Homogenization of a Nonlinear Elliptic Boundary Value Problem Modeling Galvanic Currents
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- Multiscale Modeling & Simulation
دوره 5 شماره
صفحات -
تاریخ انتشار 2006