Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations

Ebmeyer, C. and Liu, W.B. (2008) Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations. SIAM Journal on Numerical Analysis, 46 (5). pp. 2393-2410. ISSN 0036-1429 . (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1137/060657728

Abstract

The fast diffusion equation u(t) =Delta(vertical bar u vertical bar(m- 1)u)(0 < m < 1) and the porous medium equation (1 < m < infinity) are studied in a parabolic cylinder Omega x (0, T). A fully discrete Galerkin approximation is considered using C-0-piecewise linear finite elements in space and the backward Euler time discretization. A priori error estimates in quasi norms and rates of convergence are proved.

Item Type: Article
Uncontrolled keywords: error estimates; fully discrete Galerkin scheme; free boundary problem; fast diffusion; slow diffusion; porous media
Subjects: Q Science > Operations Research - Theory
Divisions: Faculties > Social Sciences > Kent Business School
Depositing User: Steve Wenbin Liu
Date Deposited: 24 Feb 2010 09:59
Last Modified: 24 Feb 2010 09:59
Resource URI: http://kar.kent.ac.uk/id/eprint/22891 (The current URI for this page, for reference purposes)
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