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【学术报告会】厦门大学曹娟博士学术报告会通知

阅读量:757 发布时间:2018-12-04 13:59:57

时间:2018128日上午1000
地点:第一教学楼3楼会议室

报告人:曹娟  厦门大学

题目: Isogeometric Analysis Based on Bivariate Simplex Splines on Triangle Configurations

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摘要: Recently, a new bivariate simplex spline scheme based on triangle configurations has been introduced into the geometric computing community. It defines a complete bivariate spline space that retains many attractive theoretic properties of classical B-splines, e.g., inbuilt Cn-1continuity across the triangle edges (n is the degree and there are no collinear knots). In this study, we propose a framework for isogeometric analysis using bivariate simplex splines defined on triangle configurations. The centroidal Voronoi tessellation method is used to generate knots on the domain. Then, knot subsets are carefully selected by a locally computed triangulation, on which shape functions are recursively computed. To achieve high-precision numerical integration, triangle faces served as background integration cells are obtained by triangulating the entire domain restricted to all knot-lines. Various numerical examples are carried out to numerically demonstrate the efficacy/flexibility and optimal convergence of the proposed method.

简介:曹娟,厦门大学数学科学学院副教授、博士生导师。2009年毕业于浙江大学数学系获应用数学专业博士学位,毕业至今在厦门大学数学科学学院工作,并先后在美国纽约州立大学石溪分校、新加坡南洋理工大学、香港大学、美国卡内基梅陇大学进行访问研究。主要研究兴趣为计算机辅助设计与图形学,已发表学术论文30余篇,其中多篇发表在IEEE TVCGCADCGFCAGD等重要期刊。个人主页:http://graphics.xmu.edu.cn/~juancao/