Numerical methods for the simulation of a corrosion model with moving oxide layer

DOI10.1016/j.jcp.2012.06.005zbMath1277.35209OpenAlexW2064095481MaRDI QIDQ385932

E. Hoarau, François Bouchon, Christian Bataillon, Claire Chainais-Hillairet, Jürgen Fuhrmann, Rachid Touzani

Publication date: 12 December 2013

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.06.005

zbMATH Keywords

moving boundariesadaptive time steppingcorrosion modelingdrift-diffusion system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Statistical mechanics of metals (82D35) Moving boundary problems for PDEs (35R37)

Related Items (10)

Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation ⋮ Existence of traveling wave solutions for the Diffusion Poisson Coupled Model: a computer-assisted proof ⋮ Entropy Method and Asymptotic Behaviours of Finite Volume Schemes ⋮ Solvability for a drift-diffusion system with Robin boundary conditions ⋮ Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion ⋮ Three-species drift-diffusion models for memristors ⋮ Unnamed Item ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting) ⋮ On the existence of solutions for a drift-diffusion system arising in corrosion modeling ⋮ Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation

Cites Work

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• On uniqueness of a weak solution of one-dimensional concrete carbonation problem
• A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutions
• Energy estimates for continuous and discretized electro-reaction-diffusion systems
• Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions
• An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
• On Existence, Uniqueness and Asymptotic Behavior of Solutions of the Basic Equations for Carrier Transport in Semiconductors
• ON THE UNIQUENESS OF SOLUTIONS TO THE DRIFT-DIFFUSION MODEL OF SEMICONDUCTOR DEVICES
• Reaction—Diffusion Processes of Electrically Charged Species
• Finite Volume Methods for Convection-Diffusion Problems
• Asymptotic behavior of the drift-diffusion semiconductor equations
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