Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion
Year: 2008
Author: Adrian Muntean
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 353–372
Abstract
Finite element approximations of positive weak solutions to a one-phase unidimensional moving-boundary system with kinetic condition describing the penetration of a sharp-reaction interface in concrete are considered. A priori and a posteriori error estimates for the semi-discrete fields of active concentrations and for the position of the moving interface are obtained. The important feature of the system of partial differential equations is that the nonlinear coupling occurs due to the presence of both the moving boundary and the non-linearities of localized sinks and sources by reaction.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-816
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 353–372
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: reaction-diffusion system moving-boundary problem spatial semi-discretization finite elements a priori estimates a posteriori estimates concrete corrosion.