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Volume 5, Issue 3
Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion

Adrian Muntean

Int. J. Numer. Anal. Mod., 5 (2008), pp. 353-372.

Published online: 2008-05

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  • 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.

  • Keywords

reaction-diffusion system, moving-boundary problem, spatial semi-discretization, finite elements, a priori estimates, a posteriori estimates, concrete corrosion.

  • AMS Subject Headings

65M15, 65M60, 35R35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-353, author = {Muntean , Adrian}, title = {Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/816.html} }
TY - JOUR T1 - Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion AU - Muntean , Adrian JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 353 EP - 372 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/816.html KW - reaction-diffusion system, moving-boundary problem, spatial semi-discretization, finite elements, a priori estimates, a posteriori estimates, concrete corrosion. AB -

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.

Muntean , Adrian. (2008). Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion. International Journal of Numerical Analysis and Modeling. 5 (3). 353-372. doi:
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