20.500.12556/RUL-159395 Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on domains whose boundaries are represented as computer-aided design (CAD) models, more specifically non-uniform rational B-splines (NURBS). This new algorithm enables the solution of partial differential equations within the volumes enclosed by these CAD models using (collocation-based) meshless numerical discretizations. Our hierarchical algorithm first generates quasi-uniform node sets directly on the NURBS surfaces representing the domain boundary, then uses the NURBS representation in conjunction with the surface nodes to generate nodes within the volume enclosed by the NURBS surface. We provide evidence for the quality of these node sets by analyzing them in terms of local regularity and separation distances. Finally, we demonstrate that these node sets are well-suited (both in terms of accuracy and numerical stability) for meshless radial basis function generated finite differences discretizations of the Poisson, Navier-Cauchy, and heat equations. Our algorithm constitutes an important step in bridging the field of node generation for meshless discretizations with isogeometric analysis. meshless advancing front algorithms NURBS B-splines CAD RBF-FD računalniško načrtovanje računalniški algoritmi parcialne diferencialne enačbe true false true Angleški jezik Slovenski jezik Članek v reviji 2024-07-09 12:49:41 2024-07-09 12:49:46 2024-07-16 03:24:37 0000-00-00 00:00:00 2024 0 0 22 str. iss. 2, art. 51 Vol. 100 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 1573-7691 10.1007/s10915-024-02597-z 201006595 s10915-024-02597-z.pdf s10915-024-02597-z.pdf 1 7F9ED1F5DCEA91A8B21106322133F14E 819002f1fdc3ac6da608612405ea2984243dc84fe44d97c6f8a982768e7e28df 33f898d6-3de1-11ef-8f74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=187402 https://link.springer.com/article/10.1007/s10915-024-02597-z 1 f4913f14-3de0-11ef-8f74-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=187401 Fakulteta za matematiko in fiziko 0 0 0