2011/06/30 by Tasnim Fatima, Adrian Muntean, adrian Muntean +1 · 23 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Composite material #Computer science #Convergence (economics) #Corrosion #Differential equation #Diffusion #Dissipative system #Domain (mathematical analysis) #Electromagnetic Simulation and Numerical Methods #Materials science #Mathematical analysis #Mathematics #Ordinary differential equation #Physics #Predictor–corrector method #Rate of convergence #Reaction–diffusion system #Thermodynamics #math.AP
paper · pdf · doi:10.1080/00036811.2011.625016
published in Applicable Analysis 91(6), 1129-1154 (Taylor & Francis) · 23 pages, one figure
openalex publication_date 2011/10/14 · arxiv created 2012/01/26 · arxiv updated 2012/01/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We use the periodic unfolding technique to derive corrector estimates for a reaction–diffusion system describing concrete corrosion penetration in the sewer pipes. The system, defined in a periodically perforated domain, is semi-linear, partially dissipative and coupled to a nonlinear ordinary differential equation posed on the solid–water interface at the pore level. After discussing the solvability of the pore scale model, we apply the periodic unfolding techniques (adapted to treat the presence of perforations) not only to derive macroscopic (upscaled) model equations, but also to prepare a proper framework for obtaining a convergence rate (corrector estimates) of the averaging procedure.