Error estimates for the finite element solution of elliptic problems with nonlinear Newton boundary conditions

被引：0

作者：

Feistauer, M

Najzar, K

Sobotíková, V

机构：

[1] Charles Univ, Fac Math & Phys, Inst Numer Math, CR-11800 Prague 1, Czech Republic

[2] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague 16627 6, Czech Republic

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1999年 / 20卷 / 9-10期

关键词：

elliptic equation; nonlinear Newton boundary condition; monotone operator method; finite element approximation; numerical integration; error analysis;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is concerned with the study or all elliptic boundary value problem with a nonlinear Newton boundary condition. The existence and uniqueness of the solution of the continuous problem is a consequence of the monotone operator theory. The main attention is paid to the investigation of the finite element approximation using numerical integration for the evaluation of boundary integrals. The error estimates for the solution of the discrete finite problem are derived.

引用

页码：835 / 851

页数：17

共 50 条

[1] An error estimate for the finite element solution of an elliptic problem with a nonlinear Newton boundary condition in nonpolygonal domains
Sobotíková, V
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (5-6) : 621 - 635
[2] On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains
Feistauer M.
Najzar K.
Sobotíková V.
[J]. Applications of Mathematics, 2001, 46 (5) : 353 - 382
[3] FINITE-ELEMENT ERROR-ESTIMATES FOR NONLINEAR ELLIPTIC PROBLEMS OF MONOTONE TYPE
CHOW, SS
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1983, 28 (03) : 445 - 446
[4] Error estimates for the finite element solutions of a nonlinear elliptic problem
Bognár, G
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4377 - 4386
[5] On the effect of numerical integration in the finite element solution of an elliptic problem with a nonlinear Newton boundary condition
Ondřej Bartoš
Miloslav Feistauer
Filip Roskovec
[J]. Applications of Mathematics, 2019, 64 : 129 - 167
[6] ON THE EFFECT OF NUMERICAL INTEGRATION IN THE FINITE ELEMENT SOLUTION OF AN ELLIPTIC PROBLEM WITH A NONLINEAR NEWTON BOUNDARY CONDITION
Bartos, Ondrej
Feistauer, Miloslav
Roskovec, Filip
[J]. APPLICATIONS OF MATHEMATICS, 2019, 64 (02) : 129 - 167
[7] FINITE ELEMENT ERROR ESTIMATES FOR NONLINEAR CONVECTIVE PROBLEMS
Kucera, Vaclav
[J]. ALGORITMY 2012, 2012, : 382 - 392
[8] Finite element error estimates for nonlinear convective problems
Kucera, Vaclav
[J]. JOURNAL OF NUMERICAL MATHEMATICS, 2016, 24 (03) : 143 - 165
[9] ERROR-ESTIMATES FOR FINITE-ELEMENT SOLUTIONS OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS
MASHAIE, A
HUGHES, E
GOLDAK, J
[J]. COMPUTERS & STRUCTURES, 1993, 49 (01) : 187 - 198
[10] The finite element analysis of an elliptic problem with a nonlinear Newton boundary condition
Sobotíková, V
[J]. NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 766 - 774

← 1 2 3 4 5 →