L2-ERROR ANALYSIS OF FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR NONLINEAR SOBOLEV EQUATIONS

被引：8

作者：

Ohm, Mi Ray ^{[1
]}

Lee, Hyun Young ^{[2
]}

机构：

[1] Dongseo Univ, Div Informat Syst Engn, Pusan 617716, South Korea

[2] Kyungsung Univ, Dept Math, Pusan 608736, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 05期

关键词：

nonlinear Sobolev equation; discontinuous Galerkin approxirnation; fully discrete approximations; optimal L-2 error estimates; PARTIAL-DIFFERENTIAL EQUATIONS; PARABOLIC EQUATIONS; CONVERGENCE; TIME;

D O I：

10.4134/BKMS.2011.48.5.897

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop a symmetric Galerkin method with interior penalty terms to construct fully discrete approximations of the solution for nonlinear Sobolev equations. To analyze the convergence of discontinuous Galerkin approximations, we introduce an appropriate projection and derive the optimal L-2 error estimates.

引用

页码：897 / 915

页数：19

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