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

被引：136
|
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.
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页码：133 / 140
页数：8
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