NONSMOOTH INITIAL DATA ERROR-ESTIMATES WITH THE WEIGHT NORMS FOR THE LINEAR FINITE-ELEMENT METHOD OF PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS

被引：8

作者：

DA, X

机构：

[1] Department of Mathematical Sciences Xiangtan Teachers College Xiangtan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1993年 / 54卷 / 01期

关键词：

D O I：

10.1016/0096-3003(93)90031-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the Galerkin approximation of a parabolic equation. For the second-order continuous time method with initial data only in L2, we prove an optimal order error estimate with weight norm. Our analysis uses elementary energy techniques and spectral representations and weight function techniques; the same techniques are shown to give an analysis of the Galerkin method time discretization.

引用

页码：1 / 24

页数：24

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