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Title: | Adaptive T-spline refinement for isogeometric analysis in planar geometries | Authors: | López, J. I. Brovka, Marina Escobar Sánchez, José María Cascón Barbero, José Manuel Montenegro Armas, Rafael |
UNESCO Clasification: | 12 Matemáticas 1206 Análisis numérico 1204 Geometría |
Keywords: | T-spline parameterization Simultaneous T-mesh untangling and smoothing Meccano method Isogeometric analysis. |
Issue Date: | 2014 | Abstract: | We present a new strategy, based on the meccano method [1, 2, 3], to construct a T-spline parameterization of 2D geometries for the application of isogeometric analysis. The proposed method only demands a boundary representation of the geometry as input data. The algorithm obtains, as a result, high quality parametric transformation between 2D objects and the parametric domain, the unit square. The key of the method lies in defining an isomorphic transformation between the parametric and physical T-mesh finding the optimal position of the interior nodes by applying a new T-mesh untangling and smoothing procedure. Bivariate T-spline representation is calculated by imposing the interpolation conditions on points sited both on the interior and on the boundary of the geometry… | URI: | https://accedacris.ulpgc.es/handle/10553/16810 | Source: | Isogeometric Analysis: Integrating Design and Analysis (IGA 2014). --Austin, Texas, USA. -- 8-10 de enero de 2014 | Rights: | by-nc-nd |
Appears in Collections: | Actas de congresos |
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