Error estimates for semidiscrete finite element approximations of linear and semilinear parabolic equations under minimal regularity assumptions

被引：60
作者：
Chrysafinos, K [1 ]
Hou, LS [1 ]
机构：
[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 40卷 / 01期
关键词：
parabolic equations; finite element methods; semidiscrete error estimates; boundary value problems;
D O I：
10.1137/S0036142900377991
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Semidiscrete finite element error estimates for linear parabolic equations are derived under minimal regularity with the help of L-2 projectors. Then, analogous minimal regularity semidiscrete error estimates for semilinear parabolic equations are derived.
引用
收藏
页码：282 / 306
页数：25
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