A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems
Joint Authors
He, Siriguleng
Fang, Zhichao
Liu, Yang
Li, Hong
Gao, Wei
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A novel characteristic expanded mixed finite element method is proposed and analyzed for reaction-convection-diffusion problems.
The diffusion term ∇·(a(x,t)∇u) is discretized by the novel expanded mixed method, whose gradient belongs to the square integrable space instead of the classical H(div;Ω) space and the hyperbolic part d(x)(∂u/∂t)+c(x,t)·∇u is handled by the characteristic method.
For a priori error estimates, some important lemmas based on the novel expanded mixed projection are introduced.
The fully discrete error estimates based on backward Euler scheme are obtained.
Moreover, the optimal a priori error estimates in L2- and H1-norms for the scalar unknown u and a priori error estimates in (L2)2-norm for its gradient λ and its flux σ (the coefficients times the negative gradient) are derived.
Finally, a numerical example is provided to verify our theoretical results.
American Psychological Association (APA)
Liu, Yang& Li, Hong& Gao, Wei& He, Siriguleng& Fang, Zhichao. 2013. A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-490235
Modern Language Association (MLA)
Liu, Yang…[et al.]. A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-490235
American Medical Association (AMA)
Liu, Yang& Li, Hong& Gao, Wei& He, Siriguleng& Fang, Zhichao. A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-490235
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490235