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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…
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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