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

页码：282 / 306

页数：25

共 44 条

[1]

Adams R. A., 1975, SOBOLEV SPACES

[2]

[Anonymous], 1990, NUMERICAL APPROXIMAT

[3]

[Anonymous], 1972, MATH FDN FINITE ELEM

[4]

Baiocchi C., 1983, Calcolo, V20, P143, DOI 10.1007/BF02575590