Adaptive finite element simulation of currents at microelectrodes to a guaranteed accuracy. An E reaction at a channel microband electrode

We extend our earlier work (K. Harriman et al., Electrochem. Commun. 2 (2000) 150) on adaptive finite element methods for disc electrodes to the case of an E reaction mechanism to the increasingly popular channel microband electrode configuration. We use the standard Galerkin finite element method for the diffusion-dominated (low-flow) case, and the streamline diffusion finite element method for the convection-dominated (high-flow) case. We demonstrate excellent agreement with previous approximate analytical results across the range of parameters of interest, on comparatively coarse meshes.