Actually, physically, we expect the B field inside the conductor domain to become lower as we go progressively further from the “air”-conductor interface. Consider:
This is consistent with what I’ve seen doing magnetic field calculations. As an academic exercise, you might try modeling a straight conductor (after the system posed in the link above) and see if the field drops off linearly with R. My hunch is that your mesh is almost certainly adequate – no need for further refinement.
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