FINITE-ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS

被引：34

作者：

LIN, YP ^{[1
]}

ZHANG, T ^{[1
]}

机构：

[1] Northeastern Univ, DEPT MATH, SHENYANG, PEOPLES R CHINA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 165卷 / 01期

关键词：

D O I：

10.1016/0022-247X(92)90074-N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive optimal L2 error estimates for semi-discrete finite element methods for nonlinear Sobolev equations with nonlinear boundary conditions. A new projection is introduced and used in the error analysis. © 1992.

引用

页码：180 / 191

页数：12

共 16 条

[11] LIN Y, UNPUB RIZT VOLTERRA
[12] ERROR-ESTIMATES OF A GALERKIN METHOD FOR SOME NONLINEAR SOBOLEV EQUATIONS IN ONE SPACE DIMENSION
NAKAO, MT
[J]. NUMERISCHE MATHEMATIK, 1985, 47 (01) : 139 - 157
[13] RANNACHER R, 1982, MATH COMPUT, V38, P1
[14] THOMEE V, 1984, LECTURE NOTES MATH, V1054
[15] WAHLBIN L, 1975, NUMER MATH, V23, P289, DOI 10.1007/BF01438256
[16] PRIORI L2 ERROR ESTIMATES FOR GALERKIN APPROXIMATIONS TO PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
WHEELER, MF
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (04) : 723 - 759

← 1 2 →