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Homogenization of a nonlinear elliptic boundary value problem modeling galvanic currents
Journal article   Peer reviewed

Homogenization of a nonlinear elliptic boundary value problem modeling galvanic currents

Y S Bhat and S Moskow
Multiscale modeling & simulation, v 5(1)
01 Jan 2006

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Science & Technology
We study a nonlinear elliptic boundary value problem arising from electrochemistry in the study of heterogeneous electrode surfaces. The boundary condition is of exponential type ( Butler - Volmer) and has a periodic structure. We find a limiting or effective problem as the period approaches zero, along with a first order correction. We establish convergence estimates and provide numerical experiments.

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Web of Science research areas
Mathematics, Interdisciplinary Applications
Physics, Mathematical
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