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

Ebmeyer, Carsten, Liu, Wenbin (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. (doi:10.1137/060657728) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:22891)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
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
DOI/Identification number:	10.1137/060657728
Uncontrolled keywords:	error estimates; fully discrete Galerkin scheme; free boundary problem; fast diffusion; slow diffusion; porous media
Subjects:	Q Science > Operations Research - Theory
Institutional Unit:	Schools > Kent Business School
Former Institutional Unit:	Divisions > Kent Business School - Division > Kent Business School (do not use)
Depositing User:	Steve Liu
Date Deposited:	24 Feb 2010 09:59 UTC
Last Modified:	20 May 2025 11:45 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/22891 (The current URI for this page, for reference purposes)

University of Kent Author Information

Liu, Wenbin.

Creator's ORCID:	https://orcid.org/0000-0001-5966-6235
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