A PRIORI L2 ERROR-ESTIMATES FOR FINITE-ELEMENT METHODS FOR NONLINEAR DIFFUSION-EQUATIONS WITH MEMORY

被引：119

作者：

CANNON, JR ^{[1
]}

LIN, YP ^{[1
]}

机构：

[1] MCGILL UNIV, DEPT MATH & STAT, MONTREAL H3A 2K6, QUEBEC, CANADA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 03期

关键词：

D O I：

10.1137/0727036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies finite-element approximations to the solutions of the nonlinear diffusion equations with memory. An elliptic projection with memory associated with our equations is defined and then used in the derivations of optimal error estimates for semidiscrete and Crank-Nicolson finite-element approximations.

引用

页码：595 / 607

页数：13

共 50 条

[21] ERROR-ESTIMATES FOR FINITE-ELEMENT METHODS FOR A WIDE-ANGLE PARABOLIC EQUATION
AKRIVIS, GD
DOUGALIS, VA
KAMPANIS, NA
APPLIED NUMERICAL MATHEMATICS, 1994, 16 (1-2) : 81 - 100
[22] ERROR-ESTIMATES OF OPTIMAL ORDER FOR FINITE-ELEMENT METHODS WITH INTERPOLATED COEFFICIENTS FOR THE NONLINEAR HEAT-EQUATION
CHEN, CM
LARSSON, S
ZHANG, NY
IMA JOURNAL OF NUMERICAL ANALYSIS, 1989, 9 (04) : 507 - 524
[23] ERROR-ESTIMATES FOR SOME MIXED FINITE-ELEMENT METHODS FOR PARABOLIC TYPE PROBLEMS
JOHNSON, C
THOMEE, V
RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS, 1981, 15 (01): : 42 - 78
[24] SPACE-TIME FINITE-ELEMENT METHODS FOR ELASTODYNAMICS - FORMULATIONS AND ERROR-ESTIMATES
HUGHES, TJR
HULBERT, GM
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 66 (03) : 339 - 363
[25] ERROR-ESTIMATES FOR FINITE-ELEMENT METHODS FOR SEMILINEAR PARABOLIC PROBLEMS WITH NONSMOOTH DATA
THOMEE, V
LECTURE NOTES IN MATHEMATICS, 1986, 1192 : 339 - 344
[26] VARIATIONAL CRIMES AND L-INFINITY ERROR-ESTIMATES IN THE FINITE-ELEMENT METHOD
GOLDSTEIN, CI
MATHEMATICS OF COMPUTATION, 1980, 35 (152) : 1131 - 1157
[27] A priori L∞ (L2) error estimates for finite element approximations to parabolic integro-differential equations with discontinuous coefficients
Deka, Bhupen
Deka, Ram Charan
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (04):
[28] THE MIXED STIFFNESS FINITE-ELEMENT METHODS .2. CRITERIA OF CONVERGENCE AND ABSTRACT ERROR-ESTIMATES
ZHOU, TX
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1987, 30 (01): : 1 - 11
[29] CONVERGENCE AND ERROR-ESTIMATES FOR FINITE-ELEMENT SOLUTIONS OF ELASTOHYDRODYNAMIC LUBRICATION
WU, SR
ODEN, JT
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1987, 13 (07) : 583 - 593
[30] A PRIORI ERROR ESTIMATES FOR FINITE ELEMENT METHODS FOR H(2,1)-ELLIPTIC EQUATIONS
Apel, Thomas
Flaig, Thomas G.
Nicaise, Serge
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (02) : 153 - 176

← 1 2 3 4 5 →