A NOTE ON THE CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION

被引：141

作者：

PETERSON, TE

机构：

[1] Cornell Univ, Ithaca, NY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 01期

关键词：

FINITE ELEMENT METHOD; HYPERBOLIC EQUATION;

D O I：

10.1137/0728006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical example is presented which shows that the known L2 error estimate parallel-to u - u(h) parallel-to less-than-or-equal-to Ch(k+1/2) parallel-to u parallel-to (k+1) for the discontinuous Galerkin method cannot be improved within the class of quasi-uniform meshes, not even for smooth exact solutions u.

引用

页码：133 / 140

页数：8

共 10 条

[1] ANALYSIS OF A CONTINUOUS FINITE-ELEMENT METHOD FOR HYPERBOLIC-EQUATIONS [J].