A rectangular mixed finite element method with a continuous flux for an elliptic equation modelling Darcy flow
type: Item
instance of: scholarly article
title: A rectangular mixed finite element method with a continuous flux for an elliptic equation modelling Darcy flow
zbMATH Open document ID: 1291.76207
DOI: 10.1155/2013/580461
author: Xindong Li
author: Hongxing Rui
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media. We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes. In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the \(L2\) error estimates are obtained for both the velocity and the pressure. Numerical examples are presented to confirm the theoretical analysis.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 6307023
Wikidata QID: Q58917184
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/580461
OpenAlex ID: W2060601922
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description: scientific article; zbMATH DE number 6307023