Traditional industrial manufacturing processes typically entail three sequential stages: computer-aided design (CAD), computer-aided engineering (CAE), and computer-aided manufacturing (CAM). Notably, the representation of geometric models diverges between the initial CAD and subsequent CAE stages. While spline surfaces commonly characterize geometric models in CAD, meshes are typically employed in CAE, necessitating significant time expenditure in the conversion between these disparate representations. Isogeometric analysis, introduced by Thomas J. R. Hughes, a distinguished member of the American Academy of Sciences, in 2005, offers a numerical simulation method founded on direct finite element analysis utilizing geometric models. Its fundamental premise revolves around integrating CAD and CAE processes seamlessly. The core concept involves directly applying spline representations from the CAD stage to the CAE analysis phase. In recent years, our research group has undertaken significant investigations in IsoGeometric Analysis (IGA), encompassing several key aspects: developing splines optimized for analysis, spline parameterization, addressing matrix assembly challenges, and conducting error analyses pertinent to geometric analysis.