Keynote

Isogeometric analysis with lattice hierarchical B-splines

  • Bracco, Cesare (University of Florence)
  • Giannelli, Carlotta (University of Florence)
  • Kanduč, Tadej (University of Ljubljana)
  • Verhelst, Hugo (Eindhoven University of Technology)

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In the context of adaptive isogeometric methods, local refinement has been analyzed only in the case of isotropic splitting. To this end, (truncated) hierarchical B-splines, (T)HB-splines, have been used extensively as building blocks for adaptive strategies, also in the case of planar and surface multi-pach domains. Since anisotropic hierarchical refinement is not directly available, partially nested HB-splines based on patchwork mesh refinement has been also proposed. The talk will discuss recent advances in the design of adaptive spline refinement schemes based on a lattice approach to hierarchical B-spline constructions which enables partially and locally nested anisotropic splitting of mesh elements. Related application algorithms for adaptive isogeometric analysis will be discussed.