报告人：徐岗
INRIA Sophia-antipolis
题目：Parameterization of computational domain in Isogeometric Analysis: Methods and comparison
时间：８月４号 下午４：００－５:００
地点：管理科研楼1518室
摘要： The isogeometric analysis (IGA for short) approach proposed by Hughes et al. can be employed to overcome the gap between CAD and finite element analysis (FEA for short) by using the same geometric representation based on NURBS for alll design and analysis tasks. In the IGA framework, the parameterization of the computational domain, which corresponds to the mesh generation in FEA, has great impacts on the analysis result and efficiency. In this talk, after presenting the importance of computational domain in IGA by several examples, two issues about the parameterization of computational domain will be discussed, one is the construction of computational domain from given boundary geometry for general IGA problems; another one is the optimization of given computational domain for specified IGA problems. In the first part, varational harmonic method will be employed to construct injective computational domain with high quality. In the second part, r-refinement for IGA application will be introduced. For r-refinement, the difference with h-refinement, p-refinement and k-refinement is that the number of control points and the degree of basis functions are unaltered and the positions of control points on the computational domain are subjected to change upon the required degree of accuracy. By r-refinement, an optimal analysis-aware parametrization of computational domain can be achieved by minimizing the residual-based posteriori error estimation, which is computed by inverse mapping from solution field to computational domain based on the idea of IGA. Several examples for 2D and 3D analysis problems will be presented to show the effectiveness of the proposed methods in IGA.
主办单位：中国科学技术大学数学科学学院
欢迎感兴趣的师生参加！
INRIA Sophia-antipolis
题目：Parameterization of computational domain in Isogeometric Analysis: Methods and comparison
时间：８月４号 下午４：００－５:００
地点：管理科研楼1518室
摘要： The isogeometric analysis (IGA for short) approach proposed by Hughes et al. can be employed to overcome the gap between CAD and finite element analysis (FEA for short) by using the same geometric representation based on NURBS for alll design and analysis tasks. In the IGA framework, the parameterization of the computational domain, which corresponds to the mesh generation in FEA, has great impacts on the analysis result and efficiency. In this talk, after presenting the importance of computational domain in IGA by several examples, two issues about the parameterization of computational domain will be discussed, one is the construction of computational domain from given boundary geometry for general IGA problems; another one is the optimization of given computational domain for specified IGA problems. In the first part, varational harmonic method will be employed to construct injective computational domain with high quality. In the second part, r-refinement for IGA application will be introduced. For r-refinement, the difference with h-refinement, p-refinement and k-refinement is that the number of control points and the degree of basis functions are unaltered and the positions of control points on the computational domain are subjected to change upon the required degree of accuracy. By r-refinement, an optimal analysis-aware parametrization of computational domain can be achieved by minimizing the residual-based posteriori error estimation, which is computed by inverse mapping from solution field to computational domain based on the idea of IGA. Several examples for 2D and 3D analysis problems will be presented to show the effectiveness of the proposed methods in IGA.
主办单位：中国科学技术大学数学科学学院
欢迎感兴趣的师生参加！
