A system and method for carrying out an isogeometric analysis process includes accessing the CAD model of the object from the memory. The process also includes analyzing the CAD model to generate a pre-refinement geometric map of the CAD object that has a smoothness projected to maintain a consistency of a geometric map based on the pre-refinement geometric map during a refinement of the mesh. The process further includes refining the mesh based on the pre-refinement geometric map to converge toward a refinement criteria associated with the CAD model.