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

[31] COMPARISON OF METHODS FOR SOLVING NONLINEAR FINITE-ELEMENT EQUATIONS IN HEAT TRANSFER
Johnson, N. L.
Graham, A. L.
Cort, G. E.
CHEMICAL ENGINEERING COMMUNICATIONS, 1984, 26 (4-6) : 269 - 284
[32] FINITE-ELEMENT APPROXIMATION OF STEADY NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY-CONDITIONS
VERFURTH, R
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1985, 19 (03): : 461 - 475
[33] CONVERGENCE AND STABILITY OF NONLINEAR FINITE-ELEMENT EQUATIONS
CHUNG, TJ
AIAA JOURNAL, 1975, 13 (07) : 963 - 966
[34] Parallel iterative finite-element algorithms for the Navier-Stokes equations with nonlinear slip boundary conditions
Zhou, Kangrui
Shang, Yueqiang
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (05) : 509 - 530
[35] POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC-EQUATIONS WITH CRITICAL SOBOLEV EXPONENT AND MIXED BOUNDARY-CONDITIONS
GROSSI, M
PACELLA, F
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 116 : 23 - 43
[36] THE UNCOUPLING OF BOUNDARY INTEGRAL AND FINITE-ELEMENT METHODS FOR NONLINEAR BOUNDARY-VALUE-PROBLEMS
GATICA, GN
HSIAO, GC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (02) : 442 - 461
[37] OPTIMIZATION METHODS FOR BATHYMETRY AND OPEN BOUNDARY-CONDITIONS IN A FINITE-ELEMENT MODEL OF OCEAN TIDES
LYARD, F
GENCO, ML
JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) : 234 - 256
[38] PRECONDITIONING NONCONFORMING FINITE-ELEMENT METHODS FOR TREATING DIRICHLET BOUNDARY-CONDITIONS .2.
WONG, SP
NUMERISCHE MATHEMATIK, 1992, 62 (03) : 413 - 437
[39] EMBEDDING IN ELLIPTICAL DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS
SCHEURIN.HT
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (04): : T233 - T234
[40] ABSORBING BOUNDARY-CONDITIONS FOR THE FINITE-ELEMENT ANALYSIS OF PLANAR DEVICES
WEBB, JP
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1990, 38 (09) : 1328 - 1332

← 1 2 3 4 5 →