Isogeometric analysis of minimal surfaces on the basis of extended Catmull–Clark subdivision

We study the application of Isogeometric Analysis based on extended Catmull–Clark subdivision approach for the minimal surface models on planar domains. Subdivision approaches are compatible with NURBS as the standard of CAD systems which are capable of the refinability of B-spline techniques. The exactness of the physical domain of interest is fixed patchwise by the coarsest quadrilateral mesh and maintained through refinement. By performing...