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Giannelli, Carlotta; Jüttler, Bert; Kleiss, Stefan K.; Mantzaflaris, Angelos; Simeon, Bernd; Špeh, Jaka
Computer methods in applied mechanics and engineering, 02/2016, Letnik: 299Journal Article
Local refinement with hierarchical B-spline structures is an active topic of research in the context of geometric modeling and isogeometric analysis. By exploiting a multilevel control structure, we show that truncated hierarchical B-spline (THB-spline) representations support interactive modeling tools, while simultaneously providing effective approximation schemes for the manipulation of complex data sets and the solution of partial differential equations via isogeometric analysis. A selection of illustrative 2D and 3D numerical examples demonstrates the potential of the hierarchical framework.
