ENERGY NORM ERROR ESTIMATES FOR AVERAGED DISCONTINUOUS GALERKIN METHODS IN 1 DIMENSION

被引：0
|
作者：
Cseorgo, Gabor [1 ]
Izsak, Ferenc [2 ]
机构：
[1] Eotvos Lorand Univ, MTA ELTE Num Net Res Grp, H-1117 Budapest, Hungary
[2] Eotvos Lorand Univ, Dept Appl Anal & Computat Math, H-1117 Budapest, Hungary
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2014年 / 11卷 / 03期
关键词：
discontinuous Galerkin method; smoothing technique; error estimation; FINITE-ELEMENT METHODS; FRIEDRICHS SYSTEMS; ACCURACY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical solution of one-dimensional elliptic problems is investigated using an averaged discontinuous discretization. The corresponding numerical method can be performed using the favorable properties of the discontinuous Galerkin (dG) approach, while for the average an error estimation is obtained in the H-1-seminorm. We point out that his average can be regarded as a lower order modification of the average of a well-known overpenalized symmetric interior penalty (IP) method. This allows a natural derivation of the overpenalized IP methods.
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页码：567 / 586
页数：20
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