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

被引：35

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 50 条

[21] DIFFERENTIAL-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS
COHEN, GL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1977, 60 (01) : 150 - 165
[22] FINITE-ELEMENT METHODS FOR NONLINEAR ADVECTION
SELMIN, V
DONEA, J
QUARTAPELLE, L
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1985, 52 (1-3) : 817 - 845
[23] EVOLUTION-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS
GOLDSTEIN, JA
LECTURE NOTES IN MATHEMATICS, 1987, 1248 : 78 - 84
[24] BOUNDARY-CONDITIONS FOR NONLINEAR EQUATIONS COMPATIBLE WITH INTEGRABILITY
KHABIBULLIN, IT
THEORETICAL AND MATHEMATICAL PHYSICS, 1993, 96 (01) : 845 - 853
[25] DIFFERENTIAL-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS
FECKAN, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (01) : 103 - 111
[26] FINITE-ELEMENT THAT SATISFIES NATURAL BOUNDARY-CONDITIONS EXACTLY
HALL, CA
HEINRICH, J
JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1978, 21 (02): : 237 - 250
[27] TREATMENT OF SKEW BOUNDARY-CONDITIONS IN FINITE-ELEMENT ANALYSIS
GRIFFITHS, DV
COMPUTERS & STRUCTURES, 1990, 36 (06) : 1009 - 1012
[28] INCOMPRESSIBLE FINITE-ELEMENT METHODS FOR NAVIER-STOKES EQUATIONS WITH NONSTANDARD BOUNDARY-CONDITIONS IN R3
GIRAULT, V
MATHEMATICS OF COMPUTATION, 1988, 51 (183) : 55 - 74
[29] THE COUPLING OF BOUNDARY INTEGRAL AND FINITE-ELEMENT METHODS FOR NONMONOTONE NONLINEAR PROBLEMS
GATICA, GN
HSIAO, GC
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1992, 13 (5-6) : 431 - 447
[30] A FINITE-ELEMENT GALERKIN METHOD FOR A UNIDIMENSIONAL SINGLE-PHASE NONLINEAR STEFAN PROBLEM WITH DIRICHLET BOUNDARY-CONDITIONS
PANI, AK
DAS, PC
IMA JOURNAL OF NUMERICAL ANALYSIS, 1991, 11 (01) : 99 - 113

← 1 2 3 4 5 →