconvergence.

关 键 词：插值有限元 非线性 双曲型方程 整体超收敛性 

分 类 号：O241.82[理学—计算数学]