A priori L2error estimates for finite-element methods for nonlinear diffusion equations with memory

J. R. Cannon; Yanping Lin

doi:10.1137/0727036

A priori L²error estimates for finite-element methods for nonlinear diffusion equations with memory

J. R. Cannon
, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

124 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	595-607
Number of pages	13
Journal	SIAM Journal on Numerical Analysis
Volume	27
Issue number	3
DOIs	https://doi.org/10.1137/0727036
Publication status	Published - 1 Jan 1990
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis

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10.1137/0727036

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abstract = "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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AB - 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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DO - 10.1137/0727036

M3 - Journal article

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JO - SIAM Journal on Numerical Analysis

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A priori L²error estimates for finite-element methods for nonlinear diffusion equations with memory

Abstract

ASJC Scopus subject areas

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