Splitting positive definite mixed element method for viscoelasticity wave equation
type: Item
instance of: scholarly article
title: Splitting positive definite mixed element method for viscoelasticity wave equation
zbMATH Open document ID: 1254.65121
author: Yang Liu
author: Hong Li
author: Wei Gao
author: Siriguleng He
published in: Frontiers of Mathematics in China
publication date: 2012-11-07T00:00:00Z
review text: The authors propose here a splitting positive definite finite element scheme based on certain transformation (cf. [\textit{L. Gao; D. Liang} and \textit{Bo Zhang}, Math. Methods Appl. Sci. 27, No. 17, 1997--2016 (2004; Zbl 1071.65129)]) for viscoelasticity wave equations. The proposed procedure can be split into three independent symmetric positive definite integro-differential sub-system and does not need to solve a coupled system of equations, Error estimates for both semidiscrete and fully discrete schemes have been obtained and the existence and uniqueness of semidiscrete scheme have been shown.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 6103006
zbMATH Keywords: viscoelasticity wave equations
zbMATH Keywords: splitting positive definite system
zbMATH Keywords: mixed finite element method
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: s11464-012-0183-8
OpenAlex ID: W1968140140
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DOI: 10.1007/S11464-012-0183-8
description: scientific article; zbMATH DE number 6103006