This paper deals with the defect correction principle used to estimate the error and to
improve the accuracy of the numerical solution of ordinary differential
equations. If the basic numerical method is designed for a special type of equation
only, as is the case for many geometric integrators, a splitting approach enables the
application of the defect correction principle in this case as well. We show experimental order
results and fixed point properties of iterated defect correction when applied to
various geometric integration methods in this setting.