Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis
نویسندگان
چکیده
منابع مشابه
Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis
In isogeometric analysis (IGA for short) framework, computational domain is exactly described using the same representation as that employed in the CAD process. For a CAD object, we can construct various computational domain with same shape but with different parameterization. One basic requirement is that the resulting parameterization should have no self-intersections. In this paper, a linear...
متن کاملOptimal analysis-aware parameterization of computational domain in 3D isogeometric analysis
In isogeometric analysis framework, computational domain is exactly described using the same representation as that employed in the CAD process. For a CAD object, we can construct various computational domain with same shape but with different parameterization. One basic requirement is that the resulting parameterization should have no self-intersections. In this paper, a linear and easy-to-che...
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Isogeometric Analysis uses NURBS representations of the domain for performing numerical simulations. The first part of this paper presents a variational framework for generating NURBS parameterizations of swept volumes. The class of these volumes covers a number of interesting free-form shapes, such as blades of turbines and propellers, ship hulls or wings of airplanes. The second part of the p...
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Isogeometric Analysis (IGA) was introduced by Hughes et al. in 2005 [1] as a new method to bridge the gap between the geometry description and numerical analysis. Similar to the finite element approach, the IGA concept to solve a partial differential equation leads to a (linear) system of equations. The condition number of the coefficient matrix is a crucial factor for the stability of the syst...
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ژورنال
عنوان ژورنال: Computer-Aided Design
سال: 2013
ISSN: 0010-4485
DOI: 10.1016/j.cad.2011.05.007