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Review the Initial Values for the concentration values. Zero initial concentration values can cause issues in tertiary current distributions and battery simulations since that could imply that no charge carriers or no reacting material is present initially.
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When setting up user-defined kinetics expressions, avoid evaluating negative concentrations by using expressions such as max(c, eps^2), where eps is the machine epsilon; that is, it is a very small floating-point number.
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Try to solve for low currents or low overpotentials first, then increase the cell load (for stationary problems this can be done using an Auxiliary Sweep with Continuation enabled).
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In the COMSOL Multiphysics Reference Manual:
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