Optimal Analysis-Aware Parameterization of Computational Domain in Isogeometric Analysis

Abstract. 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 and easy-to-check sufficient condition for injectivity of planar B-spline parameterization is proposed. By an example of 2D thermal conduction problem, we show that different parameterization of computational domain has different impact on the simulation result and efficiency in IGA. For problems with exact solutions, we propose a shape optimization method to obtain optimal parameterization of computational domain. The proposed injective condition is used to check the injectivity of initial parameterization constructed by discrete Coons method. Several examples and comparisons are pres...

• Type: Conference
• Year: 2010
• Where: GMP
• Authors: Gang Xu, Bernard Mourrain, Régis Duvigneau, André Galligo
• Keywords: Computational Domain, GMP 2010, Initial Parameterization, Optimal Parameterization, Solid Modeling