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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2016

THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis

Résumé

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.
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Dates et versions

hal-02271957 , version 1 (27-08-2019)

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Carlotta Giannelli, Bert Jüttler, Stefan K Kleiss, Angelos Mantzaflaris, Bernd Simeon, et al.. THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 2016, 299, pp.337-365. ⟨10.1016/j.cma.2015.11.002⟩. ⟨hal-02271957⟩
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