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

Abstract : 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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https://hal.inria.fr/hal-02271957
Contributor : Angelos Mantzaflaris <>
Submitted on : Tuesday, August 27, 2019 - 1:33:54 PM
Last modification on : Thursday, November 26, 2020 - 3:50:03 PM

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Carlotta Giannelli, Bert Jüttler, Stefan 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, Elsevier, 2016, 299, pp.337-365. ⟨10.1016/j.cma.2015.11.002⟩. ⟨hal-02271957⟩

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