【学术报告会】厦门大学曹娟博士学术报告会通知

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

欢迎广**生参会学习交流!


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 ****ysis 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/