A new positive definite expanded mixed finite element method for parabolic integrodifferential equations
type: Item
instance of: scholarly article
title: A new positive definite expanded mixed finite element method for parabolic integrodifferential equations
zbMATH Open document ID: 1251.65140
DOI: 10.1155/2012/391372
author: Yang Liu
author: Hong Li
author: Wei Gao
author: Jinfeng Wang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: A new positive definite expanded mixed finite element method is proposed for parabolic partial integrodifferential equations. Compared to expanded mixed scheme, the new expanded mixed element system is symmetric positive definite and both the gradient equation and the flux equation are separated from its scalar unknown equation. The existence and uniqueness for semidiscrete scheme are proved and error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are provided to confirm our theoretical analysis.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 35K99
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6106199
zbMATH Keywords: positive definite expanded mixed finite element method
zbMATH Keywords: parabolic partial integrodifferential equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/391372
OpenAlex ID: W2021420762
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Wikidata QID: Q58906820
DBLP publication ID: journals/jam/LiuLWG12
description: scientific article; zbMATH DE number 6106199