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Error bounds on semi-discrete finite element approximations of a moving-boundary system arising in concrete corrosion
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science. Technical University of Eindhoven. (Mathematics)ORCID iD: 0000-0002-1160-0007
2008 (English)In: International Journal of Numerical Analysis & Modeling, ISSN 1705-5105, Vol. 5, no 3, 353-372 p.Article in journal (Refereed) Published
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Text
Abstract [en]

Finite element approximations of positive weak solutions to a onephase 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.

Place, publisher, year, edition, pages
2008. Vol. 5, no 3, 353-372 p.
Keyword [en]
Reaction-diffusion system, moving-boundary problem, spatial semi-discretization, finite elements, a priori estimates, a posteriori estimates, concrete corrosion
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-39819Scopus ID: 2-s2.0-46149085172OAI: oai:DiVA.org:kau-39819DiVA: diva2:901113
Note

cited By 4

Available from: 2016-02-06 Created: 2016-02-06 Last updated: 2017-03-28

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Scopushttp://www.math.ualberta.ca/ijnam/Volume5.htm

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CiteExportLink to record
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  • apa
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