Characteristic splitting mixed finite element analysis of compressible wormhole propagation
type: Item
instance of: scholarly article
title: Characteristic splitting mixed finite element analysis of compressible wormhole propagation
zbMATH Open document ID: 1435.65169
author: Jiansong Zhang
author: Xiaomang Shen
author: Hui Guo
author: Hongfei Fu
author: Huiran Han
published in: Applied Numerical Mathematics
publication date: 2019-11-27T00:00:00Z
review text: The authors discuss a combined method for simulating the compressible wormhole propagation that relies on the splitting mixed finite element. This leads to a separated symmetric positive definite mixed element system which avoids the solvability of a large-scale coupled system. Optimal error estimates in the \(L^2\)-norm are derived for pressure, velocity, concentration and porosity. Numerical experiments are included to support the theoretial findings.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7137362
zbMATH Keywords: mass-conservative
zbMATH Keywords: the method of characteristics
zbMATH Keywords: splitting system
zbMATH Keywords: mixed element
zbMATH Keywords: wormhole propagation
MaRDI profile type: Publication
full work available at URL: j.apnum.2019.08.012
OpenAlex ID: W2969566147
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Wikidata QID: Q127340613
DOI: 10.1016/J.APNUM.2019.08.012
description: scientific article; zbMATH DE number 7137362