An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics

N. Nguyen-Thanh, J. Muthu, X. Zhuang, Timon Rabczuk

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47 Citations (Scopus)


An adaptive three-dimensional isogeometric formulation based on rational splines over hierarchical T-meshes (RHT-splines) for problems in elasto-statics and elasto-dynamics is presented. RHT-splines avoid some short-comings of NURBS-based formulations; in particular they allow for adaptive h-refinement with ease. In order to drive the adaptive refinement, we present a recovery-based error estimator for RHT-splines. The method is applied to several problems in elasto-statics and elasto-dynamics including three-dimensional modeling of thin structures. The results are compared to analytical solutions and results of NURBS based isogeometric formulations.

Original languageEnglish
Pages (from-to)369-385
Number of pages17
JournalComputational Mechanics
Issue number2
Publication statusPublished - 2014 Feb 1



  • Isogeometric analysis
  • PHT-splines
  • RHT-splines

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Computational Mathematics

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