Journal article
Linearization of a nonlinear periodic boundary condition related to corrosion modeling
Journal of computational mathematics, Vol.25(6), pp.645-660
01 Nov 2007
Abstract
We study galvanic currents on a heterogeneous surface. In electrochemistry, the oxidation-reduction reaction producing the current is commonly modeled by a nonlinear elliptic boundary value problem. The boundary condition is of exponential, type with periodically varying parameters. We construct an approximation by first homogenizing the problem, and then linearizing about the homogenized solution. This approximation is far more accurate than both previous approximations or direct linearization. We establish convergence estimates for both the two and three-dimensional case and provide two-dimensional numerical experiments.
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Details
- Title
- Linearization of a nonlinear periodic boundary condition related to corrosion modeling
- Creators
- Y. S. BhatS. Moskow
- Publication Details
- Journal of computational mathematics, Vol.25(6), pp.645-660
- Publisher
- Vsp Bv
- Number of pages
- 16
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991019170562604721
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- Web of Science research areas
- Mathematics
- Mathematics, Applied