Error estimates for higher-order finite volume schemes for convection-diffusion problems
type: Item
instance of: scholarly article
title: Error estimates for higher-order finite volume schemes for convection-diffusion problems
zbMATH Open document ID: 1432.76176
author: Mirko Rokyta
author: Dietmar Kröner
published in: Journal of Numerical Mathematics
publication date: 2018-04-18T00:00:00Z
review text: The authors consider higher order schemes MUSCL type for the discretization of convection dominated elliptic problems in a convex bounded domain \(\varOmega\) in \(\mathbb{R}^{2}\). Some \textit{a priori} error estimates are proved. In the part of the estimate, which refers to the discretization of the convective term, the order is improved by \(h^{1/2}\). Although the original problem is linear, the numerical problem becomes nonlinear, due to MUSCL type reconstruction/limiter technique.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6861148
zbMATH Keywords: linear convection dominated diffusion equation in 2D
zbMATH Keywords: upwind finite volume scheme
zbMATH Keywords: first and higher order finite volume schemes
zbMATH Keywords: \textit{a priori} error estimates
zbMATH Keywords: MUSCL type reconstruction/limiter
MaRDI profile type: Publication
full work available at URL: jnma-2016-1056
OpenAlex ID: W2586347246
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DOI: 10.1515/JNMA-2016-1056
description: scientific article; zbMATH DE number 6861148