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 - <p style="text-align: justify;">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.</p>