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.
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页码：595 / 607
页数：13
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