An optimal-order error estimate for a family of characteristic-mixed methods to transient convection-diffusion problems

Huan Zhen Chen; Zhao Jie Zhou; Hong Wang; Hong Ying Man

doi:10.3934/dcdsb.2011.15.325

An optimal-order error estimate for a family of characteristic-mixed methods to transient convection-diffusion problems

Huan Zhen Chen^*, Zhao Jie Zhou, Hong Wang, Hong Ying Man

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper we prove an optimal-order error estimate for a family of characteristic mixed method with arbitrary degree of mixed finite element approximations for the numerical solution of transient convection diffusion equations. This paper generalizes the results in [1, 61]. The proof of the main results is carried out via three lemmas, which are utilized to overcome the difficulties arising from the combination of MMOC and mixed finite element methods. Numerical experiments are presented to justify the theoretical analysis.

Original language	English
Pages (from-to)	325-341
Number of pages	17
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	15
Issue number	2
DOIs	https://doi.org/10.3934/dcdsb.2011.15.325
Publication status	Published - Mar 2011

Keywords

Characteristic-mixed methods
Mixed finite element methods
Optimal order error estimate
Transient convection diffusion problems

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10.3934/dcdsb.2011.15.325

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AU - Chen, Huan Zhen

AU - Zhou, Zhao Jie

AU - Wang, Hong

AU - Man, Hong Ying

PY - 2011/3

Y1 - 2011/3

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AB - In this paper we prove an optimal-order error estimate for a family of characteristic mixed method with arbitrary degree of mixed finite element approximations for the numerical solution of transient convection diffusion equations. This paper generalizes the results in [1, 61]. The proof of the main results is carried out via three lemmas, which are utilized to overcome the difficulties arising from the combination of MMOC and mixed finite element methods. Numerical experiments are presented to justify the theoretical analysis.

KW - Characteristic-mixed methods

KW - Mixed finite element methods

KW - Optimal order error estimate

KW - Transient convection diffusion problems

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ER -

An optimal-order error estimate for a family of characteristic-mixed methods to transient convection-diffusion problems

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