Upwind-mixed methods for transport equations
type: Item
instance of: scholarly article
title: Upwind-mixed methods for transport equations
zbMATH Open document ID: 0962.65084
DOI: 10.1023/A:1011531109949
author: Vadym Aizinger
author: C. Dawson
published in: Computational Geosciences
publication date: 2000-09-10T00:00:00Z
review text: The paper is mainly concerned with the derivation of a priori error estimates for an upwind-mixed method for transport equations. It is shown that this estimate still holds in the same form when the velocity is approximated appropriately, although with a much larger constant. Further extensions are higher-order approximating space, the possibility of zero diffusion, and different boundary conditions. The numerical experiments actually show the convergence order to be better than the error estimate.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 1399542
zbMATH Keywords: mixed finite element methods
zbMATH Keywords: diffusion equations
zbMATH Keywords: a priori error estimates
zbMATH Keywords: upwind-mixed method
zbMATH Keywords: transport equations
zbMATH Keywords: numerical experiments
zbMATH Keywords: convergence
reviewed by: Hermann G. Matthies
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1399542