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Self-organized patterns of cathode spots in glow discharges are computed inthe cathode boundary layer geometry, which is the one employed in most of theexperiments reported in the literature. The model comprises conservation andtransport equations of electrons and a single ion species, written in thedrift-diffusion and local-field approximations, and Poisson's equation.Multiple solutions existing for the same value of the discharge current anddescribing modes with different configurations of cathode spots are computed bymeans of a stationary solver. The computed solutions are compared to theircounterparts for plane-parallel electrodes, and experiments. All of thecomputed spot patterns have been observed in the experiment.

Modelling cathode spots in glow discharges in the cathode boundary layer geometry