The application of adaptive mesh constraints requires the definition of an adaptive mesh domain.

Yes, that's correct. In order to apply adaptive mesh constraints, you need to define a domain in which the mesh will be refined or coarsened based on certain criteria. This domain can be defined in terms of geometric boundaries or physical properties, such as regions of high gradient or areas of interest in the simulation. Once the domain is defined, the adaptive mesh algorithm will use this information to selectively refine or coarsen the mesh in order to improve the accuracy and efficiency of the simulation.