A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem

A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem

A characteristic nonconforming mixed finite element method (MFEM) is proposed for the convection-dominated diffusion problem based on a new mixed variational formulation. The optimal order error estimates for both the original variable u and the auxiliary variable σ with respect to the space are obt...

Full description

Bibliographic Details
Main Authors: Dongyang Shi, Qili Tang, Yadong Zhang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/951692
id doaj-6436b07641344dcc8e54960cdbdb0cda
record_format Article
spelling doaj-6436b07641344dcc8e54960cdbdb0cda2020-11-24T22:38:35ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/951692951692A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion ProblemDongyang Shi0Qili Tang1Yadong Zhang2Department of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaDepartment of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mathematics and Statistics, Xuchang University, Xuchang 461000, ChinaA characteristic nonconforming mixed finite element method (MFEM) is proposed for the convection-dominated diffusion problem based on a new mixed variational formulation. The optimal order error estimates for both the original variable u and the auxiliary variable σ with respect to the space are obtained by employing some typical characters of the interpolation operator instead of the mixed (or expanded mixed) elliptic projection which is an indispensable tool in the traditional MFEM analysis. At last, we give some numerical results to confirm the theoretical analysis.http://dx.doi.org/10.1155/2013/951692
collection DOAJ
language English
format Article
sources DOAJ
author Dongyang Shi
Qili Tang
Yadong Zhang
spellingShingle Dongyang Shi
Qili Tang
Yadong Zhang
A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
Journal of Applied Mathematics
author_facet Dongyang Shi
Qili Tang
Yadong Zhang
author_sort Dongyang Shi
title A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
title_short A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
title_full A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
title_fullStr A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
title_full_unstemmed A New Characteristic Nonconforming Mixed Finite Element Scheme for Convection-Dominated Diffusion Problem
title_sort new characteristic nonconforming mixed finite element scheme for convection-dominated diffusion problem
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description A characteristic nonconforming mixed finite element method (MFEM) is proposed for the convection-dominated diffusion problem based on a new mixed variational formulation. The optimal order error estimates for both the original variable u and the auxiliary variable σ with respect to the space are obtained by employing some typical characters of the interpolation operator instead of the mixed (or expanded mixed) elliptic projection which is an indispensable tool in the traditional MFEM analysis. At last, we give some numerical results to confirm the theoretical analysis.
url http://dx.doi.org/10.1155/2013/951692
work_keys_str_mv AT dongyangshi anewcharacteristicnonconformingmixedfiniteelementschemeforconvectiondominateddiffusionproblem
AT qilitang anewcharacteristicnonconformingmixedfiniteelementschemeforconvectiondominateddiffusionproblem
AT yadongzhang anewcharacteristicnonconformingmixedfiniteelementschemeforconvectiondominateddiffusionproblem
AT dongyangshi newcharacteristicnonconformingmixedfiniteelementschemeforconvectiondominateddiffusionproblem
AT qilitang newcharacteristicnonconformingmixedfiniteelementschemeforconvectiondominateddiffusionproblem
AT yadongzhang newcharacteristicnonconformingmixedfiniteelementschemeforconvectiondominateddiffusionproblem
_version_ 1725712935390543872

Similar Items