ADAPTIVE FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS .4. NONLINEAR PROBLEMS

被引：175

作者：

ERIKSSON, K

JOHNSON, C

机构：

[1] Mathematics Department, Chalmers University of Technology, Göteborg

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1995年 / 32卷 / 06期

关键词：

NONLINEAR PARABOLIC PROBLEMS; ADAPTIVE FINITE ELEMENTS; A POSTERIORI ERROR ESTIMATES; ERROR CONTROL;

D O I：

10.1137/0732078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend our program on adaptive finite element methods for parabolic problems to a class of nonlinear scalar problems. We prove a posteriori error estimates, design corresponding adaptive algorithms, and present some numerical results.

引用

页码：1729 / 1749

页数：21

共 9 条

[1]

DEMOTTONI P, 1993, PITMAN RES NOTES MAT, V280, P166

[2] ERROR-ESTIMATES AND AUTOMATIC TIME STEP CONTROL FOR NONLINEAR PARABOLIC PROBLEMS .1. [J].

ERIKSSON, K ;

JOHNSON, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (01) :12-23

[3] ADAPTIVE FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS .5. LONG-TIME INTEGRATION [J].

ERIKSSON, K ;

JOHNSON, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (06) :1750-1763

[4] ADAPTIVE FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS .1. A LINEAR-MODEL PROBLEM [J].

ERIKSSON, K ;

JOHNSON, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (01) :43-77

[5] ADAPTIVE FINITE-ELEMENT METHODS FOR PARABOLIC PROBLEMS .2. OPTIMAL ERROR-ESTIMATES IN L-INFINITY-L(2) AND L-INFINITY-L-INFINITY [J].

ERIKSSON, K ;

JOHNSON, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (03) :706-740

[6]

ERIKSSON K, UNPUB ADAPTIVE FINIT

[7] A-POSTERIORI ERROR-BOUNDS AND GLOBAL ERROR CONTROL FOR APPROXIMATION OF ORDINARY DIFFERENTIAL-EQUATIONS [J].

ESTEP, D .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (01) :1-48

[8]

HEYWOOD JG, 1986, J REINE ANGEW MATH, V372, P1

[9] ERROR-ESTIMATES AND ADAPTIVE TIME-STEP CONTROL FOR A CLASS OF ONE-STEP METHODS FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS [J].

JOHNSON, C .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1988, 25 (04) :908-926

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