Efficient spectral methods for elliptic PDEs in domains of complex geometry
来源:数学科学学院
发布时间:2019-03-08
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报告人: Dr. Yiqi Gu, Department of Mathematics, Purdue University
报告题目: Efficient spectral methods for elliptic PDEs in domains of complex geometry
摘要: An efficient spectral solver is developed for elliptic partial differential equations in complex domains. By a fictitious domain approach, an extended problem is built by embedding the original domain into an enlarged and regular one. Two types of Petrov-Galerkin formulations with special trial and test functions are presented and analyzed. A fast algorithm is developed for solving the corresponding linear system. We present ample numerical results to show the efficiency and accuracy of this approach.
时间:2019年3月12日下午1:30-2:30
地点:工商楼200-9
联系人:王何宇(wangheyu@zju.edu.cn)
报告人介绍: 顾亦奇博士, 是浙江大学数学科学学院2012届(08级)信息与计算科学专业优秀毕业生。先后在美国华盛顿大学和普渡大学攻读硕士与博士学位,博士导师沈捷教授。他的研究方向主要为微分方程数值解,计算流体力学,数据科学和机器学习。
欢迎有兴趣的老师和同学参加(欢迎本科同学)。