Homogenization of a Nonlinear Elliptic Boundary Value Problem Modeling Galvanic Currents
Younus Bhat, Shari Moskow · Multiscale Modeling and Simulation · 2006
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.