A.Kashkool, H., J. Khalifa, S. (2012). The Convergent and Discrete Maximum Principle of Finite Element Methods for solving the Convection-Diffusion-Reaction problem. , 11(20), 19-30.
Hashim A.Kashkool; suhad J. Khalifa. "The Convergent and Discrete Maximum Principle of Finite Element Methods for solving the Convection-Diffusion-Reaction problem". , 11, 20, 2012, 19-30.
A.Kashkool, H., J. Khalifa, S. (2012). 'The Convergent and Discrete Maximum Principle of Finite Element Methods for solving the Convection-Diffusion-Reaction problem', , 11(20), pp. 19-30.
A.Kashkool, H., J. Khalifa, S. The Convergent and Discrete Maximum Principle of Finite Element Methods for solving the Convection-Diffusion-Reaction problem. , 2012; 11(20): 19-30.

The Convergent and Discrete Maximum Principle of Finite Element Methods for solving the Convection-Diffusion-Reaction problem

Misan Journal of Acodemic Studies
Article 1, Volume 11, Issue 20, 2012, Pages 19-30
Authors
Hashim A.Kashkool; suhad J. Khalifa
Abstract
In this paper, we describe several finite element methods for solving the
Convection-Diffusion-Reaction problem(CDR)and study two important properties
for the approximate solution, the convergent and the discrete maximum principle.
For convergence we considered two cases, semi-discrete and discrete
methods, for semi-discrete, we prove that all scheme are converge with ) ( r h O ,
where h refers to the discretization parameter, 1 1    s r and s is a degree of
polynomials of finite element space and for discrete we proved that all schemes
converge with ) (   r h O . Finally, the discrete maximum principle and  L - stable
are proved.
Keywords
The Convergent
Statistics
Article View: 74
PDF Download: 59


Journal Management System. Powered by iJournalPro.com