  In this work we consider the problem of optimizing a stellarator subject to
hard constraints on the design variables and physics properties of the
equilibrium. We survey current numerical methods for handling these
constraints, and summarize a number of methods from the wider optimization
community that have not been used extensively for stellarator optimization thus
far. We demonstrate the utility of new methods of constrained optimization by
optimizing a QA stellarator for favorable physics properties while preventing
strong shaping of the plasma boundary which can be difficult to create with
external current sources.
